Fuzzy Reliability and Fuzzy Availability of the Serial Process in Butter-Oil Processing Plant
Kuldeep Kumar, Jai Singh & Pawan Kumar
Journal of Mathematics and Statistics, Volume 5, Issue 1, pp. 65–71 · doi.org/10.3844/jmssp.2009.65.71
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.
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Kumar, K., Singh, J. & Kumar, P. (2009). Fuzzy Reliability and Fuzzy Availability of the Serial Process in Butter-Oil Processing Plant . Journal of Mathematics and Statistics, 5(1), 65–71. https://doi.org/10.3844/jmssp.2009.65.71
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