Waiting Time Distribution of the Queue with FCFS Orbit and Threshold Policy

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Abstract


We perform a waiting time analysis of a retrial queue with several heterogeneous servers and threshold control policy. The blocked customers are dispatched to the infinitely large orbit with FCFS service discipline. The system is analyzed in steady-state by deriving expressions for the Laplace transforms of the waiting time, the probability generating functions for the number of retrials made by a customer and for various moments of corresponding quantities. Some illustrative numerical examples and their discussion are presented.

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) 2011 Ефросинин Д.В.

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