Systems and Means of Informatics
2024, Volume 34, Issue 4, pp 48-58
DEVELOPMENT OF A CONVOLUTIONAL ALGORITHM FOR CALCULATING THE STATIONARY CHARACTERISTICS OF RESOURCE LOSS SYSTEMS WITH REQUIREMENTS-DEPENDING SERVING TIME
- A. I. Nazarin
- E. S. Sopin
- S. Ya. Shorgin
Abstract
Resource loss systems (ReLS) are often used to analyze and calculate the performance metrics of wireless communication systems. The authors consider a multiserver ReLS with discrete requirements and service times that depend on the volume required resources, which allows one to analyze the efficiency of elastic traffic transmission in wireless networks. The evaluation of probabilistic characteristics for the model is complicated by the need to perform multiple convolutions of resource requirement distributions. To reduce the complexity of the calculations, the paper proposes a convolutional algorithm that allows one to obtain probabilistic measures, such as the loss probability and the average volume of occupied resources, during the calculation of normalization constant.
The numerical analysis of the loss probability and the average volume of occupied resources for discrete distributions of resource requirements is carried out.
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[+] About this article
Title
DEVELOPMENT OF A CONVOLUTIONAL ALGORITHM FOR CALCULATING THE STATIONARY CHARACTERISTICS OF RESOURCE LOSS SYSTEMS WITH REQUIREMENTS-DEPENDING SERVING TIME
Journal
Systems and Means of Informatics
Volume 34, Issue 4, pp 48-58
Cover Date
2024-12-10
DOI
10.14357/08696527240404
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
resource loss system; random requirements; loss probability
Authors
A. I. Nazarin  , E. S. Sopin ,  , and S. Ya. Shorgin
Author Affiliations
Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho- Maklaya Str., Moscow 117198, Russian Federation
Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
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