Annals of Operations Research

, Volume 116, Issue 1, pp 41–56

Numerical Calculation of the Stationary Distribution of the Main Multiserver Retrial Queue

  • J.R. Artalejo
  • M. Pozo
Article

DOI: 10.1023/A:1021359709489

Cite this article as:
Artalejo, J. & Pozo, M. Annals of Operations Research (2002) 116: 41. doi:10.1023/A:1021359709489

Abstract

We are concerned with the main multiserver retrial queue of M/M/c type with exponential repeated attempts. It is known that an analytical solution of this queueing model is difficult and does not lead to numerical implementation. Based on appropriate understanding of the physical behavior, an efficient and numerically stable algorithm for computing the stationary distribution of the system state is developed. Numerical calculations are done to compare our approach with the existing approximations.

algorithmic probabilityperformance analysisretrial queuesstationary distribution

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • J.R. Artalejo
    • 1
  • M. Pozo
    • 1
  1. 1.Department of Statistics and Operations Research, Faculty of MathematicsComplutense University of MadridMadridSpain