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314307

Profit Analysis of Two-Dissimilar-Unit Cold Standby System with Three States under Human Failure

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Last updated: 05 Jan 2025

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Abstract

This paper deals with the Mean Time to System Failure (MTSF), steady-state availability and profit analysis of a two-dissimilar-unit cold standby system with considering human failure. The proposed system has been investigated under the assumption that each unit works in three different modes: normal, partial failure and total failure. The system suffers two types of failures: via; unit failure and human failure. Failure and repair times are assumed to have exponential distributions. Using linear first order differential equations, the system characteristics are obtained. Finally a numerical example is presented to illustrate the theoretical results.  

DOI

10.21608/esju.2011.314307

Keywords

Reliability, Mean Time to System Failure (MTSF), Steady, State Availability, Busy period, Profit Function, Failure and Repair Time, Linear First Order Differential Equations

Volume

55

Article Issue

1

Related Issue

43106

Issue Date

2011-06-01

Publish Date

2011-06-01

Page Start

1

Page End

9

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314307.html

Detail API

https://esju.journals.ekb.eg/service?article_code=314307

Order

1

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Profit Analysis of Two-Dissimilar-Unit Cold Standby System with Three States under Human Failure

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Article

Created At

28 Dec 2024