RELIABILITY MODELING AND STOCHASTIC EVALUATION OF A MACHINE OF VARIOUS UNITS WITH IMMEDIATE REPAIR OF FAILED UNIT

This article discusses the design reliability and quality of dairy products. Reliability and stochastic analysis of a dairy plant divided into two units using the regenerative method. At startup time, both units are in active mode. If one of the units fails, the system remains in active mode but goes into a reduced state. If both units fail, the system enters an invalid state. The distribution of the repair time is arbitrary in this system, whereas the malfunctioning time is exponentially distributed. With the data gathered from the milk plant, we assess average time to system failure, availability, busy time, and profitability through a mathematical analysis in this work that makes use of the Laplace transform, semi-Markov process, and regenerative point. Consequently, the conclusion of this paper helps plant managers make timely maintenance decisions and enhance the system’s overall performance.

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Publication Details

Journal
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Published
2024-12-12
DOI
https://doi.org/10.26782/jmcms.2024.12.00010
Primary Topic
Management and Optimization Techniques
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article
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article

RELIABILITY MODELING AND STOCHASTIC EVALUATION OF A MACHINE OF VARIOUS UNITS WITH IMMEDIATE REPAIR OF FAILED UNIT

Umar Muhammad Modibbo, Ritu Rani, Shakuntla Singla, Diksha Mangla
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Management and Optimization Techniques
article

RELIABILITY MODELING AND STOCHASTIC EVALUATION OF A MACHINE OF VARIOUS UNITS WITH IMMEDIATE REPAIR OF FAILED UNIT

Umar Muhammad Modibbo, Ritu Rani, Shakuntla Singla, Diksha Mangla
article en

Abstract

This article discusses the design reliability and quality of dairy products. Reliability and stochastic analysis of a dairy plant divided into two units using the regenerative method. At startup time, both units are in active mode. If one of the units fails, the system remains in active mode but goes into a reduced state. If both units fail, the system enters an invalid state. The distribution of the repair time is arbitrary in this system, whereas the malfunctioning time is exponentially distributed. With the data gathered from the milk plant, we assess average time to system failure, availability, busy time, and profitability through a mathematical analysis in this work that makes use of the Laplace transform, semi-Markov process, and regenerative point. Consequently, the conclusion of this paper helps plant managers make timely maintenance decisions and enhance the system’s overall performance.

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCESVol. 19(12)
Openalex Percentile: Top 59%
Management and Optimization Techniques
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