The GI/G/1 Queue with Uniformly Limited Virtual Waiting Times, the Finite Dam

摘要

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, various transient and stationary results for the system is obtained.