期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2014
卷号：3
期号：5
页码：12436
出版社：S&S Publications
摘要：Single server batch arrival retrial G-queue and an unreliable server with delayed repair are analyzed. Positivecustomers arrive in batches according to Poisson processes. If the server is idle, one of the positive customers in thebatch enters for service while the rest join the orbit. Otherwise all the customers enter the orbit. Arrival of negativecustomer removes the positive customer being in service from the system and causes the server breakdown. The repairof the failed server starts after a random amount of time known as delay time. Expected system size, orbit size,availability and failure frequency of the server are derived. Stochastic decomposition law is verified. Numericalexamples are presented to illustrate the influence of the parameters on several performance characteristics.
关键词：Retrial queue; G-queue; server breakdown; delayed repair and stochastic decomposition.
