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

Bara Kim, Jeongsim Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider an (Formula presented.) 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
JournalAnnals of Operations Research
DOIs
Publication statusAccepted/In press - 2015 Aug 25

Keywords

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

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Waiting time distributions in an M/G/1 retrial queue with two classes of customers'. Together they form a unique fingerprint.

  • Cite this