Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 183089, 15 pages
Research Article

Generalized Truncated Methods for an Efficient Solution of Retrial Systems

Ma Jose Domenech-Benlloch, Jose Manuel Gimenez-Guzman, Vicent Pla, Jorge Martinez-Bauset, and Vicente Casares-Giner

Departamento de Comunicaciones, Universidad Politécnica de Valencia (UPV), Camì de Vera s/n, 46022 Valencia, Spain

Received 2 July 2007; Accepted 5 March 2008

Academic Editor: Nahum Shimkin

Copyright © 2008 Ma Jose Domenech-Benlloch et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We are concerned with the analytic solution of multiserver retrial queues including the impatience phenomenon. As there are not closed-form solutions to these systems, approximate methods are required. We propose two different generalized truncated methods to effectively solve this type of systems. The methods proposed are based on the homogenization of the state space beyond a given number of users in the retrial orbit. We compare the proposed methods with the most well-known methods appeared in the literature in a wide range of scenarios. We conclude that the proposed methods generally outperform previous proposals in terms of accuracy for the most common performance parameters used in retrial systems with a moderated growth in the computational cost.