Journal of Mathematics and Statistics

Fuzzy Reliability and Fuzzy Availability of the Serial Process in Butter-Oil Processing Plant

Kuldeep Kumar, Jai Singh and Pawan Kumar

DOI : 10.3844/jmssp.2009.65.71

Journal of Mathematics and Statistics

Volume 5, Issue 1

Pages 65-71


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.


© 2009 Kuldeep Kumar, Jai Singh and Pawan Kumar. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.