First two moment entropy maximisation approach for M/G/1 queues with second optional service and server breakdowns

Dong Yuh Yang*, Kuo Hsiung Wang, W.l. Pearn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We consider the M/G/1 queue with second optional service and server breakdowns. A customer leaves the system either after the first required service with probability (1 - θ) or immediately goes for a second optional service with probability θ after the completion of the first required service. For this queueing model, it is rather difficult to obtain the steady-sate probability explicitly. We apply the maximum entropy approach to approximate the system size distributions by using the first and second moments of the system size. Accuracy comparisons between the two approximate solutions are conducted. Numerical results indicate that using the first moment approach is more accurate than using the second moment approach.

Original languageEnglish
Pages (from-to)310-331
Number of pages22
JournalInternational Journal of Services Operations and Informatics
Volume6
Issue number4
DOIs
StatePublished - 1 Dec 2011

Keywords

  • Accuracy comparison
  • Maximum entropy principle
  • Second optional service
  • Server breakdowns

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