1221 lines
54 KiB
HTML
1221 lines
54 KiB
HTML
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<title>Venti: a new approach to archival storage</title>
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<h1>Venti: a new approach to archival storage</h1>
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<p>
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Sean Quinlan and Sean Dorward
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<br>
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Bell Labs, Lucent Technologies
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<p>
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<h1>Abstract</h1>
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<p>
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This paper describes a network storage system, called Venti, intended
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for archival data. In this system, a unique hash of a block's
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contents acts as the block identifier for read and write operations.
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This approach enforces a write-once policy, preventing accidental or
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malicious destruction of data. In addition, duplicate copies of a
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block can be coalesced, reducing the consumption of storage and
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simplifying the implementation of clients. Venti is a building block
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for constructing a variety of storage applications such as logical
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backup, physical backup, and snapshot file systems.
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<p>
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We have built a prototype of the system and present some preliminary
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performance results. The system uses magnetic disks as the storage
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technology, resulting in an access time for archival data that is
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comparable to non-archival data. The feasibility of the write-once
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model for storage is demonstrated using data from over a decade's use
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of two Plan 9 file systems.
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<p>
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<h1>1. Introduction</h1>
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<p>
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Archival storage is a second class citizen. Many computer
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environments provide access to a few recent versions of the
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information stored in file systems and databases, though this access
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can be tedious and may require the assistance of a system
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administrator. Less common is the ability for a user to examine data
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from last month or last year or last decade. Such a feature may not
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be needed frequently, but when it is needed it is often crucial.
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<p>
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The growth in capacity of storage technologies exceeds the ability of
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many users to generate data, making it practical to archive data in
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perpetuity. Plan 9, the computing environment that the authors use,
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includes a file system that stores archival data to an optical jukebox
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[16, 17]. Ken Thompson observed that, for our usage patterns, the
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capacity of the jukebox could be considered infinite. In the time it
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took for us to fill the jukebox, the improvement in technology would
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allow us to upgrade to a new jukebox with twice the capacity.
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<p>
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Abundant storage suggests that an archival system impose a write-once
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policy. Such a policy prohibits either a user or administrator from
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deleting or modifying data once it is stored. This approach greatly
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reduces the opportunities for accidental or malicious data loss and
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simplifies the system's implementation.
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<p>
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Moreover, our experience with Plan 9 is that a write-once policy
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changes the way one views storage. Obviously, some data is temporary,
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derivative, or so large that it is either undesirable or impractical
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to retain forever and should not be archived. However, once it is
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decided that the data is worth keeping, the resources needed to store
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the data have been consumed and cannot be reclaimed. This eliminates
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the task of periodically "cleaning up" and deciding whether the data
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is still worth keeping. More thought is required before storing the
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data to a write-once archive, but as the cost of storage continues to
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fall, this becomes an easy decision.
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<p>
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This paper describes the design and implementation of an archival
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server, called Venti. The goal of Venti is to provide a write-once
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archival repository that can be shared by multiple client machines and
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applications. In addition, by using magnetic disks as the primary
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storage technology, the performance of the system approaches that of
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non-archival storage.
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<p>
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<h1>2. Background</h1>
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<p>
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A prevalent form of archival storage is the regular backup of data to
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magnetic tape [15]. A typical scenario is to provide backup as a
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central service for a number of client machines. Client software
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interfaces with a database or file system and determines what data to
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back up. The data is copied from the client to the tape device, often
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over a network, and a record of what was copied is stored in a catalog
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database.
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<p>
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Restoring data from a tape backup system can be tedious and error
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prone. The backup system violates the access permission of the file
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system, requiring a system administrator or privileged software to
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perform the task. Since they are tedious, restore operations are
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infrequent and problems with the process may go undetected. Potential
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sources of error abound: tapes are mislabeled or reused or lost,
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drives wander out of alignment and cannot read their old tapes,
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technology becomes obsolete.
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<p>
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For tape backup systems, a tradeoff exists between the performance of
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backup and restore operations [1]. A full backup simplifies the
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process of restoring data since all the data is copied to a continuous
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region on the tape media. For large file systems and databases,
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incremental backups are more efficient to generate, but such backups
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are not self-contained; the data for a restore operation is scattered
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across multiple incremental backups and perhaps multiple tapes. The
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conventional solution is to limit the extent of this scattering by
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performing a full backup followed by a small number of incremental
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backups.
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<p>
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File systems such as Plan 9 [16, 17], WAFL [5], and AFS [7] provide a
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more unified approach to the backup problem by implementing a snapshot
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feature. A snapshot is a consistent read-only view of the file system
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at some point in the past. The snapshot retains the file system
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permissions and can be accessed with standard tools (ls, cat, cp,
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grep, diff) without special privileges or assistance from an
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administrator. In our experience, snapshots are a relied-upon and
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frequently-used resource because they are always available and easy to
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access.
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<p>
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Snapshots avoid the tradeoff between full and incremental backups.
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Each snapshot is a complete file system tree, much like a full backup.
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The implementation, however, resembles an incremental backup because
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the snapshots and the active file system share any blocks that remain
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unmodified; a snapshot only requires additional storage for the blocks
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that have changed. To achieve reasonable performance, the device that
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stores the snapshots must efficiently support random access, limiting
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the suitability of tape storage for this approach.
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<p>
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In the WAFL and AFS systems, snapshots are ephemeral; only a small
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number of recent versions of the file system are retained. This
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policy is reasonable since the most recent versions of files are the
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most useful. For these systems, archival storage requires an
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additional mechanism such as tape backup.
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<p>
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The philosophy of the Plan 9 file system is that random access storage
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is sufficiently cheap that it is feasible to retain snapshots
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permanently. The storage required to retain all daily snapshots of a
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file system is surprisingly modest; later in the paper we present
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statistics for two file servers that have been in use over the last 10
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years.
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<p>
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Like Plan 9, the Elephant file system [18] retains many versions of
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data. This system allows a variety of storage reclamation policies
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that determine when a version of a file should be deleted. In
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particular, "landmark" versions of files are retained permanently and
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provide an archival record.
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<p>
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<h1>3. The Venti Archival Server</h1>
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<p>
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Venti is a block-level network storage system intended for archival
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data. The interface to the system is a simple protocol that enables
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client applications to read and write variable sized blocks of data.
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Venti itself does not provide the services of a file or backup system,
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but rather the backend archival storage for these types of
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applications.
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<p>
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Venti identifies data blocks by a hash of their contents. By using a
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collision-resistant hash function with a sufficiently large output, it
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is possible to consider the hash of a data block as unique. Such a
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unique hash is called the fingerprint of a block and can be used as
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the address for read and write operations. This approach results in a
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storage system with a number of interesting properties.
