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

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

P. Vijaya Laxmi, V. Goswami, K. Jyothsna
Copyright: © 2013 |Volume: 4 |Issue: 1 |Pages: 24
ISSN: 1947-8569|EISSN: 1947-8577|EISBN13: 9781466631342|DOI: 10.4018/jsds.2013010101
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MLA

Laxmi, P. Vijaya, et al. "Analysis of Finite Buffer Markovian Queue with Balking, Reneging and Working Vacations." IJSDS vol.4, no.1 2013: pp.1-24. http://doi.org/10.4018/jsds.2013010101

APA

Laxmi, P. V., Goswami, V., & Jyothsna, K. (2013). Analysis of Finite Buffer Markovian Queue with Balking, Reneging and Working Vacations. International Journal of Strategic Decision Sciences (IJSDS), 4(1), 1-24. http://doi.org/10.4018/jsds.2013010101

Chicago

Laxmi, P. Vijaya, V. Goswami, and K. Jyothsna. "Analysis of Finite Buffer Markovian Queue with Balking, Reneging and Working Vacations," International Journal of Strategic Decision Sciences (IJSDS) 4, no.1: 1-24. http://doi.org/10.4018/jsds.2013010101

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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.

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