An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues

Author:

Al-Seedy Ragab Omarah1,Al-Ibraheem Fawziah M.2

Affiliation:

1. Department of Mathematics, Teacher's College in Al-Ahsa, Saudi Arabia

2. Department of Mathematics, Science College for Girls in Dammam, Saudi Arabia

Abstract

The aim of this paper is to treat the analytical solution of the truncated interarrival hyperexponential machine interference queue:H2/M/1/m+Y/m+Yin case of two branches with the following concepts: balking, reneging, state-dependent, spares, and an additional server for longer queues. Our research treats the general case for the values ofmandYconsidering the discipline FIFO. And some special cases have been verified.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A time-shared machine repair problem with mixed spares under N-policy;Journal of Industrial Engineering International;2016-02-05

2. Aspects of Impatience in a Finite Buffer Queue;RAIRO - Operations Research;2012-07

3. Some aspects of balking and reneging in finite buffer queues;RAIRO - Operations Research;2011-07

4. A survey of the machine interference problem;European Journal of Operational Research;2007-06

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