Abstract

Problem statement: Many authors have studied the cost analysis of a two-unit cold standby redundant system with two types of unit failure, but no attention was paid to the reliability of a system involving common-cause failures and preventive maintenance. Question was raised whether the preventive maintenance would be effective on the reliability and performance of the system. Determine the efficacy of preventive maintenance on the reliability and performance of the system. Approach: In this study, the Mean Time to System Failure (MTSF), steady state availability and the profit function of a two-unit cold standby repairable redundant system involving common-cause failures and preventive maintenance were discussed. We analyzed the system by using Kolmogorov's forward equations method. Some particular cases have also been discussed graphically. Results: The results indicated that the system with preventive maintenance is better than the system without preventive maintenance. Conclusion: These results indicated that the better maintenance of parts of the system originated better reliability and performance of the system.

Highlights

  • Problem statement: Many authors have studied the cost analysis of a two-unit cold standby redundant system with two types of unit failure, but no attention was paid to the reliability of a system involving common-cause failures and preventive maintenance

  • The purpose of this study is to study the cost analysis of a two-unit cold standby redundant system with two types of unit failure involving common cause

  • The Mean Time to System Failure (MTSF), the steady-state availability, the steady state busy period and profit function of the system are obtained for both systems with and without preventive maintenance

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Summary

Introduction

Problem statement: Many authors have studied the cost analysis of a two-unit cold standby redundant system with two types of unit failure, but no attention was paid to the reliability of a system involving common-cause failures and preventive maintenance. Approach: In this study, the Mean Time to System Failure (MTSF), steady state availability and the profit function of a two-unit cold standby repairable redundant system involving common-cause failures and preventive maintenance were discussed. Conclusion: These results indicated that the better maintenance of parts of the system originated better reliability and performance of the system. The availability, Mean Time to System Failure (MTSF) and cost function are studied. Earlier researchers[1,2,3] have studied the cost analysis of two unit redundant systems with two types of repair. Evaluate reliability and availability of two different systems by using linear first order differential equations

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