Analysis of queuing systems with threshold renovation mechanism and inverse service discipline

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Abstract

The paper presents a study of three queuing systems with a threshold renovation mechanism and an inverse service discipline. In the model of the first type, the threshold value is only responsible for activating the renovation mechanism (the mechanism for probabilistic reset of claims). In the second model, the threshold value not only turns on the renovation mechanism, but also determines the boundaries of the area in the queue from which claims that have entered the system cannot be dropped. In the model of the third type (generalizing the previous two models), two threshold values are used: one to activate the mechanism for dropping requests, the second - to set a safe zone in the queue. Based on the results obtained earlier, the main time-probabilistic characteristics of these models are presented. With the help of simulation modeling, the analysis and comparison of the behavior of the considered models were carried out.

About the authors

Ivan S. Zaryadov

Peoples’ Friendship University of Russia (RUDN University); Institute of Informatics Problems, FRC CSC RAS

Email: zaryadov-is@rudn.ru
ORCID iD: 0000-0002-7909-6396

Candidate of Physical and Mathematical Sciences, Assistant Professor of Department of Applied Probability and Informatics of Peoples’ Friendship University of Russia (RUDN University); Senior Researcher of Institute of Informatics Problems of Federal Research Center “Computer Science and Control” Russian Academy of Sciences

6, Miklukho-Maklaya St., Moscow, 117198, Russian Federation; 44-2, Vavilova St., Moscow 119333, Russian Federation

Hilquias C. C. Viana

Peoples’ Friendship University of Russia (RUDN University)

Email: hilvianamat1@gmail.com
PHD student of Department of Applied Probability and Informatics 6, Miklukho-Maklaya St., Moscow, 117198, Russian Federation

Tatiana A. Milovanova

Peoples’ Friendship University of Russia (RUDN University)

Author for correspondence.
Email: milovanova-ta@rudn.ru
ORCID iD: 0000-0002-9388-9499

Candidate of Physical and Mathematical Sciences, Lecturer of Department of Applied Probability and Informatics

6, Miklukho-Maklaya St., Moscow, 117198, Russian Federation

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