Entropy maximization for the busy period of a single server queue

Messaoud Bounkhel, Lotfi Tadj and Ramdane Hedjar

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 23, 8555-8565

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.

Date: 2023
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DOI: 10.1080/03610926.2022.2065301

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