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ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337
Indexed in
Calculation of the Characteristics of the Multichannel Queueing System with Pure Losses and Feedback
ABSTRAKT
A mathematical model of the multichannel queueing system with pure losses and feedback is proposed. Here feedback is characterized by instant returning a part of calls to get a repeated service. Three schemes of returning calls which have already been serviced are studied. In the first scheme the probability of return depends on a number of primary calls in channels; in the second scheme this probability depends on the number of repeated calls in channels; in the third scheme this probability depends on the total number of calls in channels. Both exact and approximate methods to calculate characteristics of the system are developed. The exact method is based on the system of balance equations for the probabilities of system states and the approximate method uses the principles of space merging of two dimensional Markov chains. Results of numerical experiments are given.
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Melikov Agassi, Zadiranova Lubov, Moiseev Alexander, Two Asymptotic Conditions in Queue with MMPP Arrivals and Feedback, in Distributed Computer and Communication Networks, 678, 2016. Crossref
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Shklennik Maria, Moiseeva Svetlana, Moiseev Alexander, Optimization of Two-Level Discount Values Using Queueing Tandem Model with Feedback, in Information Technologies and Mathematical Modelling. Queueing Theory and Applications, 912, 2018. Crossref
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Melikov A., Aliyeva S., Refined Approximate Algorithm for Steady-State Probabilities of the Large Scale Queuing Systems with Instantaneous and Delayed Feedback, in Information Technologies and Mathematical Modelling. Queueing Theory and Applications, 1109, 2019. Crossref
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Moiseeva Svetlana, Zadiranova Lyubov, Feedback in Infinite-Server Queuing Systems, in Distributed Computer and Communication Networks, 601, 2016. Crossref
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Melikov Agassi, Ponomarenko Leonid, Rustamov Anar, Methods for Analysis of Queueing Models with Instantaneous and Delayed Feedbacks, in Information Technologies and Mathematical Modelling - Queueing Theory and Applications, 564, 2015. Crossref