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    Unit 1

    Transactions

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    Transactions

    Transaction Concept

    Transaction State

    Concurrent Execution of Transactions

    Schedules

    Serializability

    Testing for Serializability Recoverability

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    Transaction Concept

    Transaction is collection of operations that form a single logicalunit of program execution.

    A transactionis a unitof program execution that accesses andpossibly updates various data items.

    E.g. transaction to transfer Rs.500 from account A to account B:

    1. read(A)

    2. A := A 500

    3. write(A)

    4. read(B)

    5. B:= B +500

    6. write(B)

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    Features of Transaction

    1. It is initiated by a user program written in DML orprogramming language ( SQL, C, C++).

    2. Transaction specifies all operations executedbetween the begin and end transaction.

    3. It uses two operations: read and write.

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    Operations of Transaction

    Read(X) : It transfers the data item Xfrom the database to a local buffer inmain memory.

    Write(X): It transfers the data item Xfrom the local buffer back to thedatabase.

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    ACID Properties

    Atomicity. Either all operations of the transaction are properly reflectedin the database or none are.

    Consistency. Execution of a transaction in isolation preserves the

    consistency of the database. Isolation. Although multiple transactions may execute concurrently,

    each transaction must be unaware of other concurrently executingtransactions. Intermediate transaction results must be hidden from otherconcurrently executed transactions.

    That is, for every pair of transactions Tiand Tj, it appears to Tithateither Tj, finished execution before Tistarted, or Tjstarted executionafter Tifinished.

    Durability. After a transaction completes successfully, the changes ithas made to the database persist, even if there are system failures.

    A transaction is a unit of program execution that accesses and possibly

    updates various data items.To preserve the integrity of data the databasesystem must ensure:

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    P i f T i i h E l f F d

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    Properties of Transaction with Example of FundTransfer

    Transaction to transfer Rs.500 from account A to account B:

    1. read(A)2. A := A 500

    3. write(A)

    4. read(B)

    5. B:= B +500

    6. write(B)

    Atomicity requirement

    if the transaction fails after step 3 and before step 6, money will be lost

    leading to an inconsistent database state

    Failure could be due to software or hardware

    the system should ensure that updates of a partially executed transaction

    are not reflected in the database Durability requirement once the user has been notified that the transaction

    has completed (i.e., the transfer of the Rs. 500 has taken place), the updatesto the database by the transaction must persist even if there are software orhardware failures.

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    Example of Fund Transfer (Cont.)

    Transaction to transfer Rs.500 from account A to account B:1. read(A)

    2. A := A 500

    3. write(A)

    4. read(B)

    5. B:= B +500

    6. write(B)

    Consistency requirement in above example:

    the sum of A and B is unchanged by the execution of the transaction

    A transaction must see a consistent database.

    During transaction execution the database may be temporarily inconsistent.

    When the transaction completes successfully the database must be consistent

    Erroneous transaction logic can lead to inconsistency

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    Example of Fund Transfer (Cont.)

    Isolation requirement if between steps 3 and 6, another

    transaction T2 is allowed to access the partially updated database, itwill see an inconsistent database (the sum A + Bwill be less than itshould be).

    T1 T2

    1. read(A)

    2. A := A 500

    3. write(A) read(A), read(B), print(A+B)

    4. read(B)

    5. B:= B +500

    6. write(B

    Isolation can be ensured trivially by running transactions serially

    that is, one after the other.

    However, executing multiple transactions concurrently has significantbenefits, as we will see later.

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    Transaction State

    Activethe initial state; the transaction stays in this state while it is

    executing Partially committedafter the final statement has been executed.

    Failed -- after the discovery that normal execution can no longerproceed.

    Aborted after the transaction has been rolled back and the

    database restored to its state prior to the start of the transaction.Two options after it has been aborted:

    restart the transaction

    can be done only if no internal logical error

    kill the transaction

    Committed after successful completion.

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    Transaction State (Cont.)

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    I l t ti f At i it d

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    Implementation of Atomicity andDurability

    The recovery-management component of a database systemimplements the support for atomicity and durability.

