Resource Queueing System GI-2 with Parallel Service of Multiple Paired Customers

Tatiana Bushkova, Ekaterina Pavlova, Svetlana Rozhkova, Svetlana Moiseeva, Michele Pagano

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The article proposes the method for investigating the heterogeneous queuing system of type with resource splitting and parallel service. Each customer is characterized by a random total capacity which is independent of the service time. Based on the asymptotic analysis, it is possible to deduce the expressions for characteristic function of the process of the total amount of resource in two-service unit system. The mathematical models of this type could be of great interest in terms of application in telecommunication, for example, for modeling wireless network, enhancing the existing and designing new ones.

Original languageEnglish
Title of host publicationInformation Technologies and Mathematical Modelling. Queueing Theory and Applications- 18th International Conference, ITMM 2019, Named after A.F. Terpugov, Revised Selected Papers
EditorsAlexander Dudin, Anatoly Nazarov, Alexander Moiseev
PublisherSpringer Paris
Pages136-149
Number of pages14
ISBN (Print)9783030333874
DOIs
Publication statusPublished - 2019
Event18th International Conference on Information Technologies and Mathematical Modelling, ITMM 2019 - Saratov, Russian Federation
Duration: 26 Jun 201930 Jun 2019

Publication series

NameCommunications in Computer and Information Science
Volume1109
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

Conference

Conference18th International Conference on Information Technologies and Mathematical Modelling, ITMM 2019
CountryRussian Federation
CitySaratov
Period26.6.1930.6.19

Keywords

  • Infinite server
  • Markov modulated Poisson process
  • Paired requests

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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