Title | ||
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GI/Geom/1/N/MWV queue with changeover time and searching for the optimum service rate in working vacation period |
Abstract | ||
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In this paper, we consider a finite buffer size discrete-time multiple working vacation queue with changeover time. Employing the supplementary variable and embedded Markov chain techniques, we derive the steady state system length distributions at different time epochs. Based on the various system length distributions, the blocking probability, probability mass function of sojourn time and other performance measures along with some numerical examples have been discussed. Then, we use the parabolic method to search the optimum value of the service rate in working vacation period under a given cost structure. |
Year | DOI | Venue |
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2011 | 10.1016/j.cam.2010.10.013 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
embedded markov chain technique,cost structure,mwv queue,sojourn time,probability mass function,different time epoch,various system length distribution,changeover time,steady state system length,vacation period,optimum service rate,vacation queue,discrete time,steady state | Probability mass function,Mathematical optimization,Changeover,Queue,Markov chain,Probability distribution,Discrete time and continuous time,Steady state,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
235 | 8 | 0377-0427 |
Citations | PageRank | References |
6 | 0.52 | 9 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Miaomiao Yu | 1 | 55 | 6.13 |
Yinghui Tang | 2 | 42 | 5.95 |
Yonghong Fu | 3 | 25 | 2.83 |
Lemeng Pan | 4 | 13 | 1.36 |