| THE M/M/c QUEUE WITH PH SYNCHRONOUS VACATIONS |
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| 作者姓名： | TIAN Nai shuo |
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| 作者单位： | TIAN Nai shuo (Department of Mathematics，Yanshan University，Qinhuangdao 066004，China) LI Quan lin (National Laboratory of Pattern Recognition，Institute of Automation，Chinese Academy of Sciences，Beijing 100080，China) |
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| 摘 要： | 1.IntroductionRecently,singleserverqueueswithvacationshavebeenstudiedextensivelyfromtheirowntheoreticalinterestaswellastheirapplicationstomanyengineeringsystemssuchascomputers,communicationnetworksandmanufacturingsystems.FOrtheM/G/lqueueingsystemswit...
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THE M/M/c QUEUE WITH PH SYNCHRONOUS VACATIONS |
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| TIAN Nai shuo.THE M/M/c QUEUE WITH PH SYNCHRONOUS VACATIONS[J].Journal of Systems Science and Complexity,2000(1). |
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| Authors: | TIAN Nai shuo |
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| Abstract: | In this paper, we give a detailed analysis of the M/M/c queue with Phase Type synchronous vacations. Two models are considered. Firstly, the vacation strategy is a multiple synchronous vacation. Secondly, only a single vacation is taken each time. For model 1, we give the distributions of the stable queue length and the waiting time. Finally, itis shown that model 2 may be analyzed similarly to model 1. |
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| Keywords: | M/M/c queue synchronous vacation phase type distribution quasi birth and death process matrix-geometric solution |
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