Transient analysis of an M/M/1 queue with multiple vacations

Kaliappan Kalidass, Kasturi Ramanath

Abstract


In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1  queue with server vacations under a multiple vacation scheme. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems

Keywords


Markovian queue, transient probabilities, multiple vacations, performance measures

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DOI: http://dx.doi.org/10.18187/pjsor.v10i1.335

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Title

Transient analysis of an M/M/1 queue with multiple vacations

Keywords

Markovian queue, transient probabilities, multiple vacations, performance measures

Description

In this paper, we have obtained explicit expressions for the time dependent probabilities of the M/M/1  queue with server vacations under a multiple vacation scheme. The corresponding steady state probabilities have been obtained. We also obtain the time dependent performance measures of the systems

Date

2014-05-15

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 10 No. 1, 2014



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810