Mohamed Boualem

TL;DR: This paper considers an M/G/1 retrial queue with vacations and derives several stochastic comparison properties in the sense of strong Stochastic ordering and convex ordering and provides simple insensitive bounds for the stationary queue length distribution.

TL;DR: In this investigation, a single server M/M/1/N feedback queueing system with vacation, balking, reneging and retention of reneged customers is analyzed and the steady state probabilities of the number of customers in the system are derived.

TL;DR: This model has a potential applications in various fields, such as in the cognitive radio network and the manufacturing systems, and some important performance measures, stochastic decomposition property of the system size distribution and the reliability indices are obtained.

TL;DR: The paper addresses monotonicity properties of the single server retrial queue with no waiting room and server subject to active breakdowns to place in a prominent position the insensitive bounds for the stationary distribution of the embedded Markov chain related to the model in the study.

TL;DR: In this article, the authors focus on stochastic comparison of the Markov chains to derive some qualitative approximations for an retrial queue with a Bernoulli feedback.