PERFORMANCE ANALYSIS OF A FLUID FLOW SYSTEM MODULATED BY A SINGLE SERVER QUEUE PRONE TO CATASTROPHIC FAILURES AND REPAIRS

被引：3

作者：

Kumar, B. Krishna ^{[1
,2
]}

Krishnan, R. Navaneetha ^{[2
]}

Sankar, R. ^{[2
]}

Rukmani, R. ^{[3
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Div Math, Chennai 600127, India

[2] Anna Univ, Coll Engn, Dept Math, Chennai 600025, India

[3] Pachaiyappas Coll, Dept Math, Chennai 600030, India

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2023年 / 19卷 / 08期

关键词：

Fluid flow queue; catastrophe; repair; stationary distribution; contin-ued fraction; buffer content; flow transfer time; MODEL-DRIVEN; STATIONARY ANALYSIS;

D O I：

10.3934/jimo.2022185

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article deals with a new class of fluid flow queue regulated by an M/M/1 queueing system in the presence of active catastrophic failures and subsequent repairs of the server. The distribution of the stationary buffer content is determined in terms of modified Bessel function of first kind. Besides, an explicit closed-form analytical expression for the probability density function of the fluid level in the stationary regime is derived in an elegant manner. Some important and essential performance measures are obtained. Finally, numerical results are provided to illustrate the behaviour of the buffer content distribution and the performance measures for the proposed fluid flow queueing model.

引用

页码：5559 / 5578

页数：20

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