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Numerical calculation of the stationary distribution of the main multiserver retrial queue. (English) Zbl 1013.90038

Summary: We are concerned with the main multiserver retrial queue of \(M/M/c\) type with exponential repeated attempts. It is known that an analytical solution of this queueing model is difficult and does not lead to numerical implementation. Based on appropriate understanding of the physical behavior, an efficient and numerically stable algorithm for computing the stationary distribution of the system state is developed. Numerical calculations are done to compare our approach with the existing approximations.

MSC:

90B22 Queues and service in operations research
91B70 Stochastic models in economics
90C59 Approximation methods and heuristics in mathematical programming
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