Artalejo, Jesús R. and Lopez-Herrero, M. J. (2001) Analysis of the busy period for the M/M/c queue: An algorithmic approach. Journal of Applied Probability , 38 (1). pp. 209-222. ISSN 0021-9002
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This paper presents an algorithmic analysis of the busy period for the M/M/c queueing system. By setting the busy period equal to the time interval during which at least one server is busy, we develop a first step analysis which gives the Laplace-Stieltjes transform of the busy period as the solution of a finite system of linear equations. This approach is useful in obtaining a suitable recursive procedure for computing the moments of the length of a busy period and the number of customers served during it. The maximum entropy formalism is then used to analyse what is the influence of a given set of moments on the distribution of the busy period and to estimate the true busy period distribution. Our study supplements a recent work of Daley and Servi (1998) and other studies where the busy period of a multiserver queue follows a different definition, i.e., a busy period is the time interval during which all servers are engaged.
The authors thank the referee for his detailed comments on an earlier version of this paper. This work was supported by the European Commission through INTAS 96-0828, by the
|Uncontrolled Keywords:||Multiserve queues; busy period; number of customers served; maximum; entropy principle|
|Subjects:||Sciences > Mathematics > Operations research|
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|Deposited On:||04 Jul 2012 09:50|
|Last Modified:||13 May 2014 16:54|
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