Abstract
Problem statement: The purpose of this study was to compute fuzzy reliability and fuzzy availability of the serial process in butter-oil processing plant for various choices of failure and repair rates of sub-system. This plant consists of eight sub-systems out of which two are supported by stand-by units with perfect switch over devices and considered that these two sub-systems never fail. The effect of coverage factor on the fuzzy availability also studied. Approach: In this study the chapman-Kolmogorov differential equations were formed using mnemonic rule from the transition diagram of the butter-oil processing plant. These equations were solved for steady state recursively and results were obtained by computer program. Results: Result in the study analyzed fuzzy availability for various values of system coverage factor, failure and repair rates. Industrial implications of the results also briefly discussed. Conclusion: The findings in the study suggested that the management of butter-oil processing plant’s sensitive sub-system is important to improve its performance.
Highlights
Conventional reliability theory considers the assumptions of the probability theory and the binary states of a component/system as working or failed
Fuzzy reliability refers to profust reliability
We propose to solve the governing differential equations of the system to find the profust reliability and fuzzy availability of the serial processes in butter-oil processing plant using both failure and repair rates
Summary
Conventional reliability theory considers the assumptions of the probability theory and the binary states of a component/system as working or failed. There has been tremendous growth in the area of fuzzy set theory[7]. This has changed the basic scenario in reliability and concerned theories. The system’s operating and failed states are described by fuzzy states. The system’s failure or success is viewed in a fuzzy way. Many researchers applied this concept on various systems. Zuang[4] presented a method of reliability analysis in the presence of fuzziness attached to operating time. We propose to solve the governing differential equations of the system to find the profust reliability and fuzzy availability of the serial processes in butter-oil processing plant using both failure and repair rates. The major motivation of this study is to bring fuzzy reliability theory into a real-world applicable maintenance problem
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