Analysis of Finite Buffer Markovian Queue with Balking, Reneging and Working Vacations

P. Vijaya Laxmi, V. Goswami and K. Jyothsna
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P. Vijaya Laxmi: Department of Applied Mathematics, Andhra University, Visakhapatnam, Andra Pradesh, India
V. Goswami: School of Computer Application, KIIT University, Bhubaneswar, Orissa, India
K. Jyothsna: Department of Applied Mathematics, Andhra University, Visakhapatnam, Andra Pradesh, India

International Journal of Strategic Decision Sciences (IJSDS), 2013, vol. 4, issue 1, 1-24

Abstract: This article presents the analysis of a finite buffer M/M/1 queue with multiple and single working vacations. The arriving customers balk (that is do not join the queue) with a probability and renege (that is leave the queue after joining) according to exponential distribution. The inter-arrival times, service times during a regular service period, service times during a vacation period and vacation times are independent and exponentially distributed random variables. Steady-state behavior of the model is considered and various performance measures, some special cases of the model and cost analysis are discussed.

Date: 2013
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