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https://hdl.handle.net/2440/623
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Type: | Journal article |
Title: | Martingale methods for analysing single-server queues |
Author: | Roughan, M. Pearce, C. |
Citation: | Queueing Systems: Theory and Applications, 2002; 41(3):205-239 |
Publisher: | Kluwer Academic Publishers |
Issue Date: | 2002 |
ISSN: | 0257-0130 1572-9443 |
Statement of Responsibility: | M. Roughan and C.E.M. Pearce |
Abstract: | 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. |
Description: | The original publication is available at www.springerlink.com |
DOI: | 10.1023/A:1015851021001 |
Published version: | http://www.springerlink.com/content/jdb0ya0jb710dv32/ |
Appears in Collections: | Applied Mathematics publications Aurora harvest 5 |
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