Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant
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- 作者：Anil Kr. Aggarwal ; Sanjeev Kumar…
- 关键词：Markov birth–death process ; Fuzzy availability ; Reliability ; Crystallization system ; Reliability ; Fault ; tolerant system
- 刊名：Journal of Industrial Engineering International
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：13
- 期：1
- 页码：47-58
- 全文大小：809KB
- 刊物主题：Industrial and Production Engineering; Quality Control, Reliability, Safety and Risk; Facility Management; Engineering Economics, Organization, Logistics, Marketing; Appl.Mathematics/Computational Met
- 出版者：Springer Berlin Heidelberg
- ISSN：2251-712X
- 卷排序：13
文摘
The binary states, i.e., success or failed state assumptions used in conventional reliability are inappropriate for reliability analysis of complex industrial systems due to lack of sufficient probabilistic information. For large complex systems, the uncertainty of each individual parameter enhances the uncertainty of the system reliability. In this paper, the concept of fuzzy reliability has been used for reliability analysis of the system, and the effect of coverage factor, failure and repair rates of subsystems on fuzzy availability for fault-tolerant crystallization system of sugar plant is analyzed. Mathematical modeling of the system is carried out using the mnemonic rule to derive Chapman–Kolmogorov differential equations. These governing differential equations are solved with Runge–Kutta fourth-order method.