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有限型多阶段决策问题的并行算法
引用本文:郑慧娆,樊戎,费浦生. 有限型多阶段决策问题的并行算法[J]. 武汉大学学报(理学版), 1995, 0(1)
作者姓名:郑慧娆  樊戎  费浦生
作者单位:武汉大学数学系
基金项目:国家攀登项目,国家自然科学基金
摘    要:讨论了在MIMD并行系统上,基于嘉量原理的摹矩阵连摹乘积求多阶段有向图最优路的并行算法.给出了选择顺推方式或逆推方式计算连摹乘的一个计算过程,提出了一个分派到各台处理机的任务基本均衡的p一分划算法,并详细讨论了并行计算的实现,给出了数值试验实例.

关 键 词:多阶段决策,嘉量原理,摹矩阵,连摹乘井行计算,p-分划算法

A PARALLEL ALGORITHM TO THE MULTISTAGE DECISION PROBLEM OF FINITE TYPE
Zheng Huirao,Fan Rong,Fei Pusheng. A PARALLEL ALGORITHM TO THE MULTISTAGE DECISION PROBLEM OF FINITE TYPE[J]. JOurnal of Wuhan University:Natural Science Edition, 1995, 0(1)
Authors:Zheng Huirao  Fan Rong  Fei Pusheng
Abstract:in the paper we discuss a parallel algorithm to the optimum paths in a multistage directed graph based on the Jar-metric prineiple to compute the modi-matrix chain products. We suggest a procedure of choosing the forward process or the backward process to yield modi-matrix chain products,put forward a p-partitioning algorithm to make the assignment of tasks to every processor achieve load balancing as much as possible,discuss the parallel implementation in detail and show some numerical experiments.
Keywords:multistage decision   Jar-metric principle   modi-matrix   parallel computationof modi-matrix chain products  p-partitioning algorithm  
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