    E.g. the shadow-databasescheme:

    all updates are made on a shadow copyof the database

    db_pointer is made to point to the updated shadow copy after

    the transaction reaches partial commit and

    all updated pages have been flushed to disk.

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    Implementation of Atomicity and Durability(Cont.)

    db_pointer always points to the current consistent copy of the database. In case transaction fails, old consistent copy pointed to by db_pointer

    can be used, and the shadow copy can be deleted.

    The shadow-database scheme:

    Assumes that only one transaction is active at a time.

    Assumes disks do not fail

    Useful for text editors, but

    extremely inefficient for large databases (why?)

    Variant called shadow paging reduces copying of data, but isstill not practical for large databases

    Does not handle concurrent transactions

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    Concurrent Execution of Transactions

    Multiple transactions are allowed to run concurrently in the system.

    Advantages are: increased processor and disk utilization, leading to better

    transaction throughput

    E.g. one transaction can be using the CPU while another isreading from or writing to the disk

    reduced average response time for transactions: shorttransactions need not wait behind long ones.

    Concurrency control schemes mechanisms to achieve isolation

    that is, to control the interaction among the concurrenttransactions in order to prevent them from destroying the

    consistency of the database Details will be studied later in unit 2.

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    Schedules

    Schedule a sequences of instructions that specify the chronological

    order in which instructions of concurrent transactions are executed.

    a schedule for a set of transactions must consist of all instructionsof those transactions

    must preserve the order in which the instructions appear in each

    individual transaction.

    A transaction that successfully completes its execution will have acommit instructions as the last statement

    by default transaction assumed to execute commit instruction as its

    last step

    A transaction that fails to successfully complete its execution will havean abort instruction as the last statement

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    Schedule 1

    Let T1 transfer $50 from A to B, and T2 transfer 10% of the

    balance from A to B. A serial schedule in which T1 is followed by T2:

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    Schedule 2

    A serial schedule where T2 is followed by T1

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    Schedule 3

    Let T1 and T2 be the transactions defined previously. The

    following schedule is not a serial schedule, but it is equivalentto Schedule 1.

    In Schedules 1, 2 and 3, the sum A + B is preserved.

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    Schedule 4

    The following concurrent schedule does not preserve the

    value of (A + B).

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    Serializability

    Basic Assumption Each transaction preserves database

    consistency. Thus serial execution of a set of transactions preserves database

    consistency.

    A (possibly concurrent) schedule is serializable if it is equivalent to aserial schedule. Different forms of schedule equivalence give rise to

    the notions of:1. conflict serializability

    2. view serializability

    Simplified view of transactions

    We ignore operations other than read and write instructions

    We assume that transactions may perform arbitrary computationson data in local buffers in between reads and writes.

    Our simplified schedules consist of only read and writeinstructions.

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    Conflicting Instructions

    Instructions liand ljof transactions Tiand Tj

    respectively, conflict if and only if there exists someitem Qaccessed by both liand lj, and at least one ofthese instructions write(Q).

    1. li= read(Q), lj=read(Q). liand ljdont conflict.

    2. li= read(Q), lj=write(Q). They conflict.3. li= write(Q), lj=read(Q). They conflict4. li= write(Q), lj=write(Q). They conflict

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    Conflict Serializability

    If a schedule Scan be transformed into aschedule Sby a series of swaps of non-conflicting instructions, we say that Sand Sare conflict equivalent.

    We say that a schedule Sis conflictserializable if it is conflict equivalent to a

    serial schedule

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    Conflict Serializability (Cont.)

    Schedule 3 can be transformed into Schedule 6, a serial

    schedule where T2 follows T1, by series of swaps of non-conflicting instructions.

    Therefore Schedule 3 is conflict serializable.

    Schedule 3Schedule 6

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    Conflict Serializability (Cont.)

    Example of a schedule that is not conflict serializable:

    We are unable to swap instructions in the above schedule to obtaineither the serial schedule < T3, T4 >, or the serial schedule < T4, T3 >.

