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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v47.i5.20
pages 19-29

Calculation of the Characteristics of the Multichannel Queueing System with Pure Losses and Feedback

Agasi Zarbali ogly Melikov
Institute of Control Systems of National Academy of Sciences of Azerbaijan, Baku
Leonid A. Ponomarenko
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kiev, Ukraine
Khaver Nurmagomed kyzy Kuliyeva
National Aviation Academy of Azerbaijan, Baku (Azerbaijan)

RÉSUMÉ

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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