ANALYSIS OF BATCH ARRIVAL CYCLIC SERVICE MULTIQUEUE SYSTEMS WITH LIMITED SERVICE DISCIPLINE

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概要

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• In this paper, the batch arrival cyclic service multiqueue system is studied. For a compound Poisson arrival cyclic service multiqueue system, we derive useful equalities with respect to the weighted sum of the mean waiting times for E-limited and G-limited service disciplines. Using these equalities, the upper bound of the mean waiting time at each queue is derived for symmetric system. Further, for general batch arrival cyclic service multiqueue system, an approximate formula with respect to the weighted sum of the mean waiting times is derived. For symmetric system, this approximate formula reduces to the approximate formula of the mean waiting time for exhaustive, gated, E-limited and G-limited service disciplines. In numerical results, these characteristic quantities are evaluated by comparing those to simulation results and other approximate results.

• 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

• Baba Yutaka

  Department Of Mathematics Faculty Of Education Yokohama National University

関連論文

• A Gated Processor-Sharing M/G/1 Queue with Limited Number of Service Positions
• ANALYSIS OF BATCH ARRIVAL CYCLIC SERVICE MULTIQUEUE SYSTEMS WITH LIMITED SERVICE DISCIPLINE

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