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Entropy maximization for the busy period of a single server queue

Author

Listed:
  • Messaoud Bounkhel
  • Lotfi Tadj
  • Ramdane Hedjar

Abstract

This article applies the maximum entropy principle to determine the probability density function of the delayed busy period in an M/G/1 type queueing system with setup time, two phases of service, Bernoulli vacation, N-policy, and server breakdowns. Numerical illustrations show that the accuracy of the estimated probability density function depends on the type of information fed to the method.

Suggested Citation

  • Messaoud Bounkhel & Lotfi Tadj & Ramdane Hedjar, 2023. "Entropy maximization for the busy period of a single server queue," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(23), pages 8555-8565, December.
  • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:23:p:8555-8565
    DOI: 10.1080/03610926.2022.2065301
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