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<p>
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As blocks are addressed by the fingerprint of their contents, a block
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cannot be modified without changing its address; the behavior is
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intrinsically write-once. This property distinguishes Venti from most
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other storage systems, in which the address of a block and its
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contents are independent.
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<p>
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Moreover, writes are idempotent. Multiple writes of the same data can
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be coalesced and do not require additional storage space. This
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property can greatly increase the effective storage capacity of the
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server since it does not rely on the behavior of client applications.
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For example, an incremental backup application may not be able to
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determine exactly which blocks have changed, resulting in unnecessary
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duplication of data. On Venti, such duplicate blocks will be
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discarded and only one copy of the data will be retained. In fact,
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replacing the incremental backup with a full backup will consume the
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same amount of storage. Even duplicate data from different
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applications and machines can be eliminated if the clients write the
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data using the same block size and alignment.
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<p>
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The hash function can be viewed as generating a universal name space
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for data blocks. Without cooperating or coordinating, multiple
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clients can share this name space and share a Venti server. Moreover,
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the block level interface places few restrictions on the structures
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and format that clients use to store their data. In contrast,
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traditional backup and archival systems require more centralized
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control. For example, backup systems include some form of job
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scheduler to serialize access to tape devices and may only support a
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small number of predetermined data formats so that the catalog system
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can extract pertinent meta-data.
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<p>
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Venti provides inherent integrity checking of data. When a block is
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retrieved, both the client and the server can compute the fingerprint
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of the data and compare it to the requested fingerprint. This
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operation allows the client to avoid errors from undetected data
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corruption and enables the server to identify when error recovery is
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necessary.
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<p>
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Using the fingerprint of a block as its identity facilitates features
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such as replication, caching, and load balancing. Since the contents
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of a particular block are immutable, the problem of data coherency is
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greatly reduced; a cache or a mirror cannot contain a stale or out of
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date version of a block.
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<p>
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<h2>3.1. Choice of Hash Function</h2>
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<p>
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The design of Venti requires a hash function that generates a unique
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fingerprint for every data block that a client may want to store.
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Obviously, if the size of the fingerprint is smaller than the size of
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the data blocks, such a hash function cannot exist since there are
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fewer possible fingerprints than blocks. If the fingerprint is large
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enough and randomly distributed, this problem does not arise in
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practice. For a server of a given capacity, the likelihood that two
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different blocks will have the same hash value, also known as a
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collision, can be determined. If the probability of a collision is
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vanishingly small, we can be confident that each fingerprint is
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unique.
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<p>
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It is desirable that Venti employ a cryptographic hash function. For
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such a function, it is computationally infeasible to find two distinct
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inputs that hash to the same value [10]. This property is important
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because it prevents a malicious client from intentionally creating
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blocks that violate the assumption that each block has a unique
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fingerprint. As an additional benefit, using a cryptographic hash
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function strengthens a client's integrity check, preventing a
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malicious server from fulfilling a read request with fraudulent data.
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If the fingerprint of the returned block matches the requested
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fingerprint, the client can be confident the server returned the
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original data.
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<p>
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Venti uses the Sha1 hash function [13] developed by the US National
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Institute for Standards and Technology (NIST). Sha1 is a popular hash
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algorithm for many security systems and, to date, there are no known
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collisions. The output of Sha1 is a 160 bit (20 byte) hash value.
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Software implementations of Sha1 are relatively efficient; for
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example, a 700Mhz Pentium 3 can compute the Sha1 hash of 8 Kbyte data
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blocks in about 130 microseconds, a rate of 60 Mbytes per second.
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<p>
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Are the 160 bit hash values generated by Sha1 large enough to ensure
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the fingerprint of every block is unique? Assuming random hash values
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with a uniform distribution, a collection of n different data blocks
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and a hash function that generates b bits, the probability p that
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there will be one or more collisions is bounded by the number of pairs
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of blocks multiplied by the probability that a given pair will
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collide, i.e.
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<p>
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<img src="probablity.gif" ALT="probablity">
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<p>
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Today, a large storage system may contain a petabyte (10^15 bytes) of data.
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Consider an even larger system that contains an exabyte (10^18 bytes)
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stored as 8 Kbyte blocks (~10^14 blocks). Using the Sha1 hash function, the
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probability of a collision is less than 10^-20. Such a scenario seems
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sufficiently unlikely that we ignore it and use the Sha1 hash as a
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unique identifier for a block. Obviously, as storage technology
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advances, it may become feasible to store much more than an exabyte,
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at which point it maybe necessary to move to a larger hash function.
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NIST has already proposed variants of Sha1 that produce 256, 384, and
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512 bit results [14]. For the immediate future, however, Sha1 is a
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suitable choice for generating the fingerprint of a block.
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<p>
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<h2>3.2. Choice of Storage Technology</h2>
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<p>
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When the Plan 9 file system was designed in 1989, optical jukeboxes
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offered high capacity with respectable random access performance and
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thus were an obvious candidate for archival storage. The last decade,
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however, has seen the capacity of magnetic disks increase at a far
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faster rate than optical technologies [20]. Today, a disk array costs
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less than the equivalent capacity optical jukebox and occupies less
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physical space. Disk technology is even approaching tape in cost per
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bit.
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<p>
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Magnetic disk storage is not as stable or permanent as optical media.
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Reliability can be improved with technology such as RAID, but unlike
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write-once optical disks, there is little protection from erasure due
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to failures of the storage server or RAID array firmware. This issue
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is discussed in Section 7.
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<p>
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Using magnetic disks for Venti has the benefit of reducing the
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disparity in performance between conventional and archival storage.
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Operations that previously required data to be restored to magnetic
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disk can be accomplished directly from the archive. Similarly, the
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archive can contain the primary copy of often-accessed read-only data.
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In effect, archival data need not be further down the storage
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hierarchy; it is differentiated by the write-once policy of the
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server.
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<p>
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<h1>4. Applications</h1>
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<p>
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Venti is a building block on which to construct a variety of storage
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applications. Venti provides a large repository for data that can be
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shared by many clients, much as tape libraries are currently the
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foundation of many centralized backup systems. Applications need to
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accommodate the unique properties of Venti, which are different from
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traditional block level storage devices, but these properties enable a
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number of interesting features.
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<p>
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Applications use the block level service provided by Venti to store
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more complex data structures. Data is divided into blocks and written
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to the server. To enable this data to be retrieved, the application
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must record the fingerprints of these blocks. One approach is to pack
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the fingerprints into additional blocks, called pointer blocks, that
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are also written to the server, a process that can be repeated
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recursively until a single fingerprint is obtained. This fingerprint
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represents the root of a tree of blocks and corresponds to a
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hierarchical hash of the original data.
