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The GI/G/1 queue with uniformly limited virtual waiting times; the finite dam

Published online by Cambridge University Press:  01 July 2016

Do Le Minh
Do Le Minh*
Affiliation:
Clemson University
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Abstract

This paper studies the GI/G/1 queueing system in which no customer can stay longer than a fixed interval D. This is also a model for the dam with finite capacity, instantaneous water supply and constant release rule. Using analytical method together with the property that the queueing process ‘starts anew’ probabilistically whenever an arriving customer initiates a busy period, we obtain various transient and stationary results for the system.

Keywords

GI/G/1 QUEUELIMITED VIRTUAL WAITING TIMESFINITE DAMREGENERATIVE PROCESSESACTUAL WAITING TIMESLOST SERVICE TIMESVIRTUAL WAITING TIMESBUSY CYCLETRANSIENT RESULTSSTATIONARY RESULTS
Type
Research Article
Information
Advances in Applied Probability , Volume 12 , Issue 2 , June 1980 , pp. 501 - 516
Copyright
Copyright © Applied Probability Trust 1980 

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