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非时齐Poisson到达的M(t)/G_j/∞排队群 被引量：1

Set of Queues M(t)/G_j/∞ Driven by Common Inhomogeneous Poisson Arrival Process
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摘要 本文研究了一个非时齐Poisson到达过程驱动的M(t)/Gj/∞排队群,导出了联合队长过程和联合输出过程的多元母函数,给出各排队系统之间的相关性分析。 In this paper,we discuss a set of queues M(t)/G_j/∞ driven by common inhomogeneous Poisson arrival process.We derive the multivariate generating functions for joint queue length process and joint output process,and give the analysis of relative properties between queueing systems.
作者 徐秀丽 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 2004年第6期25-30,共6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 供应链 同输入排队群 联合母函数 相关性 operations research supply chain set of queues driven by the common input joint generating function correlation
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 Multi-item Base-stock Inventory System[J]. Operations Research, 1998,46:831-845.
  • 2Glasserman P,Wang Y.Leadtime Inventory Trade-offs in Assemble-to-order System[J].Operations Research, 1998,46:858-871.
  • 3Song J, Xu H, Liu B. Order Fulfillment Performence Measures in a Assemble-to-order System with Stochastic Leadtimes[J]. Operations Research, 1999,47:131-149.
  • 4Song J S, Yao D D. Performance Analysis and Optimization of Assemble-to-Order Systems with Random Leadtimes[J]. Operations Research, 2002, 50:889-903.
  • 5Yao D. Modeling and Optimization of Supply Networks[Z]. International Workshop on Operations Research, 2001,Beijing.
  • 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.
  • 7Ross S. Stochastic Process[M]. New York: John Wiley & Sons, 1983.
  • 8Manoukian E. Modern concepts and theorems of mathematical statistics[M]. New York:Springer-Verlag, 1985.

同被引文献9

  • 1徐秀丽,刘名辛,马占友,田乃硕.同输入M/M/∞排队群的联合队长过程[J].运筹与管理,2005,14(1):1-7. 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.

引证文献1

运筹与管理
2004年 第6期

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