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<p>
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A simple data structure for storing a linear sequence of data blocks
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is shown in Figure 1. The data blocks are located via a fixed depth
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tree of pointer blocks which itself is addressed by a root
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fingerprint. Applications can use such a structure to store a single
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file or to mimic the behavior of a physical device such as a tape or a
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disk drive. The write-once nature of Venti does not allow such a tree
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to be modified, but new versions of the tree can be generated
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efficiently by storing the new or modified data blocks and reusing the
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unchanged sections of the tree as depicted in Figure 2.
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<p>
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<img src="SimpleTree.gif" ALT="simple tree">
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<p>
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Figure 1. A tree structure for storing a linear sequence of blocks
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<p>
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<img src="ModifiedTree.gif" ALT="modified tree">
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<p>
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Figure 2. Build a new version of the tree.
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<p>
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By mixing data and fingerprints in a block, more complex data
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structures can be constructed. For example, a structure for storing a
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file system may include three types of blocks: directory, pointer, and
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data. A directory block combines the meta information for a file and
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the fingerprint to a tree of data blocks containing the file's
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contents. The depth of the tree can be determined from the size of
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the file, assuming the pointer and data blocks have a fixed size.
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Other structures are obviously possible. Venti's block-level
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interface leaves the choice of format to client applications and
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different data structures can coexist on a single server.
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<p>
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The following sections describes three applications that use Venti as
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an archival data repository: a user level archive utility called vac,
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a proposal for a physical level backup utility, and our preliminary
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work on a new version of the Plan 9 file system.
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<p>
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<h2>4.1. Vac</h2>
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<p>
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Vac is an application for storing a collection of files and
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directories as a single object, similar in functionality to the
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utilities tar and zip. With vac, the contents of the selected files
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are stored as a tree of blocks on a Venti server. The root
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fingerprint for this tree is written to a vac archive file specified
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by the user, which consists of an ASCII representation of the 20 byte
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root fingerprint plus a fixed header string, and is always 45 bytes
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long. A corresponding program, called unvac, enables the user to
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restore files from a vac archive. Naturally, unvac requires access to
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the Venti server that contains the actual data, but in most situations
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this is transparent. For a user, it appears that vac compresses any
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amount of data down to 45 bytes.
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<p>
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An important attribute of vac is that it writes each file as a
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separate collection of Venti blocks, thus ensuring that duplicate
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copies of a file will be coalesced on the server. If multiple users
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vac the same data, only one copy will be stored on the server.
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Similarly, a user may repeatedly vac a directory over time and even if
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the contents of the directory change, the additional storage consumed
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on the server will be related to the extent of the changes rather than
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the total size of the contents. Since Venti coalesces data at the
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block level, even files that change may share many blocks with
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previous versions and thus require little space on the server; log and
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database files are good examples of this scenario.
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<p>
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On many Unix systems, the dump utility is used to back up file
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systems. Dump has the ability to perform incremental backups of data;
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a user specifies a dump level, and only files that are new or have
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changed since the last dump at this level are written to the archive.
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To implement incremental backups, dump examines the modified time
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associated with each file, which is an efficient method of filtering
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out the unchanged files.
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<p>
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Vac also implements an incremental option based on the file
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modification times. The user specifies an existing vac file and this
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archive is used to reduce the number of blocks written to the Venti
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server. For each file, vac examines the modified time in both the
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file system and the vac archive. If they are the same, vac copies the
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fingerprint for the file from the old archive into the new archive.
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Copying just the 20-byte fingerprint enables the new archive to
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include the entire file without reading the data from the file system
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nor writing the data across the network to the Venti server. In
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addition, unlike an incremental dump, the resulting archive will be
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identical to an archive generated without the incremental option; it
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is only a performance improvement. This means there is no need to
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have multiple levels of backups, some incremental, some full, and so
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restore operations are greatly simplified.
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<p>
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A variant of the incremental option improves the backup of files
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without reference to modification times. As vac reads a file, it
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computes the fingerprint for each block. Concurrently, the pointer
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blocks of the old archive are examined to determine the fingerprint
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for the block at the same offset in the old version of the file. If
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the fingerprints are the same, the block does not need to be written
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to Venti. Instead, the fingerprint can simply be copied into the
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appropriate pointer block. This optimization reduces the number of
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writes to the Venti server, saving both network and disk bandwidth.
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Like the file level optimization above, the resulting vac file is no
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different from the one produced without this optimization. It does,
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however, require the data for the file to be read and is only
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effective if there are a significant number of unchanged blocks.
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<p>
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<h2>4.2. Physical backup</h2>
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<p>
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|
|
Utilities such as vac, tar, and dump archive data at the file or
|
|
logical level: they walk the file hierarchy converting both data and
|
|
meta-data into their own internal format. An alternative approach is
|
|
block-level or physical backup, in which the disk blocks that make up
|
|
the file system are directly copied without interpretation. Physical
|
|
backup has a number of benefits including simplicity and potentially
|
|
much higher throughput [8]. A physical backup utility for file
|
|
systems that stores the resulting data on Venti appears attractive,
|
|
though we have not yet implemented such an application.
|
|
<p>
|
|
|
|
The simplest form of physical backup is to copy the raw contents of
|
|
one or mores disk drives to Venti. The backup also includes a tree of
|
|
pointer blocks, which enables access to the data blocks. Like vac,
|
|
the end result is a single fingerprint representing the root of the
|
|
tree; that fingerprint needs to be recorded outside of Venti.
|
|
<p>
|
|
|
|
Coalescing duplicate blocks is the main advantage of making a physical
|
|
backup to Venti rather than copying the data to another storage medium
|
|
such as tape. Since file systems are inherently block based, we
|
|
expect coalescing to be effective. Not only will backups of a file
|
|
system over time share many unchanged blocks, but even file systems
|
|
for different machines that are running the same operating system may
|
|
have many blocks in common. As with vac, the user sees a full backup
|
|
of the device, while retaining the storage space advantages of an
|
|
incremental backup.
|
|
<p>
|
|
|
|
One enhancement to physical backup is to copy only blocks that are
|
|
actively in use in the file system. For most file system formats it
|
|
is relatively easy to determine if a block is in use or free without
|
|
walking the file system hierarchy. Free blocks generally contain the
|
|
remnants of temporary files that were created and removed in the time
|
|
between backups and it is advantageous not to store such blocks. This
|
|
optimization requires that the backup format be able to represent
|
|
missing blocks, which can easily be achieved on Venti by storing a
|
|
null value for the appropriate entry in the pointer tree.
