Analysis of a Discrete-Time Impatient Customer Queue with Bernoulli-Schedule Vacation Interruption

Abstract. This paper investigates a discrete-time impatient customer queue with Bernoulli- schedule vacation interruption. The vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. We obtain the steady-state probabilities at arbitrary and outside observer's observation epochs using recursive technique. Cost analysis is carried out using particle swarm optimization. Computational experiences with a variety of numerical results are discussed.