On the analysis of a resource loss system with the waiting buffer

In this paper we consider a multi-server model in terms of a resource loss system with the waiting buffer and the single type of resources. A customer accepted for servicing occupies a random amount of resources with described distribution functions. Based on the assumptions of a Poisson arrival process and exponential service times, we analytically find the the system of equilibrium equations, solving which we get the stationary probabilities, loss probability, the average waiting time and the average number of customers.

Authors
Publisher
Российский университет дружбы народов (РУДН)
Language
English
Pages
206-211
Status
Published
Year
2022
Organizations
  • 1 RUDN University
  • 2 Institute of Informatics Problems, Federal Research Center Computer Science and Control of Russian Academy of Sciences
Keywords
queuing system; resource loss system; multiservice network; queuing system with resources; random amount of resources; arithmetic probability distribution
Date of creation
28.12.2023
Date of change
28.12.2023
Short link
https://repository.rudn.ru/en/records/article/record/97620/
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