Mathematical modeling and fuzzy availability analysis of skim milk powder system of a dairy plant

Anil Kr. Aggarwal (), Sanjeev Kumar () and Vikram Singh ()
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Anil Kr. Aggarwal: Pt. L.R. College of Technology (Technical campus)
Sanjeev Kumar: YMCA University of Science and Technology
Vikram Singh: YMCA University of Science and Technology

International Journal of System Assurance Engineering and Management, 2016, vol. 7, issue 1, No 28, 322-334

Abstract: Abstract Conventional reliability analysis relies on the probability theory and the binary states i.e. success or failed state of a component or system only. This type of reliability analysis amplifies the uncertainty in computation of system reliability. To overcome this problem, the concept of fuzzy reliability has been used in the evaluation of reliability of the system and the binary states i.e. success and failure of a component or system is viewed in a fuzzy way. Mathematical formulation of the fault-tolerant skim milk powder system is carried out using mnemonic rule and the governing Chapman–Kolmogorov differential equations are solved with fourth order Runge–Kutta method. In this paper, the effect of failure rate, repair rate of each subsystem and coverage factor on fuzzy availability of skim milk powder system is analyzed.

Keywords: Coverage factor; Chapman–Kolmogorov differential equations; Runge–Kutta method; Fuzzy availability; Fault-tolerant system (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13198-014-0252-3

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