|
|
<p>
|
|
|
|
The random access performance of Venti is sufficiently good that it is
|
|
possible to use a physical backup without first restoring it to disk.
|
|
With operating system support, it is feasible to directly mount a
|
|
backup file system image from Venti. Access to this file system is
|
|
read only, but it provides a natural method of restoring a subset of
|
|
files. For situations where a full restore is required, it might be
|
|
possible to do this restore in a lazy fashion, copying blocks from
|
|
Venti to the file system as needed, instead of copying the entire
|
|
contents of the file system before resuming normal operation.
|
|
<p>
|
|
|
|
The time to perform a physical backup can be reduced using a variety
|
|
of incremental techniques. Like vac, the backup utility can compute
|
|
the fingerprint of each block and compare this fingerprint with the
|
|
appropriate entry in the pointer tree of a previous backup. This
|
|
optimization reduces the number of writes to the Venti server. If the
|
|
file system provides information about which blocks have changed, as
|
|
is the case with WAFL, the backup utility can avoid even reading the
|
|
unchanged blocks. Again, a major advantage of using Venti is that the
|
|
backup utility can implement these incremental techniques while still
|
|
providing the user with a full backup. The backup utility writes the
|
|
new blocks to the Venti server and constructs a pointer tree with the
|
|
appropriate fingerprint for the unchanged blocks.
|
|
<p>
|
|
|
|
<h2>4.3. Plan 9 File system</h2>
|
|
<p>
|
|
|
|
When combined with a small amount of read/write storage, Venti can be
|
|
used as the primary location for data rather than a place to store
|
|
backups. A new version of the Plan 9 file system, which we are
|
|
developing, exemplifies this approach.
|
|
<p>
|
|
|
|
Previously, the Plan 9 file system was stored on a combination of
|
|
magnetic disks and a write-once optical jukebox. The jukebox
|
|
furnishes the permanent storage for the system, while the magnetic
|
|
disks act as a cache for the jukebox. The cache provides faster file
|
|
access and, more importantly, accumulates the changes to the file
|
|
system during the period between snapshots. When a snapshot is taken,
|
|
new or modified blocks are written from the disk cache to the jukebox.
|
|
<p>
|
|
|
|
The disk cache can be smaller than the active file system, needing
|
|
only to be big enough to contain the daily changes to the file system.
|
|
However, accesses that miss the cache are significantly slower since
|
|
changing platters in the jukebox takes several seconds. This
|
|
performance penalty makes certain operations on old snapshots
|
|
prohibitively expensive. Also, on the rare occasions when the disk
|
|
cache has been reinitialized due to corruption, the file server spends
|
|
several days filling the cache before performance returns to normal.
|
|
<p>
|
|
|
|
The new version of the Plan 9 file system uses Venti instead of an
|
|
optical jukebox as its storage device. Since the performance of Venti
|
|
is comparable to disk, this substitution equalizes access both to the
|
|
active and to the archival view of the file system. It also allows
|
|
the disk cache to be quite small; the cache accumulates changes to the
|
|
file system between snapshots, but does not speed file access.
|
|
<p>
|
|
|
|
<h1>5. Implementation</h1>
|
|
<p>
|
|
|
|
We have implemented a prototype of Venti. The implementation uses an
|
|
append-only log of data blocks and an index that maps fingerprints to
|
|
locations in this log. It also includes a number of features that
|
|
improve robustness and performance. This section gives a brief
|
|
overview of the implementation. Figure 3 shows a block diagram of the
|
|
server.
|
|
<p>
|
|
|
|
|
|
|
|
<img src="Block.gif" ALT="block diagram">
|
|
<p>
|
|
Figure 3. A block diagram of the Venti prototype.
|
|
<p>
|
|
|
|
Since Venti is intended for archival storage, one goal of our
|
|
prototype is robustness. The approach we have taken is to separate
|
|
the storage of data blocks from the index used to locate a block. In
|
|
particular, blocks are stored in an append-only log on a RAID array of
|
|
disk drives. The simplicity of the append-only log structure
|
|
eliminates many possible software errors that might cause data
|
|
corruption and facilitates a variety of additional integrity
|
|
strategies. A separate index structure allows a block to be
|
|
efficiently located in the log; however, the index can be regenerated
|
|
from the data log if required and thus does not have the same
|
|
reliability constraints as the log itself.
|
|
<p>
|
|
|
|
The structure of the data log is illustrated in Figure 4. To ease
|
|
maintenance, the log is divided into self-contained sections called
|
|
arenas. Each arena contains a large number of data blocks and is
|
|
sized to facilitate operations such as copying to removable media.
|
|
Within an arena is a section for data bocks that is filled in an
|
|
append-only manner. In Venti, data blocks are variable sized, up to a
|
|
current limit of 52 Kbytes, but since blocks are immutable they can be
|
|
densely packed into an arena without fragmentation.
|
|
<p>
|
|
|
|
|
|
<img src="LogFormat.gif" ALT="log format">
|
|
<p>
|
|
Figure 4. The format of the data log.
|
|
<p>
|
|
|
|
Each block is prefixed by a header that describes the contents of the
|
|
block. The primary purpose of the header is to provide integrity
|
|
checking during normal operation and to assist in data recovery. The
|
|
header includes a magic number, the fingerprint and size of the block,
|
|
the time when the block was first written, and identity of the user
|
|
that wrote it. The header also includes a user-supplied type
|
|
identifier, which is explained in Section 7. Note, only one copy of a
|
|
given block is stored in the log, thus the user and wtime fields
|
|
correspond to the first time the block was stored to the server.
|
|
<p>
|
|
|
|
Before storing a block in the log, an attempt is made to compress its
|
|
contents. The inclusion of data compression increases the effective
|
|
capacity of the archive and is simple to add given the log structure.
|
|
Obviously, some blocks are incompressible. The encoding field in the
|
|
block header indicates whether the data was compressed and, if so, the
|
|
algorithm used. The esize field indicates the size of the data after
|
|
compression, enabling the location of the next block in the arena to
|
|
be determined. The downside of using compression is the computational
|
|
cost, typically resulting in a decrease in the rate that blocks can be
|
|
stored and retrieved. Our prototype uses a custom Lempel-Ziv '77 [21]
|
|
algorithm that is optimized for speed. Compression is not a
|
|
performance bottleneck for our existing server. Future
|
|
implementations may benefit from hardware solutions.
