Research Article Open Access

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

Kuldeep Kumar, Jai Singh and Pawan Kumar

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.

Journal of Mathematics and Statistics
Volume 5 No. 1, 2009, 65-71

DOI: https://doi.org/10.3844/jmssp.2009.65.71

Submitted On: 6 November 2008 Published On: 31 March 2009

How to Cite: 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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Keywords

  • Manufacturing system
  • modeling
  • markov processes
  • fuzzy reliability