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We can set up a pipeline that allows the three joins to be computed in parallel Suppose processor P1 is assigned the computation of temp1 r1 1 r2 , and P2 is assigned the computation of r3 1 temp1 As P1 computes tuples in r1 1 r2 , it makes these tuples available to processor P2 Thus, P2 has available to it some of the tuples in r1 1 r2 before P1 has nished its computation P2 can use those tuples that are available to begin computation of temp1 1 r3 , even before r1 1 r2 is fully computed by P1 Likewise, as P2 computes tuples in (r1 1 r2 ) 1 r3 , it makes these tuples available to P3 , which computes the join of these tuples with r4

The McGraw Hill Companies, 2001

SOLUTION We can solve this problem by using (97) First we nd R f 12 = Rf , R f = (12)(200 Ra ) = 2400 For the remaining

Pipelined parallelism is useful with a small number of processors, but does not scale up well First, pipeline chains generally do not attain suf cient length to provide a high degree of parallelism Second, it is not possible to pipeline relational operators that do not produce output until all inputs have been accessed, such as the set-difference operation Third, only marginal speedup is obtained for the frequent cases in which one operator s execution cost is much higher than are those of the others All things considered, when the degree of parallelism is high, pipelining is a less important source of parallelism than partitioning The real reason for using pipelining is that pipelined executions can avoid writing intermediate results to disk

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Operations in a query expression that do not depend on one another can be executed in parallel This form of parallelism is called independent parallelism Consider the join r1 1 r2 1 r3 1 r4 Clearly, we can compute temp1 r1 1 r2 in parallel with temp2 r3 1 r4 When these two computations complete, we compute temp1 1 temp2 To obtain further parallelism, we can pipeline the tuples in temp1 and temp2 into the computation of temp1 1 temp2 , which is itself carried out by a pipelined join (Section 13722) Like pipelined parallelism, independent parallelism does not provide a high degree of parallelism, and is less useful in a highly parallel system, although it is useful with a lower degree of parallelism

Query optimizers account in large measure for the success of relational technology Recall that a query optimizer takes a query and nds the cheapest execution plan among the many possible execution plans that give the same answer Query optimizers for parallel query evaluation are more complicated than query optimizers for sequential query evaluation First, the cost models are more complicated, since partitioning costs have to be accounted for, and issues such as skew and resource contention must be taken into account More important is the issue of how to parallelize a query Suppose that we have somehow chosen an expression (from among those equivalent to the query) to be used for evaluating the query The expression can be represented by an operator tree, as in Section 131 To evaluate an operator tree in a parallel system, we must make the following decisions: How to parallelize each operation, and how many processors to use for it What operations to pipeline across different processors, what operations to execute independently in parallel, and what operations to execute sequentially, one after the other

The McGraw Hill Companies, 2001

Summary

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