Mathematical Modeling and Availability Analysis of a Crushing System Using Markov Process

This paper deals with the mathematical modeling and availability of a crushing system of a sugar plant. Crushing system consists of three subsystems with three possible states: full working state, reduced capacity working and failure. The failure and working states of all subsystems are assumed to be constant. Problem formulation is done by Markov birth-death process, while the operational behavior of the system is represented by the transition diagram. The model has been developed by considering some assumptions. The data in the feasible range has been selected from a survey of sugar plant and the effect of each subsystem on the system availability is tabulated in the form of matrices, which provide various availability levels for different combinations of failure and repair rates of all subsystems.