|
|
<p>
|
|
|
|
In addition to a log of data blocks, an arena includes a header, a
|
|
directory, and a trailer. The header identifies the arena. The
|
|
directory contains a copy of the block header and offset for every
|
|
block in the arena. By replicating the headers of all the blocks in
|
|
one relatively small part of the arena, the server can rapidly check
|
|
or rebuild the system's global block index. The directory also
|
|
facilitates error recovery if part of the arena is destroyed or
|
|
corrupted. The trailer summarizes the current state of the arena
|
|
itself, including the number of blocks and the size of the log.
|
|
Within the arena, the data log and the directory start at opposite
|
|
ends and grow towards each other. When the arena is filled, it is
|
|
marked as sealed, and a fingerprint is computed for the contents of
|
|
the entire arena. Sealed arenas are never modified.
|
|
<p>
|
|
|
|
The basic operation of Venti is to store and retrieve blocks based on
|
|
their fingerprints. A fingerprint is 160 bits long, and the number of
|
|
possible fingerprints far exceeds the number of blocks stored on a
|
|
server. The disparity between the number of fingerprints and blocks
|
|
means it is impractical to map the fingerprint directly to a location
|
|
on a storage device. Instead, we use an index to locate a block
|
|
within the log.
|
|
<p>
|
|
|
|
We implement the index using a disk-resident hash table as illustrated
|
|
in Figure 5. The index is divided into fixed-sized buckets, each of
|
|
which is stored as a single disk block. Each bucket contains the
|
|
index map for a small section of the fingerprint space. A hash
|
|
function is used to map fingerprints to index buckets in a roughly
|
|
uniform manner, and then the bucket is examined using binary search.
|
|
If provisioned with sufficient buckets, the index hash table will be
|
|
relatively empty and bucket overflows will be extremely rare. If a
|
|
bucket does overflow, the extra entries are placed in an adjacent
|
|
bucket. This structure is simple and efficient, requiring one disk
|
|
access to locate a block in almost all cases.
|
|
<p>
|
|
|
|
|
|
<p>
|
|
|
|
<img src="Index.gif" ALT="index format">
|
|
<p>
|
|
|
|
Figure 5. Format of the index.
|
|
<p>
|
|
|
|
The need to go through an index is the main performance penalty for
|
|
Venti compared to a conventional block storage device. Our prototype
|
|
uses three techniques to increase the performance: caching, striping,
|
|
and write buffering.
|
|
<p>
|
|
|
|
The current implementation has two important caches of approximately
|
|
equal size: a block cache and an index cache. A hit in the block
|
|
cache returns the data for that fingerprint, bypassing the both the
|
|
index lookup and access to the data log. Hits in the index cache
|
|
eliminate only the index lookup, but the entries are much smaller and
|
|
the hit rate correspondingly higher.
|
|
<p>
|
|
|
|
Unfortunately, these caches do not speed the process of storing a new
|
|
block to Venti. The server must check that the block is not a
|
|
duplicate by examining the index. If the block is not contained on
|
|
the server, it will obviously not be in any cache. Since the
|
|
fingerprint of the block contains no internal structure, the location
|
|
of a fingerprint in the index is essentially random. Furthermore, the
|
|
archival nature of Venti means the entire index will not fit in memory
|
|
because of the large number of blocks. Combining these factors means
|
|
that the write performance of Venti will be limited to the random IO
|
|
performance of the index disk, which for current technology is a few
|
|
hundred accesses per second. By striping the index across multiple
|
|
disks, however, we get a linear speedup. This requires a sufficient
|
|
number of concurrent accesses, which we assure by buffering the writes
|
|
before accessing the index.
|
|
<p>
|
|
|
|
The prototype Venti server is implemented for the Plan 9 operating
|
|
system in about 10,000 lines of C. The server runs on a dedicated dual
|
|
550Mhz Pentium III processor system with 2 Gbyte of memory and is
|
|
accessed over a 100Mbs Ethernet network. The data log is stored on a
|
|
500 Gbyte MaxTronic IDE Raid 5 Array and the index resides on a string
|
|
of 8 Seagate Cheetah 18XL 9 Gbyte SCSI drives.
|
|
<p>
|
|
|
|
<h1>6. Performance</h1>
|
|
<p>
|
|
|
|
Table 1 gives the preliminary performance results for read and write
|
|
operations in a variety of situations. For comparison, we include the
|
|
SCSI performance of the RAID array. Although the performance is still
|
|
several times slower than directly accessing the disk, we believe the
|
|
results are promising and will improve as the system matures.
|
|
<p>
|
|
Table 1. The performance of read and write operations in Mbytes/s for 8 Kbyte blocks.
|
|
<p>
|
|
<p>
|
|
<table align=center>
|
|
<tr>
|
|
<th></th>
|
|
<th width=150>sequential reads</th>
|
|
<th width=150>random reads</th>
|
|
<th width=150>virgin writes</th>
|
|
<th width=150>duplicate writes</th>
|
|
</tr>
|
|
<tr>
|
|
<td>uncached</td>
|
|
<td align=center>0.9</td>
|
|
<td align=center>0.4</td>
|
|
<td align=center>3.7</td>
|
|
<td align=center>5.6</td>
|
|
</tr>
|
|
<tr>
|
|
<td>index cache</td>
|
|
<td align=center>4.2</td>
|
|
<td align=center>0.7</td>
|
|
<td align=center>-</td>
|
|
<td align=center>6.2</td>
|
|
</tr>
|
|
<tr>
|
|
<td>block cache</td>
|
|
<td align=center>6.8</td>
|
|
<td align=center>-</td>
|
|
<td align=center>-</td>
|
|
<td align=center>6.5</td>
|
|
</tr>
|
|
<tr>
|
|
<td>raw raid</td>
|
|
<td align=center>14.8</td>
|
|
<td align=center>1.0</td>
|
|
<td align=center>12.4</td>
|
|
<td align=center>12.4</td>
|
|
</tr>
|
|
</table>
|
|
<p>
|
|
|
|
|
|
The uncached sequential read performance is particularly bad. The
|
|
problem is that these sequential reads require a random read of the
|
|
index. Without assistance from the client, the read operations are
|
|
not overlapped and do not benefit from the striping of the index. One
|
|
possible solution is a form of read-ahead. When reading a block from
|
|
the data log, it is feasible to also read several following blocks.
|
|
These extra blocks can be added to the caches without referencing the
|
|
index. If blocks are read in the same order they were written to the
|
|
log, the latency of uncached index lookups will be avoided. This
|
|
strategy should work well for streaming data such as multimedia files.
|
|
<p>
|
|
|
|
The basic assumption in Venti is that the growth in capacity of disks
|
|
combined with the removal of duplicate blocks and compression of their
|
|
contents enables a model in which it is not necessary to reclaim space
|
|
by deleting archival data. To demonstrate why we believe this model
|
|
is practical, we present some statistics derived from a decade's use
|
|
of the Plan 9 file system.
