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Busy Period Analysis for the GI/M/1 Queue with Working Vacations  

Chae, Kyung-Chul (한국과학기술원 산업공학과)
Lim, Dae-Eun (한국과학기술원 산업공학과)
Publication Information
Journal of the Korean Operations Research and Management Science Society / v.32, no.2, 2007 , pp. 141-147 More about this Journal
Abstract
We consider a GI/M/1 queue with vacations such that the server works with different rate rather than completely stops working during a vacation period. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the length of the subsequent idle period.
Keywords
Cycle Analysis; Multiple Vacations; Idle Period; Number Served During Busy Period;
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  • Reference
1 Baba, Y, 'Analysis of a GI/M/1 Queue with Multiple Working Vacations,' Operations Research Letters, Vol.33(2005), pp.201-209   DOI   ScienceOn
2 Chae, K.C. and S.J. Kim, 'Busy Period Analysis for the GI/M/1 Queue with Exponential Vacations,' Operations Research Letters, Vol.35(2007), pp.114-118   DOI   ScienceOn
3 이호우, 대기행렬 이론, 3판, 시그마프레스, 2006
4 Cohen, J.W., The Single Server Queue, Revised Edition, North-Holland, Amsterdam, 1982
5 Takacs, L., Theory of Queues, Oxford University Press, Oxford, 1962 (Reprinted in 1982 by Greenwood Press, Westport, CT)
6 Wu, D.A. and H. Takagi, 'M/G/1 Queue with Multiple Working Vacations,' Performance Evaluation, Vol.63(2006), pp.654-681   DOI   ScienceOn
7 Servi, L.D. and S.G. Finn, 'M/M/1 Queue with Working Vacations (M/M/1/WV),' Performance Evaluation, Vol.50(2002), pp.41-52   DOI   ScienceOn