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Properties of a Model for Parallel Computations: Determinacy, Termination, Queueing
Richard M. Karp; Rayamond E. Miller
1966
发表期刊SIAM Journal on Applied Mathematics
卷号14期号:6页码:1390-1411
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.
收录类别其他
合作性质其它
语种英语
内容类型期刊论文
URI标识http://ir.iscas.ac.cn/handle/311060/1294
专题中国科学院软件研究所
推荐引用方式
GB/T 7714
Richard M. Karp,Rayamond E. Miller. Properties of a Model for Parallel Computations: Determinacy, Termination, Queueing[J]. SIAM Journal on Applied Mathematics,1966,14(6):1390-1411.
APA Richard M. Karp,&Rayamond E. Miller.(1966).Properties of a Model for Parallel Computations: Determinacy, Termination, Queueing.SIAM Journal on Applied Mathematics,14(6),1390-1411.
MLA Richard M. Karp,et al."Properties of a Model for Parallel Computations: Determinacy, Termination, Queueing".SIAM Journal on Applied Mathematics 14.6(1966):1390-1411.
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