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

Author:

Le Minh Do

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

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