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同输入M/M/∞排队群的联合队长过程 被引量：1

The Joint Queue Length for Set of M/M/∞ Queues Driven by the Common Arrival Process
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摘要 本文提出一个偏微分方程方法,用这一方法研究同输入M/M/∞排队群中的联合队长分布。在任意初始条件下,给出了瞬时联合队长分布的多元母函数,也讨论了稳态队长的联合分布及各排队系统之间的相关性。 In this paper, we give the method of partial differential equation, by which we study the joint queue length distributin for set of M/M/∞ queues driven by the common arrival process. We get the multivariate generating function for instantaneous joint queue length distribution under any initial condition, and discuss the joint distribution for steady-state queue length and the related property among queueing systems.
作者 徐秀丽 刘名辛 马占友 田乃硕
机构地区 燕山大学理学院
出处 《运筹与管理》 CSCD 2005年第1期1-7,共7页 Operations Research and Management Science
基金 国家自然科学基金资助项目(10271102)
关键词 运筹学 联合队长分布 多元母函数 偏微分方程 operations research joint queue length distribution multivariate generating function partial differential equation
分类号 O226 [理学—运筹学与控制论]
  • 相关文献

参考文献8

  • 1Song J. On the Order Fill Rate of a Multi-item Base-stock Inventory System[J]. Research, 1998,46:831-845.
  • 2Song J, Xu H, Lin B. Order Fulfillment Performence Measures im a Assemble-to-Order System with Stochastic Leadtimes[J]. Operations research, 1999,47:131-149
  • 3Glasserman P, Wang Y. Leadtime Inventory trade-offs in Assemble-to-Order Systems with Randon Leadtimes[J]. Operations Research, 1998,46:858-871.
  • 4Song J S, Yao D D. Performance Analysis and Optimization of Assemble-to Order Systems with Random Leadtines[J]. Operations Research, 2002,50:889-903.
  • 5Yao D. Modeling and Optimization of Supply Networks[J]. International Workshop on Operations researh, 2001.
  • 6Lu Y, Song J S, Yao D D. Order Fill Rate, Leadtime Variability, and Advance Demand Information in an Assemble-to-Order System[J]. Operations research, 2003,51:292-308.
  • 7彼德罗夫斯基著 段虞荣译.偏微分方程讲义[M].北京:高等教育出版社,1956..
  • 8Johnson N, Kotz S, Balakrishnan N. Discrete Multivariate Distributions[M]. New York:John Wiley & Sons. 1994.

同被引文献9

  • 1徐秀丽,马占友,田乃硕.非时齐Poisson到达的M(t)/G_j/∞排队群[J].运筹与管理,2004,13(6):25-30. 被引量：1
  • 2Jing-sheng Song.On the Order Fill Ratein a Multi-item,Base-stock Inventory System[J].Operation Research,1998,46:831-845.
  • 3Jing-sheng Song,etc.Order-fulfillment Performance Measures in an Assemble-to-orderSystem with Stochastic Lead-times[J].Operation Research,1999,47:131-149.
  • 4Savas Daynaik,Jing-sheng,Song,etc.The Effectiveness of Several Performance Bounds forCapacitated Production,Partial-order-service,Assemble-to-order Systems[J].ManagementScience,2003(5):230-251.
  • 5Jing-sheng Song,David D Yao.Performance Analysis and Optimizaton of Assemble-to-orderSystems with Random Lead Times[J].Operation Research,2002,50:889-903.
  • 6Yingdong Lu,Jing-sheng Song,etc.Order Fill Rate,Lead-time Variability,and AdvanceDemand Information in an Assemble-to-order System[J].Operation Research,2003,51:293-308.
  • 7王学武,田乃硕.同输入Mi/Gi/∞[D].秦皇岛:燕山大学理学硕士学位论文,2003.
  • 8金军,田乃硕.同输入Mi/Mi/∞[D].秦皇岛:燕山大学理学硕士学位论文,2004.
  • 9Ross S M.Stochastic Process[M].New York; John Wiley & Sons,1983.

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运筹与管理
2005年 第1期

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