Consecutive customer losses in oscillating GI X /M//n systems with state dependent services rates

António Pacheco () and Helena Ribeiro ()

Annals of Operations Research, 2008, vol. 162, issue 1, 143-158

Abstract: We address the probability that k or more Consecutive Customer Losses take place during a busy period of a queue, the so-called k-CCL probability, for oscillating GI X /M//n systems with state dependent services rates, also denoted as GI X /M(m)−M(m)//n systems, in which the service rates oscillate between two forms according to the evolution of the number of customers in the system. We derive an efficient algorithm to compute k-CCL probabilities in these systems starting with an arbitrary number of customers in the system that involves solving a linear system of equations. The results derived are illustrated for specific sets of parameters. Copyright Springer Science+Business Media, LLC 2008

Keywords: Consecutive customer losses, GI X /M(m)//n system, Oscillating system; batch arrivals, Busy period, (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10479-008-0313-6

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