Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant


1 H.No. D-27, 218/3, Aggarsain Vihar (Sarai Pukhta), above old post office building, Palwal, 121102, Haryana, India

2 Department of Mechanical Engineering, YMCA University of Science and Technology, Sec. 6, Faridabad, Haryana, India


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.