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：2015
卷号：4
期号：4
页码：1906
DOI：10.15680/IJIRSET.2015.0404014
出版社：S&S Publications
摘要：Batch arrival retrial queue with positive and negative customers is considered. If the server is idle uponthe arrival of a batch, one of the customers in the batch receives service immediately and others join the orbit. If theserver is busy, all the customers join the orbit. The arrival of negative customer brings the server down and removes thecustomer in service from the system. The server is subject to random breakdown while it is working. Usingsupplementary variable technique, expected number of customers in the orbit and expected number of customers in thesystem are derived. Stochastic decomposition property is established. Some special cases are discussed and numericalresults are presented.
