Sensitivity analysis of the optimal management policy for a queuing system with a removable and non-reliable server

W.l. Pearn, Jau Chuan Ke, Ying Chung Chang

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

The management policy of an M/G/1 queue with a single removable and non-reliable server is considered. The decision-maker can turn the single server on at any arrival epoch or off at any service completion. It is assumed that the server breaks down according to a Poisson process and the repair time has a general distribution. Arrivals form a Poisson process and service times are generally distributed. In this paper, we consider a practical problem applying such a model. We use the analytic results of the queueing model and apply an efficient Matlab program to calculate the optimal threshold of management policy and some system characteristics. Analytical results for sensitivity analysis are obtained. We carry out extensive numerical computations for illustration purposes. An application example is presented to display how the Matlab program could be used. The research is useful to the analyst for making reliable decisions to manage the referred queueing system.

Original languageEnglish
Pages (from-to)87-99
Number of pages13
JournalComputers and Industrial Engineering
Volume46
Issue number1
DOIs
StatePublished - 1 Mar 2004

Keywords

  • Analytical results
  • Management policy
  • Non-reliable
  • Sensitivity analysis

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