| THE TRANSIENT SOLUTION FOR M/G/1 QUEUEWITH SERVER VACATIONS |
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| 作者姓名： | 唐应辉 |
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| 作者单位： | Department of Applied Mathematics，University of Electronic Science and Technology of China，Chengdu 610054，China |
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| 摘 要： | 1IntroductionDuringrecentseveraldecadesqueueingmodelswitllservervacationshavebeenstudiedin'anumberofpapers(seethecitedreferences).Inthesepaperstwoofthemostremarkableresultsconcernsthestochasticdecompositionpropertiesofqueuelengthandwaitingtimeatarandompointinequilibrium.Butthetransientpropertyoftilequeuelengthforanyqueueingsystemwithservervacationsisnotdiscussedyet.InthispaperwefirstlystlldytheproblemforM/G/1queuewithservervacations.Andthequeueingmodelsconsideredarethefollowing.Model1Conside…
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THE TRANSIENT SOLUTION FOR M/G/1 QUEUE WITH SERVER VACATIONS |
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| Tang Yinghui.THE TRANSIENT SOLUTION FOR M/G/1 QUEUEWITH SERVER VACATIONS[J].Acta Mathematica Scientia,1997(3). |
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| Authors: | Tang Yinghui |
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| Abstract: | In this paper, the transient solutions for M/G/1 queues with single server vacation and multiple server vacations are firstly studied, and the recursion expressions of their Laplace transform are given. Further the distribution and stochastic decomposition result of the queue length at a random point in equilibrium are directly obtained from the transient solution. As will be seen this paper provides a intuitive and elegant method for studying transient solutions for M/G/1 queues with single server. |
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| Keywords: | Server-vacation queue length transient solution stochastic decomposion |
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