Equilibrium Customer Strategies in Markovian Queues with Working Vacations and N-policy

Abstract

In this paper, we consider the equilibrium of the customers in an M/M/1 queueing model with working vocations and N-policy. This paper assumed the server rate turn to a low rate when the number of customers in the system is below N and a work vacation begin. The server service rate switch to high rate only if the number of customers in the queue is more than N when a vacation ends. With considering waiting cost and reward, the equilibrium strategies of a customer are derived under the conditions that the system is fully observable and fully unobservable. The effect of parameters on the equilibrium threshold are presented by numerical examples.