N. Djellab

Laboratory LaPS‎, ‎Department of athematics‎, ‎University of Badji Mokhtar‎, ‎Annaba 23000‎, ‎Algeria.

[ 1 ] - A stochastic version analysis of an M/G/1 retrial queue with Bernoulli‎ ‎schedule‎

‎In this work‎, ‎we derive insensitive bounds for various performance measures of a single-server‎ ‎retrial queue with generally distributed inter-retrial times and Bernoulli schedule‎, ‎under the special‎ ‎assumption that only the customer at the head of the orbit queue (i.e.‎, ‎a‎ ‎FCFS discipline governing the flow from the orbit to the server) is allowed‎ ‎to occupy the server‎. ‎The method...

[ 2 ] - Stochastic bounds for a single server queue with general retrial times

We propose to use a mathematical method based on stochastic comparisons of Markov chains in order to derive performance indice bounds‎. ‎The main goal of this paper is to investigate various monotonicity properties of a single server retrial queue with first-come-first-served (FCFS) orbit and general retrial times using the stochastic ordering techniques‎.

Co-Authors