Stationary distribution of queue length in G / M / 1 queue with two-stage service policy

Sunggon Kim, Jongwoo Kim, Eui Yong Lee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We consider a G / M / 1 queue with two-stage service policy. The server starts to serve with rate of μ1 customers per unit time until the number of customers in the system reaches λ. At this moment, the service rate is changed to that of μ2 customers per unit time and this rate continues until the system is empty. We obtain the stationary distribution of the number of customers in the system.

Original languageEnglish
Pages (from-to)467-480
Number of pages14
JournalMathematical Methods of Operations Research
Volume64
Issue number3
DOIs
StatePublished - Dec 2006

Keywords

  • G / M / 1 queue
  • Number of customers
  • Stationary distribution
  • Two-stage service policy

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