Entropy maximization for the busy period of a single server queue

被引：0

作者：

Bounkhel, Messaoud ^{[1
]}

Tadj, Lotfi ^{[2
]}

Hedjar, Ramdane ^{[3
]}

机构：

[1] King Saud Univ, Dept Math, Riyadh 11451, Saudi Arabia

[2] Alfaisal Univ, Dept Ind Engn, Riyadh, Saudi Arabia

[3] King Saud Univ, Dept Comp Engn, Riyadh, Saudi Arabia

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 23期

关键词：

Unreliable server; two-phase service; Bernoulli vacation schedule; setup time; N-policy; delaying repair; busy period; maximum entropy; N-POLICY; SYSTEM;

D O I：

10.1080/03610926.2022.2065301

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：8555 / 8565

页数：11

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