THE M/PH/1 QUEUE WITH WORKING VACATIONS AND VACATION INTERRUPTION

(整期优先)网络出版时间:2010-04-14
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WestudyanM/PH/1queuewithphasetypeworkingvacationandvacationinterruptionwherethevacationtimefollowsaphasetypedistribution.Theserverservesthecustomersatalowerrateinavacationperiod.Theservercomesbacktotheregularbusyperiodataservicecompletionwithoutcompletingthevacation.Suchpolicyiscalledvacationinterruption.Intermsofquasibirthanddeathprocessandmatrix-geometricsolutionmethod,weobtainthestationaryqueuelengthdistribution.Moreoverweobtaintheconditionalstochasticdecompositionstructuresofqueuelengthandwaitingtimewhentheservicetimedistributionintheregularbusyperiodisexponential.