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Sensitivity analysis of reliability and performability measures for a multi-server queueing system with constant retrial rate

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Abstract

The paper deals with the sensitivity analysis of reliability and performance measures for a multi-server queueing system where customers at the head of the queue retries to occupy a server in exponentially distributed time. The servers can differ in service and reliability characteristics. We have proved the insensitivity of the mean number of customers in the system to the type of allocation policy for equal service rates and confirmed a weak sensitivity in a general case of unequal service rates. A further sensitivity analysis is conducted to investigate the effect of changes in system parameters on a reliability function, a distribution of the number of failures of a server and a maximum queue length during a life time.
Original languageEnglish
Title of host publicationAnalytical and Computational Methods in Probability Theory - 1st International Conference, ACMPT 2017, Proceedings
EditorsVladimir V. Rykov, Nozer D. Singpurwalla, Andrey M. Zubkov
PublisherSpringer
Pages265-278
Number of pages14
ISBN (Print)978-3-319-71503-2
DOIs
Publication statusPublished - 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10684 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Fields of science

  • 101 Mathematics
  • 101014 Numerical mathematics
  • 101018 Statistics
  • 101019 Stochastics
  • 101024 Probability theory

JKU Focus areas

  • Computation in Informatics and Mathematics
  • Engineering and Natural Sciences (in general)

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