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International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749 . Open Access


Reliability Modeling of a Food Industrial System with two Types of Repair Persons wherein Demand is Season Dependent

Reliability Modeling of a Food Industrial System with two Types of Repair Persons wherein Demand is Season Dependent

Monika
Department of Mathematics, University Institute of Engineering & Technology, Maharshi Dayanand University, Rohtak, Haryana, India.

Garima Chopra
Department of Mathematics, University Institute of Engineering & Technology, Maharshi Dayanand University, Rohtak, Haryana, India.

DOI https://doi.org/10.33889/IJMEMS.2022.7.6.057

Received on August 17, 2022
  ;
Accepted on October 26, 2022

Abstract

The present study pertains to developing a reliability model concerning a food industrial system that runs throughout the month except for Sundays. There are two types of repair persons engaged with the system, one known as operator while another is fitter. The operator is responsible for minor repairs, while the fitter is responsible for major repairs. It is also noticed that the operator is the first person who attends the failed unit in case of a major failure. If the operator is found incapable of repairing the unit within some patience time, then the fitter is called. While gathering the actual month-wise data of the plant, two types of seasons, namely normal and festival seasons, have been recorded. The festival season is from July to November, while the normal season is from December to June, based on consumer demand. During the months of the normal season, the system is shut down for a few days as the demand gets accomplished before the month ends. However, during the festival season, the system has to be kept operational throughout the month to fulfill the high demand for the product. The semi-Markov process and regenerative point technique are used to assess the reliability measures, namely mean time to system failure (MTSF), system availability in both seasons, expected busy period of the repair persons, and expected downtime of the system. The overall profitability of the system is also demonstrated by Graphical interpretation.

Keywords- Festival season, Patience time, Regenerative point technique, MTSF, Expected downtime.

Citation

Monika,& Chopra, G. (2022). Reliability Modeling of a Food Industrial System with two Types of Repair Persons wherein Demand is Season Dependent. International Journal of Mathematical, Engineering and Management Sciences, 7(6), 918-937. https://doi.org/10.33889/IJMEMS.2022.7.6.057.