具有不可靠服务器、多个休假、过载和备用服务器的批量服务队列分析

Int. J. Math. Oper. Res. Pub Date : 2020-04-22 DOI:10.1504/ijmor.2020.10028387

G. Ayyappan, S. Karpagam

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引用次数: 6

摘要

研究了具有不可靠服务器、多重休假、过载和备用服务器的M[X]/G(a, b)/1排队系统的行为。备用服务器仅在主服务器维修期间使用。推导了队列大小的概率生成函数(PGF)和一些重要的性能指标。给出了一个广泛的数值结果。

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Analysis of a bulk service queue with unreliable server, multiple vacation, overloading and stand-by server

We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.

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Int. J. Math. Oper. Res.

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