Resource QS with the Requests Duplication at the Second Phase and Renewal Arrival Process

In this paper, a resource queueing system with renewal arrival process, arbitrary service time distribution and requests duplication at the second phase is considered. In more detail, we apply the dynamic screening method to obtain the asymptotic expression for the stationary probability distribution of the total amount of occupied resource in the system. Finally, we verify the goodness of the obtained Gaussian approximation by means of discrete event simulation.

Authors
Galileyskaya A.1 , Lisovskaya E. 2 , Pagano M.3 , Moiseeva S. 1
Publisher
Институт проблем управления им. В.А. Трапезникова РАН
Language
English
Pages
25-32
Status
Published
Year
2020
Organizations
  • 1 National Research Tomsk State University
  • 2 Peoples' Friendship University of Russia (RUDN University)
  • 3 University of Pisa
Keywords
queueing system; arbitrary service time; copying of requirement; characteristic function; asymptotic analysis method
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/90278/
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