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Titlebook: Information Technologies and Mathematical Modelling. Queueing Theory and Applications; 21st International C Alexander Dudin,Anatoly Nazarov

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1865-0929 Queueing Theory and Applications, ITMM 2022, held in Karshi, Uzbekistan, during October 25–29, 2022. .The 19 full papers included in this book were carefully reviewed and selected from 89 submissions. The papers are devoted to new results in queueing theory and its applications. Its target audience
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,Analysis of Retrial Queueing System with Two-Way Communication in Different Scenarios Using Simulatnduct a sensitivity analysis on the performance measures by using different distributions of the customers’ retrial time in two separate cases. The results of the comparison will be displayed graphically.
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,N-Policy on a Retrial Inventory System,stability. The Matrix- Analytic Method is employed to compute steady state probability vectors. Various steady state system performance measures are derived, and the long-run expected cost is calculated. Several numerical examples are presented to provide insight into the behavior of the cost function.
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Conference proceedings 2023heory and Applications, ITMM 2022, held in Karshi, Uzbekistan, during October 25–29, 2022. .The 19 full papers included in this book were carefully reviewed and selected from 89 submissions. The papers are devoted to new results in queueing theory and its applications. Its target audience includes s
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,Retrial Queue with Two-Way Communication and Collisions,s collisions. If two incoming calls cause collision, both of them join the orbit. On the other hand, if an outgoing call is in service upon arrival, incoming call preempts outgoing. In this case, the outgoing call is lost.
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978-3-031-32989-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Information Technologies and Mathematical Modelling. Queueing Theory and Applications978-3-031-32990-6Series ISSN 1865-0929 Series E-ISSN 1865-0937
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,Research of Dynamic RQ System M/M/1 with Unreliable Server,The paper considers a single-line retrial queueing (RQ) system with an unreliable server controlled by a dynamic random multiple access protocol. A study of the prelimit probability distribution of the number of applications in orbit has been carried out. To study this system, the method of generating functions is used.
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