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Methods for Analysis of Multi-Channel Queueing System with Instantaneous and Delayed Feedbacks

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Cybernetics and Systems Analysis Aims and scope

Abstract

The authors propose a mathematical model for a multi-channel queueing system with feedback in which one part of calls instantaneously enters the system for repeated service and the other part either retries in some random time or finally leaves the system. The behavior of the serviced calls is randomized. Both exact and asymptotic methods are developed to calculate the characteristics of the proposed model. The results of numerical experiments are presented.

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Correspondence to V. S. Koroliuk.

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Translated from Kibernetika i Sistemnyi Analiz, No. 1, January–February, 2016, pp. 64–77.

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Koroliuk, V.S., Melikov, A.Z., Ponomarenko, L.A. et al. Methods for Analysis of Multi-Channel Queueing System with Instantaneous and Delayed Feedbacks. Cybern Syst Anal 52, 58–70 (2016). https://doi.org/10.1007/s10559-016-9800-y

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