Comparative analysis of a randomized N-policy queue: An improved maximum entropy method

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

*Corresponding author for this work

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

We analyze a single removable and unreliable server in an M/G/1 queueing system operating under the 〈p, N〉-policy. As soon as the system size is greater than N, turn the server on with probability p and leave the server off with probability (1 - p). All arriving customers demand the first essential service, where only some of them demand the second optional service. He needs a startup time before providing first essential service until there are no customers in the system. The server is subject to break down according to a Poisson process and his repair time obeys a general distribution. In this queueing system, the steady-state probabilities cannot be derived explicitly. Thus, we employ an improved maximum entropy method with several well-known constraints to estimate the probability distributions of system size and the expected waiting time in the system. By a comparative analysis between the exact and approximate results, we may demonstrate that the improved maximum entropy method is accurate enough for practical purpose, and it is a useful method for solving complex queueing systems.

Original languageEnglish
Pages (from-to)9461-9471
Number of pages11
JournalExpert Systems with Applications
Volume38
Issue number8
DOIs
StatePublished - 1 Aug 2011

Keywords

  • 〈p, N〉-policy
  • Comparative analysis
  • Improved maximum entropy
  • Second optional service
  • Sever breakdowns
  • Startup

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