Stochastic Lists of Multiple Resources

In this article, we introduce the concept of stochastic lists and pseudo-lists and apply them to analyze a loss system with Poisson arrivals, exponential service times, and multiple positive and negative resources. For this system, we prove that the total volumes of resources in the stochastic list and pseudo-list have the same stationary distribution. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Authors
Publisher
Springer New York LLC
Language
English
Pages
353-357
Status
Published
Volume
371
Year
2021
Organizations
  • 1 Department of Applied Informatics and Probability, Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya St. 6, Moscow, 117198, Russian Federation
  • 2 Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Vavilov Street 44-2, Moscow, 119333, Russian Federation
  • 3 Service Innovation Research Institute, Annankatu 8A, Helsinki, 00120, Finland
Keywords
Multi-resource loss system; Negative customers; Stochastic list
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76304/
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