Title: Renewal input infinite buffer batch service queue with single exponential working vacation and accessibility to batches
Authors: P. Vijaya Laxmi, Obsie Mussa Yesuf
Addresses: Department of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, Andhra Pradesh, India. ' Department of Mathematics, Andhra University, Visakhapatnam, 530 003, Andhra Pradesh, India
Abstract: This paper considers an infinite buffer single server batch service queue with single exponential working vacation policy. The inter-arrival times are generally independent and identically distributed random variables and the service times are exponential. The server accesses new arrivals even after service has started on any batch of initial number a. This operation continues till the service time of the ongoing batch is completed or the maximum accessible limit d of the batch being served is attained whichever occurs first. The supplementary variable technique and the recursive method are used to develop the steady-state queue length distributions at pre-arrival and arbitrary epochs. Some performance measures and numerical results are discussed.
Keywords: batch accessibility; non-accessible batches; supplementary variables; batch service queues; single vacation; working vacation; infinite buffer.
International Journal of Mathematics in Operational Research, 2011 Vol.3 No.2, pp.219 - 243
Available online: 06 Mar 2011Full-text access for editors Access for subscribers Purchase this article Comment on this article