The MacLaurin expansion for a G/G/1 queue with Markov-modulated arrivals and services

The MacLaurin expansion for a G/G/1 queue with Markov-modulated arrivals and services

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Article ID: iaor19941210
Country: Netherlands
Volume: 14
Issue: 1/2
Start Page Number: 125
End Page Number: 134
Publication Date: Aug 1993
Journal: Queueing Systems
Authors: ,
Abstract:

Consider a Markov-modulated G/G/1 queueing system in which the arrival and the service mechanisms are controlled by an underlying Markov chain. The classical approaches to the waiting time of this type of queueing system have severe computational difficulties. In this paper, the authors develop a numerical algorithm to calculate the moments of the waiting time based on Gong and Hu’s idea. The present numerical results show that the algorithm is powerful. A matrix recursive equation for the moments of the waiting time is also given under certain conditions.

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