|
|
<p>
|
|
|
|
The computing environment in which we work includes two Plan 9 file
|
|
servers named bootes and emelie. Bootes was our primary file
|
|
repository from 1990 until 1997 at which point it was superseded by
|
|
emelie. Over the life of these two file servers there have been 522
|
|
user accounts of which between 50 and 100 were active at any given
|
|
time. The file servers have hosted numerous development projects and
|
|
also contain several large data sets including chess end games,
|
|
astronomical data, satellite imagery, and multimedia files.
|
|
<p>
|
|
|
|
Figure 6 depicts the size of the active file system as measured over
|
|
time by du, the space consumed on the jukebox, and the size of the
|
|
jukebox's data if it were to be stored on Venti. The ratio of the
|
|
size of the archival data and the active file system is also given.
|
|
As can be seen, even without using Venti, the storage required to
|
|
implement the daily snapshots in Plan 9 is relatively modest, a result
|
|
of the block level incremental approach to generating a snapshot.
|
|
When the archival data is stored to Venti the cost of retaining the
|
|
snapshots is reduced significantly. In the case of the emelie file
|
|
system, the size on Venti is only slightly larger than the active file
|
|
system; the cost of retaining the daily snapshots is almost zero.
|
|
Note that the amount of storage that Venti uses for the snapshots
|
|
would be the same even if more conventional methods were used to back
|
|
up the file system. The Plan 9 approach to snapshots is not a
|
|
necessity, since Venti will remove duplicate blocks.
|
|
<p>
|
|
<img src="bootes.gif" ALT="storage sizes for bootes">
|
|
<img src="emelie.gif" ALT="storage sizes for emelie">
|
|
<img src="bootes2.gif" ALT="ratio of sizes for bootes">
|
|
<img src="emelie2.gif" ALT="ratio of sizes for emelie">
|
|
<p>
|
|
Figure 6. Graphs of the various sizes of two Plan 9 file servers.
|
|
<p>
|
|
|
|
When stored on Venti, the size of the jukebox data is reduced by three
|
|
factors: elimination of duplicate blocks, elimination of block
|
|
fragmentation, and compression of the block contents. Table 2
|
|
presents the percent reduction for each of these factors. Note,
|
|
bootes uses a 6 Kbyte block size while emelie uses 16 Kbyte, so the
|
|
effect of removing fragmentation is more significant on emelie.
|
|
<p>
|
|
|
|
The 10 year history of the two Plan 9 file servers may be of interest
|
|
to other researchers. We have made available per-block information
|
|
including a hash of each block's contents, all the block pointers, and
|
|
most of the directory information. The traces do not include the
|
|
actual contents of files nor the file names. There is sufficient
|
|
information to reconstruct the structure of the file system and to
|
|
track the daily changes to this structure over time. The traces are
|
|
available at http://www.cs.bell-labs.com/~seanq/p9trace.html.
|
|
<p>
|
|
|
|
Table 2. The percentage reduction in the size of data stored on
|
|
Venti.
|
|
<p>
|
|
<table align=center>
|
|
<tr>
|
|
<th></th>
|
|
<th width=150>bootes</th>
|
|
<th width=150>emelie</th>
|
|
</tr>
|
|
<tr>
|
|
<td>Elimination of duplicates</td>
|
|
<td align=center>27.8%</td>
|
|
<td align=center>31.3%</td>
|
|
</tr>
|
|
<tr>
|
|
<td>Elimination of fragments</td>
|
|
<td align=center>10.2%</td>
|
|
<td align=center>25.4%</td>
|
|
</tr>
|
|
<tr>
|
|
<td>Data Compression</td>
|
|
<td align=center>33.8%</td>
|
|
<td align=center>54.1%</td>
|
|
</tr>
|
|
<tr>
|
|
<td>Total Reduction</td>
|
|
<td align=center>59.7%</td>
|
|
<td align=center>76.5%</td>
|
|
</tr>
|
|
</table>
|
|
<p>
|
|
|
|
|
|
<p>
|
|
|
|
<h1>7. Reliability and Recovery</h1>
|
|
<p>
|
|
|
|
In concert with the development of the Venti prototype, we have built
|
|
a collection of tools for integrity checking and error recovery.
|
|
Example uses of these tools include: verifying the structure of an
|
|
arena, checking there is an index entry for every block in the data
|
|
log and vice versa, rebuilding the index from the data log, and
|
|
copying an arena to removable media. These tools directly access the
|
|
storage devices containing the data log and index and are executed on
|
|
the server.
|
|
<p>
|
|
|
|
The directory structure at the end of each area enhances the
|
|
efficiency of many integrity and recovery operations, since it is
|
|
typically two orders of magnitude smaller than the arena, yet contains
|
|
most of the needed information. The index checking utility, for
|
|
example, is implemented as a disk based sort of all the arena
|
|
directories, followed by a comparison between this sorted list and the
|
|
index. Our prototype currently contains approximately 150 million
|
|
blocks using 250 Gbytes of storage. An index check takes 2.2 hours,
|
|
which is significantly less than the 6 hours it takes to read all the
|
|
log data.
|
|
<p>
|
|
|
|
An additional integrity and recovery feature is the association of a
|
|
type identifier with every block. This 8 bit identifier is included
|
|
with all client read and write operations and has the effect of
|
|
partitioning the server into multiple independent domains. The idea
|
|
is that type indicates the interpretation of the data contained in the
|
|
block. A client can use this feature, for example, to indicate that a
|
|
block is the root node for a tree of blocks. Currently, the data
|
|
format associated with a type is left entirely to the client; the
|
|
server does not interpret the type other that to use it in conjunction
|
|
with a fingerprint as the key with which to index a block.
|
|
<p>
|
|
|
|
One use of the type identifier is to assist the administrator in
|
|
locating blocks for which a user has accidentally lost the
|
|
fingerprint. Using a tool on the server, the data log can be scanned
|
|
for blocks that match specified criteria, including the block type,
|
|
the write time, and user identifier. The type makes it relatively
|
|
simple to locate forgotten root blocks. Future uses for the type
|
|
might include the ability for the server to determine the location of
|
|
fingerprints within a block, enabling the server to traverse the data
|
|
structures that have been stored.
|
|
<p>
|
|
|
|
By storing the data log on a RAID 5 disk array, our server is
|
|
protected against single drive failures. Obviously, there are many
|
|
scenarios where this is not sufficient: multiple drives may fail,
|
|
there may be a fire in the machine room, the RAID firmware may contain
|
|
bugs, or the device may be stolen.
