Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems

Eduard Sopin; Vyacheslav Begishev; Dmitri Moltchanov; Andrey Samuylov

doi:10.1007/978-3-031-09331-9_9

Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems

Eduard Sopin
, Vyacheslav Begishev^*
, Dmitri Moltchanov
, Andrey Samuylov

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

19 Downloads (Pure)

Abstract

The paper considers a network of resource loss systems (ReLS) with random resource requirements and two types of nodes. Customers initially arrive to the first type of nodes, where they receive service for exponentially distributed time. The service of customers can be interrupted. In this case, they are rerouted to the second type of nodes, where they receive service for an exponentially distributed time. Once the service is completed, they return back to the original node and continue its service. Customers require a random volume of limited resources. If there are not enough of unoccupied resources upon the arrival of a customer, then it is considered lost. Similarly, if an accepted customer is rerouted to another node and finds that there are not enough of resources to meet its requirements, then it is also lost. In this paper, we provide an approach to analyze the stationary behavior of the considered system, as well as establish expressions for the new customer loss probability and the accepted customer loss probability. The developed model has a wide range of applications in performance evaluation of fifth generation (5G) New Radio (NR) access networks. To this aim, we investigate the response of the considered service system in detail by revealing critical dependencies and trade-offs between input system parameters and performance measures of interest.

Original language	English
Title of host publication	Information Technologies and Mathematical Modelling. Queueing Theory and Applications - 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Revised Selected Papers
Editors	Alexander Dudin, Anatoly Nazarov, Alexander Moiseev
Publisher	Springer
Pages	105-116
Number of pages	12
ISBN (Electronic)	9783031093319
ISBN (Print)	9783031093302
DOIs	https://doi.org/10.1007/978-3-031-09331-9_9
Publication status	Published - 2022
Publication type	A4 Article in conference proceedings
Event	International Conference on Information Technologies and Mathematical Modelling - Virtual, Online Duration: 1 Dec 2021 → 5 Dec 2021

Publication series

Name	Communications in Computer and Information Science
Volume	1605 CCIS
ISSN (Print)	1865-0929
ISSN (Electronic)	1865-0937

Conference

Conference	International Conference on Information Technologies and Mathematical Modelling
City	Virtual, Online
Period	1/12/21 → 5/12/21

Funding

The research was funded by the Russian Science Foundation, project no. 21-79-10139, https://rscf.ru/en/project/21-79-10139/.

Keywords

5G NR
loss probability
multiconnectivity
queuing network
Resource loss system
wireless networks

Publication forum classification

Publication forum level 1

ASJC Scopus subject areas

General Computer Science
General Mathematics

Access to Document

10.1007/978-3-031-09331-9_9

Evaluation of the New and Accepted Customers
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Cite this

Sopin, E., Begishev, V., Moltchanov, D., & Samuylov, A. (2022). Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems. In A. Dudin, A. Nazarov, & A. Moiseev (Eds.), Information Technologies and Mathematical Modelling. Queueing Theory and Applications - 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Revised Selected Papers (pp. 105-116). (Communications in Computer and Information Science; Vol. 1605 CCIS). Springer. https://doi.org/10.1007/978-3-031-09331-9_9

Sopin, Eduard ; Begishev, Vyacheslav ; Moltchanov, Dmitri et al. / Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems. Information Technologies and Mathematical Modelling. Queueing Theory and Applications - 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Revised Selected Papers. editor / Alexander Dudin ; Anatoly Nazarov ; Alexander Moiseev. Springer, 2022. pp. 105-116 (Communications in Computer and Information Science).

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title = "Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems",

abstract = "The paper considers a network of resource loss systems (ReLS) with random resource requirements and two types of nodes. Customers initially arrive to the first type of nodes, where they receive service for exponentially distributed time. The service of customers can be interrupted. In this case, they are rerouted to the second type of nodes, where they receive service for an exponentially distributed time. Once the service is completed, they return back to the original node and continue its service. Customers require a random volume of limited resources. If there are not enough of unoccupied resources upon the arrival of a customer, then it is considered lost. Similarly, if an accepted customer is rerouted to another node and finds that there are not enough of resources to meet its requirements, then it is also lost. In this paper, we provide an approach to analyze the stationary behavior of the considered system, as well as establish expressions for the new customer loss probability and the accepted customer loss probability. The developed model has a wide range of applications in performance evaluation of fifth generation (5G) New Radio (NR) access networks. To this aim, we investigate the response of the considered service system in detail by revealing critical dependencies and trade-offs between input system parameters and performance measures of interest.",

