Résolution et implémentation de quelques problèmes de gestion de stocks. Cas de la maison d'édition de journal "Liberté" et de la DRGB Sonatrach, Béjaia
Bulletin of The Iranian Mathematical Society, 2017
In this work, we derive insensitive bounds for various performance measures of a single-server... more 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 methodology is strongly based on stochastic comparison techniques. Instead of studying a performance measure in a quantitative fashion, this approach attempts to reveal the relationship between the performance measures and the parameters of the system. We prove the monotonicity of the transition operator of the embedded Markov chain relative to strong stochastic ordering and increasing convex ordering. We obtain comparability conditions for the distribution of the number of customers in the system. Bounds are derived for the stationary distribution and some simple bounds for the mean cha...
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