Waiting time distribution in an M / PH / 1 retrial queue

Jeongsim Kim, Bara Kim

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

This paper analyzes the waiting time distribution in the M/PH/1 retrial queue. We give expressions for the Laplace-Stieltjes transform of the waiting time. We then provide a numerical algorithm for calculating the Laplace-Stieltjes transform of the waiting time. Numerical inversion of the Laplace-Stieltjes transforms is used to calculate the waiting time distribution. Numerical results are presented to illustrate our results.

Original languageEnglish
Pages (from-to)286-299
Number of pages14
JournalPerformance Evaluation
Volume70
Issue number4
DOIs
Publication statusPublished - 2013

Keywords

  • Coupling method
  • Laplace-Stieltjes transform
  • M / PH / 1 retrial queue
  • Waiting time distribution

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • Hardware and Architecture
  • Computer Networks and Communications

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