ANALYSIS OF A DISCRETE-TIME IMPATIENT CUSTOMER QUEUE WITH BERNOULLI-SCHEDULE VACATION INTERRUPTION

Subject Areas : International Journal of Mathematical Modelling & Computations

P. Vijaya Laxmi ¹ ( Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India. )
K. Jyothsna ² ( Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India. )

Received: 2016-07-13 Accepted : 2016-07-13 Published : 2016-03-01

Keywords: particle swarm optimization, discrete-time, balking, Reneging, 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.

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