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

Publikation: Beitrag in Buch/Bericht/KonferenzbandKonferenzbeitragBegutachtung

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.
OriginalspracheEnglisch
TitelAnalytical and Computational Methods in Probability Theory - 1st International Conference, ACMPT 2017, Proceedings
Herausgeber*innenVladimir V. Rykov, Nozer D. Singpurwalla, Andrey M. Zubkov
VerlagSpringer
Seiten265-278
Seitenumfang14
ISBN (Print)978-3-319-71503-2
DOIs
PublikationsstatusVeröffentlicht - 2017

Publikationsreihe

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Band10684 LNCS
ISSN (Print)0302-9743
ISSN (elektronisch)1611-3349

Wissenschaftszweige

  • 101 Mathematik
  • 101014 Numerische Mathematik
  • 101018 Statistik
  • 101019 Stochastik
  • 101024 Wahrscheinlichkeitstheorie

JKU-Schwerpunkte

  • Computation in Informatics and Mathematics
  • TNF Allgemein

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