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基于Pi-演算的供应链节点企业行为的随机分析

Stochastic analysis of supply chain node enterprise behavior based on Pi-calculus

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【作者】 黄永涛王刚任秉银张浩云

【Author】 HUANG Yong-tao1,WANG Gang1,REN Bing-yin1,ZHANG Hao-yun2(1.School of Mechatronics Engineering,Harbin Institute of Technology,Harbin 150001,China; 2.Henan Tongli Cement Co.,Ltd.,Zhengzhou 450000,China)

【机构】 哈尔滨工业大学机电工程学院河南同力水泥股份有限公司

【摘要】 为解决节点企业行为的不确定影响供应链系统性能的问题,提出一种应用Pi-演算对供应链的节点企业行为进行随机分析的方法。利用交互图描述了节点企业行为的不确定性;通过建立交互图与Pi-演算的映射关系得到节点企业行为的Pi-演算形式规约,利用Pi-演算的操作语义规则构造出节点企业行为的状态转移图;将该状态转移图与一个齐次马尔科夫链对应起来;借助马尔科夫链中的相关理论来定量分析节点企业行为的随机性,发现各节点企业订单处理能力的强弱可以决定其对供应链上客户订单操作成功率的相对影响的大小。仿真实验表明,该方法能够评价出对供应链运作影响最大的节点企业,从而可以指导供应链运作效率的改善。

【Abstract】 To solve the impact of node enterprise behavior’s uncertainty on supply chain system’s performance,a stochastic analysis method for node enterprise behavior of supply chain by using Pi-calculus method was proposed.Interactive diagram was used to describe the uncertainty of node enterprise behavior.Through building the mapping relationship between interactive diagram and Pi-calculus,the Pi-calculus formal specification of node enterprise behavior was acquired.With the operational semantic rule of Pi-calculus,the state transition diagram of node enterprise behavior was formed,which was corresponded to a homogeneous Markov chain.The theory of Markov chain was applied to conduct quantitative analysis on randomness of node enterprise behavior.It was found that the relative impact of customer orders operation’s success rate in overall supply chain was determined by order processing capability of each node enterprise.The simulation experiments showed that the proposed method could evaluate the node enterprises with maximum impact on supply chain operations,thus guide improvement of supply chain’s operational efficiency.

【基金】 国家863计划资助项目(2007AA04Z146)~~
  • 【文献出处】 计算机集成制造系统 ,Computer Integrated Manufacturing Systems , 编辑部邮箱 ,2013年01期
  • 【分类号】O211.6;F274
  • 【被引频次】3
  • 【下载频次】230
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