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

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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)

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.

Suggested Citation

  • P. Vijaya Laxmi & V. Goswami & K. Jyothsna, 2013. "Analysis of Finite Buffer Markovian Queue with Balking, Reneging and Working Vacations," International Journal of Strategic Decision Sciences (IJSDS), IGI Global, vol. 4(1), pages 1-24, January.
    • Handle: RePEc:igg:jsds00:v:4:y:2013:i:1:p:1-24
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    Cited by:

    1. Amina Angelika Bouchentouf & Mouloud Cherfaoui & Mohamed Boualem, 2019. "Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 300-323, March.
    2. P. Vijaya Laxmi & V. Goswami & K. Jyothsna, 2013. "Optimization of Balking and Reneging Queue with Vacation Interruption under -Policy," Journal of Optimization, Hindawi, vol. 2013, pages 1-9, June.

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