|
|
<p>
|
|
|
|
Additional protection could be obtained by using one or more off-site
|
|
mirrors for the server. We have not yet implemented this strategy,
|
|
but the architecture of Venti makes this relatively simple. A
|
|
background process on the server copies new blocks from the data log
|
|
to the mirrors. This copying can be achieved using the Venti
|
|
protocol; the server is simply another client to the mirror.
|
|
<p>
|
|
|
|
Even mirroring may not be sufficient. The implementation of Venti may
|
|
contain bugs that can be exploited to compromise the server. An
|
|
automated attack may delete data on many servers simultaneously.
|
|
Storage devices that provide low level enforcement of a write-once
|
|
policy would provide protection for such an attack. Write-once
|
|
read-many optical jukeboxes often provide such protection, but this is
|
|
not yet common for magnetic disk based storage systems. We have thus
|
|
resorted to copying the sealed arenas onto removable media.
|
|
<p>
|
|
|
|
<h1>8. Related Work</h1>
|
|
<p>
|
|
|
|
The Stanford Archival Vault [2] is a prototype archival repository
|
|
intended for digital libraries. The archive consists of a write-once
|
|
log of digital objects (files) and several auxiliary indexes for
|
|
locating objects within the log. Objects are identified by the hash
|
|
of their contents using a cyclic redundancy check (CRC). Unlike
|
|
Venti, this system has no way to share data between objects that are
|
|
partially the same, or to build up complex data structures such as a
|
|
file system hierarchy. Rather, the archive consists of a collection
|
|
of separate objects with a limited ability to group objects into sets.
|
|
<p>
|
|
|
|
On Venti, blocks are organized into more complex data structures by
|
|
creating hash-trees, an idea originally proposed by Merkle [11] for an
|
|
efficient digital signature scheme.
|
|
<p>
|
|
|
|
The approach to block retrieval in the Read-Only Secure File System
|
|
(SFSRO) [3] is comparable to Venti. Blocks are identified by the Sha1
|
|
hash of their contents and this idea is applied recursively to build
|
|
up more complex structures. The focus of this system is security, not
|
|
archival storage. An administrator creates a digitally signed
|
|
database offline. The database contains a public read-only file
|
|
system that can be published on multiple servers and efficiently and
|
|
securely accessed by clients. SFSRO outperforms traditional methods
|
|
for providing data integrity between a client and a file server,
|
|
demonstrating an attractive property of hash-based addressing.
|
|
<p>
|
|
|
|
Given their similarities, it would be simple to implement SFSRO on top
|
|
of Venti. The goal of Venti is to provide a flexible location for
|
|
archival storage and SFSRO is a good example of an application that
|
|
could use this capability. In fact, using Venti would provide a
|
|
trivial solution to SFSRO's problem with stale NFS handles since data
|
|
is never deleted from Venti and thus a stale handle will never be
|
|
encountered.
|
|
<p>
|
|
|
|
Content-Derived Names [6] are another example of naming objects based
|
|
on a secure hash of its contents. This work addresses the issue of
|
|
naming and managing the various binary software components, in
|
|
particular shared libraries, that make up an application.
|
|
<p>
|
|
|
|
The philosophy of the Elephant file system [18] is similar to Venti;
|
|
large, cheap disks make it feasible to retain many versions of data.
|
|
A feature of the Elephant system is the ability to specify a variety
|
|
of data retention policies, which can be applied to individual files
|
|
or directories. These policies attempt to strike a balance between
|
|
the costs and benefits of storing every version of a file. In
|
|
contrast, Venti focuses on the problem of how to store information
|
|
after deciding that it should be retained in perpetuity. A system
|
|
such as the Elephant file system could incorporate Venti as the
|
|
storage device for the permanent "landmark" versions of files, much as
|
|
the Plan 9 file system will use Venti to archive snapshots.
|
|
<p>
|
|
|
|
Self-Securing Storage [19] retains all versions of file system data in
|
|
order to provide diagnosis and recovery from security breaches. The
|
|
system is implemented as a self-contained network service that exports
|
|
an object-based disk interface, providing protection from compromise
|
|
of the client operating system. Old data is retained for a window of
|
|
time and then deleted to reclaim storage.
|
|
<p>
|
|
|
|
Venti provides many of the features of self-securing storage: the
|
|
server is self-contained and accessed through a simple low-level
|
|
protocol, malicious users cannot corrupt or delete existing data on
|
|
the server, and old versions of data are available for inspection. It
|
|
is unlikely that a system would write every file system operation to
|
|
Venti since storage is never reclaimed, but not deleting data removes
|
|
the constraint that an intrusion must be detected within a limited
|
|
window of time. A hybrid approach might retain every version for some
|
|
time and some versions for all time. Venti could provide the
|
|
long-term storage for such a hybrid.
|
|
<p>
|
|
|
|
<h1>9. Future Work</h1>
|
|
<p>
|
|
|
|
Venti could be distributed across multiple machines; the approach of
|
|
identifying data by a hash of its contents simplifies such an
|
|
extension. For example, the IO performance could be improved by
|
|
replicating the server and using a simple load balancing algorithm.
|
|
When storing or retrieving a block, clients direct the operation to a
|
|
server based on a few bits of the fingerprint. Such load balancing
|
|
could even be hidden from the client application by interposing a
|
|
proxy server that performs this operation on behalf of the client.
|
|
<p>
|
|
|
|
Today, Venti provides little security. After authenticating to the
|
|
server, clients can read any block for which they know the
|
|
fingerprint. A fingerprint does act as a capability since the space
|
|
of fingerprints is large and the Venti protocol does not include a
|
|
means of enumerating the blocks on the server. However, this
|
|
protection is weak as a single root fingerprint enables access to an
|
|
entire file tree and once a fingerprint is known, there is no way to
|
|
restrict access to a particular user. We are exploring ways of
|
|
providing better access control.
|
|
<p>
|
|
|
|
To date, the structures we have used for storing data on Venti break
|
|
files into a series of fixed sized blocks. Identical blocks are
|
|
consolidated on Venti, but this consolidation will not occur if the
|
|
data is shifted within the file or an application uses a different
|
|
block size. This limitation can be overcome using an adaptation of
|
|
Manber's algorithm for finding similarities in files [9]. The idea is
|
|
to break files into variable sized blocks based on the identification
|
|
of anchor or break points, increasing the occurrence of duplicate
|
|
blocks [12]. Such a strategy can be implemented in client
|
|
applications with no change to the Venti server.
|
|
<p>
|
|
|
|
A more detailed analysis of the decade of daily snapshots of the Plan
|
|
9 file systems might be interesting. The trace data we have made
|
|
publicly available contains approximately the same information used
|
|
for other studies of long term file activity [4].
