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THE M/M/c QUEUE WITH PH SYNCHRONOUS VACATIONS |
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| Authors: | TIAN Naishuo LI Quanlin |
| 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,it is shown that model 2 may be analyzed similarly to model 1. |
| Keywords: | M/M/c queue synchronous vacation phase type distribution quasi birth and death process matrix-geometric solution |
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