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題 名 | Steady State Analysis of Two M娋/M忹礼/1 Queue Models with Random Breakdowns |
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作 者 | Madan,Kailash C.; Abu-Dayyeh,Walid; Gharaibeh,Mohammad; | 書刊名 | International Journal of Information and Management Sciences |
卷 期 | 14:3 2003.09[民92.09] |
頁 次 | 頁37-51 |
分類號 | 494.542 |
關鍵詞 | Two model of M娋/M忹礼/1 queueing system with batch arrivals; Batch service; Random breakdowns; Exponential/Deterministic repairs; Steady state analysis; |
語 文 | 英文(English) |
英文摘要 | We study two models of a single server bulk queueing system Mx/Ma,b/1 in which the service facility suffers time homogeneous random breakdowns from time to time. In model A, the repair times are assumed to be exponential and in model b, the repair times are assumed to be deterministic. We obtain the probability generating functions of the queue size and the system size, the average queue size, the average system size and the average waiting time in the queue and the system. Some particular cases of interest are discussed and some known results are derived as special cases. A numerical example is also provided. |
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