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INITIATION TIMING IN A MODEL FOR PARALLEL COMPUTATION.
MICHIGAN UNIV ANN ARBOR SYSTEMS ENGINEERING LAB
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This paper deals with a particular case of a model for parallel computeation as formulated by Karp and Miller. A parallel computation is viewed as a directed graph in which a node represents a sequence of operations to be performed upon data on the node input branches with the results of an operation being placed upon the output branches. An operation associated with a node n may initiate only if there is at least one data item on each input branch to n. Upon initiation, n removes one data item from each input branch and upon termination, places one data item on each output branch. A maximal computation rate periodic schedule is also given for the case that G is required to compute synchronously, i.e. at integer times. Finally, in the case of a synchronous computation graph G, an analysis is given of the so-called free running execution of G and this is found to yield the maximum computation rate of G.
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