Analysis of state dependent N-policy queue with working vacations

Abstract

In this paper, we study a finite buffer renewal input N-policy queue with state dependent services and working vacations. The amount of service demanded by a customer is conditioned by the queue length at the moment service is begun for that customer. We provide a recursive algorithm using the supplementary variable technique to compute the stationary queue length distribution of the system. Some queueing models discussed in the literature are derived as special cases. Finally, using some numerical results, we present the parameter effect on various performance measures.

Keywords:

• state dependent
• N-policy
• supplementary variable
• working vacation
• recursive method