کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1706652 | 1012470 | 2009 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process](/preview/png/1706652.png)
We consider an infinite-buffer single server queue where arrivals occur according to a batch Markovian arrival process (BMAP). The server serves until system emptied and after that server takes a vacation. The server will take a maximum number H of vacations until either he finds at least one customer in the queue or the server has exhaustively taken all the vacations. We obtain queue length distributions at various epochs such as, service completion/vacation termination, pre-arrival, arbitrary, departure, etc. Some important performance measures, like mean queue lengths and mean waiting times, etc. have been obtained. Several other vacation queueing models like, single and multiple vacation model, queues with exceptional first vacation time, etc. can be considered as special cases of our model.
Journal: Applied Mathematical Modelling - Volume 33, Issue 7, July 2009, Pages 3025–3039