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    View Serializability

    Let Sand Sbe two schedules with the same set of transactions. S

    and Sare view equivalentif the following three conditions are met,for each data item Q,

    1. If in schedule S, transaction Tireads the initial value of Q, then inschedule Salso transaction Ti must read the initial value of Q.

    2. If in schedule S transaction Tiexecutes read(Q), and that value

    was produced by transaction Tj (if any), then in scheduleS

    alsotransaction Timust read the value of Qthat was produced by thesame write(Q) operation of transaction Tj.

    3. The transaction (if any) that performs the final write(Q) operationin schedule Smust also perform the finalwrite(Q) operation inschedule S.

    As can be seen, view equivalence is also based purely on reads andwrites alone.

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    View Serializability (Cont.)

    A schedule Sis view serializableif it is view equivalent to a serial

    schedule. Every conflict serializable schedule is also view serializable.

    Below is a schedule which is view-serializable but notconflictserializable.

    What serial schedule is above equivalent to?

    Every view serializable schedule that is not conflict serializable hasblind writes.

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    Other Notions of Serializability

    The schedule below produces same outcome as the serial

    schedule < T1,T5 >, yet is not conflict equivalent or viewequivalent to it.

    Determining such equivalence requires analysis of operationsother than read and write.

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    Testing for Serializability

    Consider some schedule of a set of transactions T1, T2, ..., Tn

    Precedence graph a direct graph where the vertices arethe transactions (names).

    We draw an arc from Tito Tjif the two transaction conflict,and Tiaccessed the data item on which the conflict aroseearlier.

    We may label the arc by the item that was accessed. Example 1

    x

    y

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    Example Schedule (Schedule A) + Precedence Graph

    T1 T2 T3 T4 T5

    read(X)

    read(Y)

    read(Z)

    read(V)

    read(W)

    read(W)

    read(Y)

    write(Y)

    write(Z)

    read(U)

    read(Y)

    write(Y)

    read(Z)

    write(Z)

    read(U)

    write(U)

    T3T4

    T1 T2

    T5

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    Test for Conflict Serializability

    A schedule is conflict serializable if and only

    if its precedence graph is acyclic. Cycle-detection algorithms exist which take

    order n2 time, where nis the number ofvertices in the graph.

    (Better algorithms take order n+ ewhere eis the number of edges.)

    If precedence graph is acyclic, theserializability order can be obtained by atopological sortingof the graph.

    This is a linear order consistent with thepartial order of the graph.

    For example, a serializability order forSchedule A would beT5T1T3T2T4

    Are there others?

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    Testing for View Serializability

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    Test for View Serializability

    The precedence graph test for conflict serializability cannot be used

    directly to test for view serializability. Extension to test for view serializability has cost exponential in the

    size of the precedence graph.

    The problem of checking if a schedule is view serializable falls in theclass of NP-complete problems.

    Thus existence of an efficient algorithm is extremelyunlikely. However practical algorithms that just check some sufficient

    conditions for view serializability can still be used.

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    Recoverability

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    Recoverability

    Recoverableschedule if a transaction Tjreads a data itempreviously written by a transaction Ti, then the commit operation of Tiappears before the commit operation of Tj.

    The following schedule (Schedule 11) is not recoverable if T9commitsimmediately after the read

    If T8should abort, T9 would have read (and possibly shown to the user)an inconsistent database state. Hence, database must ensure thatschedules are recoverable.

    Need to address the effect of transaction failures on concurrently

    running transactions.

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    Cascading Rollbacks

    Cascading rollback a single transaction failure leads to a

    series of transaction rollbacks. Consider the following schedulewhere none of the transactions has yet committed (so theschedule is recoverable)

    If T10 fails, T11 and T12 must also be rolled back. Can lead to the undoing of a significant amount of work

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    Cascadeless Schedules

    Cascadelessschedules cascading rollbacks cannot occur; for

    each pair of transactions Tiand Tjsuch that Tj reads a data itempreviously written by Ti, the commit operation of Ti appears before theread operation of Tj.

    Every cascadeless schedule is also recoverable

    It is desirable to restrict the schedules to those that are cascadeless

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