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

Agasi Zarbali ogly Melikov; Leonid A. Ponomarenko; Khaver Nurmagomed kyzy Kuliyeva

doi:10.1615/JAutomatInfScien.v47.i5.20

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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

Volumen 47, Edición 5, 2015, pp. 19-29

DOI: 10.1615/JAutomatInfScien.v47.i5.20

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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)

SINOPSIS

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.

PALABRAS CLAVE: multichannel queueing system, repeated calls, exact and approximate methods, space merging.

CITADO POR

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
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
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
Moiseeva Svetlana, Zadiranova Lyubov, Feedback in Infinite-Server Queuing Systems, in Distributed Computer and Communication Networks, 601, 2016. Crossref
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

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