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：2016
卷号：5
期号：2
页码：1391
DOI：10.15680/IJIRSET.2016.0502030
出版社：S&S Publications
摘要：In this paper we analyse the general bulk service queueing model to find the mean queue length q L ,probability that the system is in vacation(Pv) and the probability that the system is in busy state(Pbusy) are expressed interms of crisp value for FM/M(a,b)/1 under multiple working vacations with fuzzy numbers. The bulk service rule isapplied. The most general bulk service rule is introduced by Neuts[14]. The batches are served according to FCFSdiscipline. By considering the arrival rate, service rate for busy period, service rate for vacation period, exponentialdistribution of vacation parameters are as trapezoidal fuzzy numbers and the basic idea is to convert all these fuzzynumbers into crisp values by applying Robust Ranking Technique. Further Robust Ranking technique is used to findthe expected mean queue length. Moreover, the analytical results are numerically illustrated for Lq, Pv and Pbusy undercrisp environment for the different values of the parameters.
关键词：Bulk Service; Robust Ranking Technique; Multiple Working Vacation; Fuzzy number and Crisp value
