We study a variation of the M/G/1 queueing model in which service time of customers is modified depending on the class to which the customers belong. Specifically, apart from the regular service time, we consider different service times for every customer who starts service after an idle and also for every (m+1)st customer. The model represents situations such as when the system requires a warm up time from a cold start (i.e.) after being idle for some time and also a system that is taken down at regular intervals perhaps for maintenance. Such systems come under the general class of vacation models. The system is modeled as a Markov process with a transition matrix of the M/G/1 type. Matrix-analytic results are utilized to compute some performance measures of interest.
Library of Congress Subject Headings
Queuing theory; Markov processes; Matrices
Department, Program, or Center
School of Mathematical Sciences (COS)
Graf, Kathryn, "Analysis of a queueing model with service threshold" (2010). Thesis. Rochester Institute of Technology. Accessed from
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