On the limiting probabilities of the M/Er/1 queueing system

José M. Martínez V., Reinaldo A. Vallejos C. and Marta Barría M.

Statistics & Probability Letters, 2014, vol. 88, issue C, 56-61

Abstract: In this paper, two new formulations of the steady-state probability distribution of the number of customers in an M/Er/1 queue system are presented. On one hand, a new recurrent method which is numerically stable and computationally more efficient than the existing ones, in terms of memory and time, is presented. On the other hand, a new analytic formula, simpler than the current ones, which additionally has associated a probabilistic interpretation of its terms, that gives a new insight about this queue and its behavior, is also presented.

Keywords: Queueing model; Erlang service; Recurrent evaluation; Analytic solution (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2014.01.030

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