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Busy period of queues with state dependent arrival and service rates

Published online by Cambridge University Press:  14 July 2016

Nasser Hadidi
Nasser Hadidi*
Affiliation:
Pahlavi University, Shiraz, Iran
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Abstract

A technique is derived providing for the analysis of busy period processes in the queueing models M/Mn/1 and Mn/M/1; queueing models with state dependent service and arrival rates respectively. A single treatment covers both models and no separate analysis is required.

Keywords

POISSON QUEUESBUSY PERIODSTATE DEPENDENT RATESINTEGRAL DIFFERENCE EQUATIONPARTIAL DIFFERENTIAL EQUATION
Type
Short Communications
Information
Journal of Applied Probability , Volume 11 , Issue 4 , December 1974 , pp. 842 - 848
Copyright
Copyright © Applied Probability Trust 1974 

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