Stationary Characteristics of the Multichannel Queuewith FCFS Orbit And Threshold Control

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Abstract


In the paper we deal with a Markovian queueing system with heterogeneous servers and constant retrial rate. The system operates under a threshold policy. The system is described by quasi-birth-and-death process with infinitesimal matrix depending on the threshold levels. Using a matrix-geometric approach we perform a stationary analysis of the system, derive expressions for the mean performance measures and formulas for optimal threshold levels.

About the authors

D V Efrosinin

Peoples Friendship University of Russia

Email: dmitriy_e@mail.ru
Кафедра теории вероятностей и математической статистики; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2010 Ефросинин Д.В.

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