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马尔可夫骨架PERT网络的最长路径

The Longest Path of Markov Skeleton PERT Networks
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摘要 本文利用马尔可夫骨架过程理论研究PERT网络模型,其中网络各弧线的长度是相互独立的随机变量。文中构造了一个马尔可夫骨架过程,利用其向后方程求解随机网络最长路径长度的分布函数。 In this paper, we use the Markov skeleton processes to study the PERT networks,where the activity durations are mutually independent random variables. A Markov skeleton process is constructed, and we apply its backward equation to solving the distribution function of the longest path.
作者 侯振挺 张玄
出处 《数学理论与应用》 2008年第2期126-128,共3页 Mathematical Theory and Applications
关键词 马尔可夫骨架过程 向后方程 PERT网络 Markov skeleton processes bacwar equation PET Networks
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参考文献7

  • 1周尧,侯振挺,薄远超.工程管理的马尔可夫骨架过程建模[J].数学理论与应用,2007,27(3):25-27. 被引量:3
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二级参考文献6

  • 1A.Azaron,H.Katagiri,M.Sakawa,K.Kato,and A.Memariani.A multi-objective resource allocation problem in PERT networks[].European Journal of Operational Research.2006
  • 2A.Azaron,R.Tavakkoli-Moghddam.A multi-objective resource allocation problem in dynamic PERT networks[].Journal of Applied Mathematics.2006
  • 3A.Azaron,H.Katagiri,K.Kato,and M.Sakawa.Longest path analysis in network of queues:dyanamic scheduling problems[].European Journal of Operational Research.2006
  • 4Zhenting Hou,and Guoxin Liu.Markov Skeleton Processes and Their Applications[]..2005
  • 5Charnes, A.,Cooper, W.W.,and Thompson, G.L.Critical path analysis via chance constrained and stochastic programming[].Operational Research.1964
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