Martingale Methods for Analysing Single-Server Queues

被引：0
|
作者：
M. Roughan
C.E.M. Pearce
机构：
[1] AT&T Labs – Research,Department of Applied Mathematics
[2] University of Adelaide,undefined
来源：
Queueing Systems | 2002年 / 41卷
关键词：
/; /1 queue; martingale queueing; phase; overload control;
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摘要：
In this paper we presents a martingale method for analysing queues of M/G/1 type, which have been generalised so that the system passes through a series of phases on which the service behaviour may differ. The analysis uses the process embedded at departures to create a martingale, which makes possible the calculation of the probability generating function of the stationary occupancy distribution. Specific examples are given, for instance, a model of an unreliable queueing system, and an example of a queue-length-threshold overload-control system.
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页码：205 / 239
页数：34
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