Публикации
Nekrasova R., Morozov E.
Stability analysis of a model with general retrials and constant retrial rate
// Proceedings of the Second International Workshop on Stochastic Modeling and Applied Research of Technology (SMARTY2020). CEUR Workshop Proceedings, Vol. 2792. 2020. P. 150–161
Ключевые слова: Retrial System, Constant Retrial Rate, Stability Analysis, General Retrials, Heuristic Approach, Renewal Theory
The paper deals with a single-server model with constant re-trial rate. If an arrival meets the server busy, it joins the infinite-capacityorbit and then tries to occupy the server again after generally distributedtime interval. Unlike the classical retrial policy, the intensity of orbit cus-tomers does not depend on its number. To derive the stability conditionfor such a model, we construct less complicated for analysis dominatingsystem and illustrate its stability condition, basing on Markov chain ap-proach. Then, relying on heuristic method and using some results fromrenewal theory, we make a basic assumption about stability condition ofthe model under consideration. Simulation results for Pareto and Weibulldistribution of retrial time confirm, that assumed stability condition givesa good approximation of theoretical stability region
Последние изменения: 1 февраля 2021