[LAB18] M/M/1 Retrial Queue with Collisions and Transmission Errors

Revue Internationale avec comité de lecture : Journal Methodology and Computing in Applied Probability, vol. Springer, pp. 1-12, 2018, (doi:10.1007/s11009-018-9680-x)

Mots clés: Retrial queue Collisions Transmission errors Classical retrial rate Generating function

Résumé: In this paper, an M/M/1 retrial queue with collisions and transmission errors is considered. The collision may occur when a primary arriving customer finds the server busy while the transmission errors usually occur due to an erroneous packet or due to a non-ideal channel condition. We apply the generating function method to derive the joint distribution of the server state and the orbit length in steady state and we obtain important system characteristics. Finally, we present numerical examples to show the applicability of the model.


@article {
title="{M/M/1 Retrial Queue with Collisions and Transmission Errors}",
author="L. Lakouar and D. Aissani and K. Barkaoui",
journal="Methodology and Computing in Applied Probability",