Artalejo, Jesús R. and Economou, A. and Lopez-Herrero, M. J. (2007) Algorithmic analysis of the maximum queue length in a busy period for the M/M/c retrial queue. INFORMS Journal on Computing , 19 (1). pp. 121-126. ISSN 1091-9856
Restricted to Repository staff only until 31 December 2020.
This paper deals with the maximum number of customers in orbit (and in the system) during a busy period for the M/M/c retrial queue. Determining the distribution for the maximum number of customers in orbit is reduced to computation of certain absorption probabilities. By reducing to the single-server case we arrive at a closed analytic formula. For the multi-server case we develop an efficient algorithmic procedure for computation of this distribution by exploiting the special block-tridiagonal structure of the system. Numerical results illustrate the efficiency of the method and reveal interesting facts concerning the behavior of the M/M/c retrial queue.
|Uncontrolled Keywords:||M/M/c retrial queue; maximum orbit size; busy period; continuous-time Markov chain; tridiagonal; linear system; Extreme values|
|Subjects:||Sciences > Mathematics > Operations research|
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|Deposited On:||18 May 2012 09:06|
|Last Modified:||06 Feb 2014 10:20|
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