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The concurrency-control schemes discussed thus far ensure serializability by either delaying an operation or aborting the transaction that issued the operation For example, a read operation may be delayed because the appropriate value has not been written yet; or it may be rejected (that is, the issuing transaction must be aborted) because the value that it was supposed to read has already been overwritten These dif culties could be avoided if old copies of each data item were kept in a system In multiversion concurrency control schemes, each write(Q) operation creates a new version of Q When a transaction issues a read(Q) operation, the concurrencycontrol manager selects one of the versions of Q to be read The concurrency-control scheme must ensure that the version to be read is selected in a manner that ensures

The McGraw Hill Companies, 2001

serializability It is also crucial, for performance reasons, that a transaction be able to determine easily and quickly which version of the data item should be read

In the sixteenth century mathematicians widened the scope of equations they could solve by introducing the notion of the square root of 1 Within the context of mathematics and physics, the square root of 1 is denoted by i = 1 The symbol i is used because numbers of this type are sometimes known as imaginary However, in electrical engineering it is traditional to denote the square root of 1 by j = 1 (71)

.

.

The most common transaction ordering technique used by multiversion schemes is timestamping With each transaction Ti in the system, we associate a unique static timestamp, denoted by TS(Ti ) The database system assigns this timestamp before the transaction starts execution, as described in Section 162 With each data item Q, a sequence of versions <Q1 , Q2 , , Qm > is associated Each version Qk contains three data elds: Content is the value of version Qk W-timestamp(Qk ) is the timestamp of the transaction that created version Qk R-timestamp(Qk ) is the largest timestamp of any transaction that successfully read version Qk A transaction say, Ti creates a new version Qk of data item Q by issuing a write(Q) operation The content eld of the version holds the value written by Ti The system initializes the W-timestamp and R-timestamp to TS(Ti ) It updates the R-timestamp value of Qk whenever a transaction Tj reads the content of Qk , and R-timestamp(Qk ) < TS(Tj ) The multiversion timestamp-ordering scheme presented next ensures serializability The scheme operates as follows Suppose that transaction Ti issues a read(Q) or write(Q) operation Let Qk denote the version of Q whose write timestamp is the largest write timestamp less than or equal to TS(Ti ) 1 If transaction Ti issues a read(Q), then the value returned is the content of version Qk 2 If transaction Ti issues write(Q), and if TS(Ti ) < R-timestamp(Qk ), then the system rolls back transaction Ti On the other hand, if TS(Ti ) = W-timestamp(Qk ), the system overwrites the contents of Qk ; otherwise it creates a new version of Q The justi cation for rule 1 is clear A transaction reads the most recent version that comes before it in time The second rule forces a transaction to abort if it is too late in doing a write More precisely, if Ti attempts to write a version that some other transaction would have read, then we cannot allow that write to succeed Versions that are no longer needed are removed according to the following rule Suppose that there are two versions, Qk and Qj , of a data item, and that both versions have a W-timestamp less than the timestamp of the oldest transaction in the system Then, the older of the two versions Qk and Qj will not be used again, and can be deleted The multiversion timestamp-ordering scheme has the desirable property that a read request never fails and is never made to wait In typical database systems, where.

The McGraw Hill Companies, 2001

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