Parveen Kumar
Dr. P.C. Tewari
Abstract
The paper deals with the Performance Modeling and Time Dependent System Availability (TDSA) analysis of rice finishing and grading system of a rice milling plant using Markovian approach. The system consists of six subsystems namely Abrasive Whitener, Rotary Shifter, Sizer, Polisher, Sortex and Grader which are subjected to failures. A performance model of the concerned system has been developed with Markov birth-death process and first order Chapman-Kolmogorov differential equations are derived on the basis of probabilistic approach using transition diagram taking assumptions. These equations are further solved using adaptive step size control Runge-Kuttamethod using FORTRAN program to compute the TDSA. Mean Time Between Failures(MTBF) is calculated using Simpson's 3/8 rule. The computations are done for a year with various combinations of failures and repair rates of different subsystems. The results are presented and discussed with the plant personnel to identify the critical subsystem and decide the futuristic repair priorities from maintenance view point
Keywords- Time Dependent System Availability, Markov Process, Runge-Kutta,Rice Industry