Waiting time distributions in an M/G/1 retrial queue with two classes of customers

Bara Kim, Jeongsim Kim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We consider an M/ G/ 1 retrial queueing system with two classes of customers, in which the service time distributions are different for both classes of customers. When the server is unavailable, an arriving class-1 customer is queued in the queue with infinite capacity, whereas class-2 customer enters the retrial group. In this paper, we are concerned with the analysis of the waiting time distribution. We obtain the joint transform of the waiting time of a class-2 customer and the number of class-2 customers as well as the Laplace–Stieltjes transform of the waiting time of a class-1 customer. We also obtain all the moments of the waiting time distributions of class-1 and class-2 customers.

Original languageEnglish
Pages (from-to)121-134
Number of pages14
JournalAnnals of Operations Research
Volume252
Issue number1
DOIs
Publication statusPublished - 2017 May 1

Keywords

  • Queue length
  • Retrial queue with two classes of customers
  • Transform
  • Waiting time

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

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