CONJECTURES ON DECAY RATES OF TAIL PROBABILITIES IN GENERALIZED JACKSON AND BATCH MOVEMENT NETWORKS

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概要

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• Asymptotic decay rates are considered for the stationary joint distributions of customer populations in a generalized Jackson network and a batch movement network, We first define an asymptotic decay rate for a multi-dimensional distribution concerning a tail set and a direction to decrease. Then, for the stationary joint distributions of customer populations, the decay rates are conjectured to be obtained through max-min linear optimizations with convex constrains. Their validity is checked for some known resulte. Furthermore, the conjectured decay rates are shown to be useful to see how the decay rates are changed according to modeling parameters and the direction to decrease in a two node tandem queue.

• 社団法人日本オペレーションズ・リサーチ学会の論文

著者

• Miyazawa Masakiyo

  Tokyo University Of Science

• Miyazawa Masakiyo

  Department Of Information Science Tokyo University Of Science

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• RELATIONSHIP BETWEEN QUEUE-LENGTH AND WAITING TIME DISRIBUTIONS IN A PRIORITY QUEUE WITH BATCH ARRIVALS
• CONJECTURES ON DECAY RATES OF TAIL PROBABILITIES IN GENERALIZED JACKSON AND BATCH MOVEMENT NETWORKS
• A REGENERATIVE CYCLE APPROACH TO AN M/G/1 QUEUE WITH EXCEPTIONAL SERVICE

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