Note on the article: Maximum entropy analysis of the M^[x]/M/1 queueing system with multiple vacations and server breakdowns

Edward Omey () and Stefan Van Gulck ()
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Edward Omey: Hogeschool-Universiteit Brussel (HUB), Belgium
Stefan Van Gulck: Hogeschool-Universiteit Brussel (HUB), Belgium

No 2007/16, Working Papers from Hogeschool-Universiteit Brussel, Faculteit Economie en Management

Abstract: Wang et al. (2007) elaborate on an interesting approach to estimate the equilibrium distribution for the number of customers in the M[x]/M/1 queueing model with multiple vacations and server breakdowns. Their approach consists of maximizing an entropy function subject to constraints, where the constraints are formed by some known exact results. By a comparison between the exact expression for the expected delay time and an approximate expected delay time based on the maximum entropy estimate, they argue that their maximum entropy estimate is sufficiently accurate for practical purposes. In this note, we show that their maximum entropy estimate is easily rejected by simulation. We propose a minor modification of their maximum entropy method that significantly improves the quality of the estimate.

Keywords: Queueing model; Batch arrival; Multiple vacation; Server breakdowns; Maximum entropy; Simulation (search for similar items in EconPapers)
Pages: 12 pages
Date: 2007-10-29
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