頁籤選單縮合
題名 | Steady State Analysis of an M/D/1 Queue with Coxian-2 Server Vacations and a Single Vacation Policy= |
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作者 | Al-Jararha,Jehad; Madan,K.; |
期刊 | International Journal of Information and Management Sciences |
出版日期 | 20021200 |
卷期 | 13:4 2002.12[民91.12] |
頁次 | 頁69-81 |
分類號 | 310 |
語文 | eng |
關鍵詞 | Bernoulli schedule server vacations; Deterministic service; Coxian-2 server vacations; Steady state probability generating functions; Stability condition; |
英文摘要 | We analyze the steady state behavior of an M/D/1 queue with Bernoulli shedules and Coxian-2 server vacations. Customers arrive one by one at the system in a Poisson stream. The service time of a customer is assumed to be deterministic. At each service completion epoch, the server may opt to take a vacation with probability p or else with probability 1-p may continue to be available in the system for the next service. The vacation period of the server is assumed to have a Coxian-2 distribution. We obtain steady state probability generating functions for the queue size and the system size in explicit and closed forms. Some particular cases of interst including known results of the M/D/1 queue have been derived. |
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