Comparative analysis for the N policy M/G/1 queueing system with a removable and unreliable server

Kuo-Hsiung Wang, Li-Ping Wang, Jau-Chuan Ke and Gang Chen

Mathematical Methods of Operations Research, 2005, vol. 61, issue 3, 505-520

Abstract: In this paper we analyze a single removable and unreliable server in the N policy M/G/1 queueing system in which the server breaks down according to a Poisson process and the repair time obeys an arbitrary distribution. The method of maximum entropy is used to develop the approximate steady-state probability distributions of the queue length in the M/G(G)/1 queueing system, where the second and the third symbols denote service time and repair time distributions, respectively. A study of the derived approximate results, compared to the exact results for the M/M(M)/1, M/E 2 (E 3 )/1, M/H 2 (H 3 )/1 and M/D(D)/1 queueing systems, suggest that the maximum entropy principle provides a useful method for solving complex queueing systems. Based on the simulation results, we demonstrate that the N policy M/G(G)/1 queueing model is sufficiently robust to the variations of service time and repair time distributions. Copyright Springer-Verlag 2005

Keywords: Control; Maximum entropy; M/G(G)/1 queue; Simulation; Unreliable server; Manuscript received: October 2002/Final version received: July 2004 (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s001860400395

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