کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1134546 | 956072 | 2011 | 8 صفحه PDF | دانلود رایگان |
This paper investigates a discrete-time single server batch service queue with multiple working vacations wherein arrivals occur according to a discrete-time renewal process. The server works with a different service rate rather than completely stopping during the vacation period. The service is performed in batches and the server takes a vacation when the system does not have any waiting customers at a service completion epoch or a vacation completion epoch. We present a recursive method, using the supplementary variable technique to obtain the steady-state queue-length distributions at pre-arrival, arbitrary and outside observer’s observation epochs. The displacement operator method is used to solve simultaneous non-homogeneous difference equations. Some performance measures and waiting-time distribution in the system have also been discussed. Finally, numerical results showing the effect of model parameters on key performance measures are presented.
► We carry out an analysis of a discrete-time single server batch service queue with multiple working vacations.
► We develop a recursive method using the supplementary variable technique to obtain the steady-state queue length distributions at various epochs.
► The recursive method is very efficient and easy to implement.
► We compute various performance measures and waiting-time distribution in the system.
Journal: Computers & Industrial Engineering - Volume 61, Issue 3, October 2011, Pages 629–636