|
|
<p>
|
|
|
|
<h1>10. Conclusion</h1>
|
|
<p>
|
|
|
|
The approach of identifying a block by the Sha1 hash of its contents
|
|
is well suited to archival storage. The write-once model and the
|
|
ability to coalesce duplicate copies of a block makes Venti a useful
|
|
building block for a number of interesting storage applications.
|
|
<p>
|
|
|
|
The large capacity of magnetic disks allows archival data to be
|
|
retained and available on-line with performance that is comparable to
|
|
conventional disks. Stored on our prototype server is over a decade
|
|
of daily snapshots of two major departmental file servers. These
|
|
snapshots are stored in a little over 200 Gbytes of disk space.
|
|
Today, 100 Gbytes drives cost less than $300 and IDE RAID controllers
|
|
are included on many motherboards. A scaled down version of our
|
|
server could provide archival storage for a home user at an attractive
|
|
price. Tomorrow, when terabyte disks can be had for the same price,
|
|
it seems unlikely that archival data will be deleted to reclaim space.
|
|
Venti provides an attractive approach to storing that data.
|
|
<p>
|
|
|
|
<h1>11. Acknowledgments</h1>
|
|
<p>
|
|
|
|
This paper was improved by comments and suggestions from Peter Bosch,
|
|
Eric Grosse, Lorenz Huelsbergen, Rob Pike, Ross Quinlan, and Cliff
|
|
Young and six anonymous reviewers. The paper's shepherd was Ethan L.
|
|
Miller. We thank them all for their help.
|
|
<p>
|
|
|
|
<h1>12. References</h1>
|
|
<p>
|
|
|
|
[1] Ann Chervenak, Vivekenand Vellanki, and Zachary Kurmas.
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|
Protecting file systems: A survey of backup techniques. In
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|
Proceedings Joint NASA and IEEE Mass Storage Conference, March 1998.
|
|
<p>
|
|
|
|
[2] Arturo Crespo and Hector Garcia-Molina. Archival storage for
|
|
digital libraries. In Proceedings of the 3rd ACM International
|
|
Conference on Digital Libraries, 1998.
|
|
<p>
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|
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|
[3] Kevin Fu, Frans Kaashoek, and David Mazières. Fast and secure
|
|
distributed read-only file system. In Proceedings of the 4th
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|
Symposium on Operating Systems Design and Implementation, 2000.
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<p>
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|
[4] Timothy J. Gibson, Ethan L. Miller, and Darrell D. E. Long.
|
|
Long-term file activity and inter-reference patterns. In Proceedings,
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|
24th International Conference on Technology Management and Performance
|
|
Evaluation of Enterprise-Wide Information Systems, Computer
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|
Measurement Group, December 1998.
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<p>
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[5] Dave Hitz, James Lau, and Michael Malcolm, File system design for
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|
an NFS file server appliance, In Proceedings of the Winter 1994 USENIX
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|
Conference, San Francisco, CA, January 1994.
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<p>
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[6] J. K. Hollingsworth and E. L. Miller. Using content-derived names
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|
for configuration management. In Proceeding of the 1997 ACM Symposium
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|
on Software Reusability, Boston, May 1997.
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<p>
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[7] John Howard, Michael Kazar, Sherri Menees, David Nichols, Mahadev
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Satyanarayanan, Robert Sidebotham, and Michael West. Scale and
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|
performance in a distributed file system. ACM Transactions on
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Computer Systems, 6(1):51-81, February 1988.
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<p>
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[8] Norman C. Hutchinson, Stephen Manley, Mike Federwisch, Guy Harris,
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|
Dave Hitz, Steven Kleiman, and Sean O'Malley. Logical vs. physical
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|
file system backup. In Proceedings of the 3rd USENIX Symposium on
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Operating Systems Design and Implementation (OSDI), 1999.
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<p>
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[9] Udi Manber. Finding similar files in a large file system. In
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|
Proceedings of the Winter 1994 USENIX Conference, San Francisco, CA,
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January 1994.
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<p>
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[10] Alfred J. Menezes, Paul C. van Oorschot, and Scott A. Vanstone.
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|
Handbook of Applied Cryptography. CRC Press, 1996.
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<p>
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[11] Ralph C. Merkle. Protocols for public-key cryptosystems. In
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Proceedings of the IEEE Symposium on Security and Privacy, pp.
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122-133, April 1980.
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<p>
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[12] Athicha Muthitacharoen, Benjie Chen, and David Mazières. A
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|
low-bandwidth network file system. In Proceedings of the 18th
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Symposium on Operating Systems Principles, October 2001.
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<p>
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[13] National Institute of Standards and Technology, FIPS 180-1.
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|
Secure Hash Standard. US Department of Commerce, April 1995.
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|
<p>
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|
[14] National Institute of Standards and Technology, Draft FIPS 180-2.
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|
Secure Hash Standard. US Department of Commerce, May 2001.
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|
<p>
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|
[15] Evi Nemeth, Garth Snyder, Scott Seebass, and Trent R. Hein. UNIX
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|
System Administration Handbook 3rd Edition, Prentice Hall, 2001.
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<p>
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|
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|
[16] Rob Pike, Dave Presotto, Sean Dorward, Bob Flandrena, Ken
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Thompson, Howard Trickey, and Phil Winterbottom. Plan 9 from Bell
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|
Labs, Computing Systems, Vol. 8, 3, pp. 221-254, Summer 1995.
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<p>
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|
[17] Sean Quinlan. A cache worm file system. Software-Practice and
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|
Experience, Vol 21, 12, pp 1289-1299, December 1991.
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<p>
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[18] Douglas S. Santry, Michael J. Feeley, Norman C. Hutchinson,
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Alistair C. Veitch, Ross W. Carton and Jacob Ofir. Deciding when to
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|
forget in the Elephant file system. In Proceedings of the 17th
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|
Symposium on Operating Systems Principles, December 12-15, 1999.
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<p>
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[19] John. D. Strunk, Garth R. Goodson, Michael L. Scheinholtz, Craig
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A.N. Soules, and Gregory R. Ganger. Self-securing storage: protecting
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data in compromised systems. In Proceedings of the 4th Symposium on
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Operating Systems Design and Implementation, October 2000.
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<p>
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[20] D. A. Thompson and J. S. Best. The future of magnetic data
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storage technology, IBM Journal of Research and Development, Vol 44,
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3, pp. 311-322, May 2000.
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<p>
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[21] J. Ziv and A. Lempel. A universal algorithm for sequential data
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compression, IEEE Trans. Inform. Theory, vol. IT-23, pp. 337-343,
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May 1977.
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