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题名:
Properties of a Model for Parallel Computations: Determinacy, Termination, Queueing
作者: Richard M. Karp ; Rayamond E. Miller
刊名: SIAM Journal on Applied Mathematics
发表日期: 1966
卷: 14, 期:6, 页:1390-1411
收录类别: 其他
合作性质: 其它
英文摘要: This paper gives a graph-theoretic model for the description and analysis of parallel computations. Within the model, computation steps correspond to nodes of a graph, and dependency between computation steps is represented by branches with which queues of data are associated. First, it is shown that each such computation graph$G$represents a unique computation, determined independently of operation times. Next, methods of determining whether such a computation terminates and of finding the number of performances of each computation step are developed. The maximal strongly connected subgraphs of $G$ and the loops within these subgraphs play aooutnal role in this analysis. For example, use is made of the result that either every computation step within a strongly connected snbgroph of $G$ is performed an infinite number of times, or none is. Finally, necessary and sufficient conditions for the lengths of data queues to remain bounded are derived.
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.iscas.ac.cn/handle/311060/1294
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Richard M. Karp,Rayamond E. Miller. Properties of a Model for Parallel Computations: Determinacy, Termination, Queueing[J]. SIAM Journal on Applied Mathematics,1966-01-01,14(6):1390-1411.
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