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Sopin, E, Begishev, V, Moltchanov, D & Samuylov, A 2022, Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems. in A Dudin, A Nazarov & A Moiseev (eds), Information Technologies and Mathematical Modelling. Queueing Theory and Applications - 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Revised Selected Papers. Communications in Computer and Information Science, vol. 1605 CCIS, Springer, pp. 105-116, International Conference on Information Technologies and Mathematical Modelling, Virtual, Online, 1/12/21. https://doi.org/10.1007/978-3-031-09331-9_9

Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems. / Sopin, Eduard; Begishev, Vyacheslav; Moltchanov, Dmitri et al.
Information Technologies and Mathematical Modelling. Queueing Theory and Applications - 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Revised Selected Papers. ed. / Alexander Dudin; Anatoly Nazarov; Alexander Moiseev. Springer, 2022. p. 105-116 (Communications in Computer and Information Science; Vol. 1605 CCIS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Scientific › peer-review

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AU - Begishev, Vyacheslav

AU - Moltchanov, Dmitri

AU - Samuylov, Andrey

N1 - Funding Information: The research was funded by the Russian Science Foundation, project no. 21-79-10139, https://rscf.ru/en/project/21-79-10139/. Publisher Copyright: © 2022, Springer Nature Switzerland AG. JUFOID=53801

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N2 - The paper considers a network of resource loss systems (ReLS) with random resource requirements and two types of nodes. Customers initially arrive to the first type of nodes, where they receive service for exponentially distributed time. The service of customers can be interrupted. In this case, they are rerouted to the second type of nodes, where they receive service for an exponentially distributed time. Once the service is completed, they return back to the original node and continue its service. Customers require a random volume of limited resources. If there are not enough of unoccupied resources upon the arrival of a customer, then it is considered lost. Similarly, if an accepted customer is rerouted to another node and finds that there are not enough of resources to meet its requirements, then it is also lost. In this paper, we provide an approach to analyze the stationary behavior of the considered system, as well as establish expressions for the new customer loss probability and the accepted customer loss probability. The developed model has a wide range of applications in performance evaluation of fifth generation (5G) New Radio (NR) access networks. To this aim, we investigate the response of the considered service system in detail by revealing critical dependencies and trade-offs between input system parameters and performance measures of interest.

AB - The paper considers a network of resource loss systems (ReLS) with random resource requirements and two types of nodes. Customers initially arrive to the first type of nodes, where they receive service for exponentially distributed time. The service of customers can be interrupted. In this case, they are rerouted to the second type of nodes, where they receive service for an exponentially distributed time. Once the service is completed, they return back to the original node and continue its service. Customers require a random volume of limited resources. If there are not enough of unoccupied resources upon the arrival of a customer, then it is considered lost. Similarly, if an accepted customer is rerouted to another node and finds that there are not enough of resources to meet its requirements, then it is also lost. In this paper, we provide an approach to analyze the stationary behavior of the considered system, as well as establish expressions for the new customer loss probability and the accepted customer loss probability. The developed model has a wide range of applications in performance evaluation of fifth generation (5G) New Radio (NR) access networks. To this aim, we investigate the response of the considered service system in detail by revealing critical dependencies and trade-offs between input system parameters and performance measures of interest.

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KW - loss probability

KW - multiconnectivity

KW - queuing network

KW - Resource loss system

KW - wireless networks

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DO - 10.1007/978-3-031-09331-9_9

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SN - 9783031093302

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BT - Information Technologies and Mathematical Modelling. Queueing Theory and Applications - 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Revised Selected Papers

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Sopin E, Begishev V, Moltchanov D , Samuylov A. Evaluation of the New and Accepted Customers Blocking Probabilties in a Network of Resource Loss Systems. In Dudin A, Nazarov A, Moiseev A, editors, Information Technologies and Mathematical Modelling. Queueing Theory and Applications - 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Revised Selected Papers. Springer. 2022. p. 105-116. (Communications in Computer and Information Science). doi: 10.1007/978-3-031-09331-9_9