EXPLORE PUBLICATIONS BY COUNTRIES

Availability, Differential Equations, Markov Process, Probability, Matrix Method

A matrix method is used to estimate the probabilities of complex system events by simple matrix calculation. Unlike existing methods, whose complexity depends highly on the system events, the matrix method describes the general system event in a simple matrix form. Therefore, the method provides an easy way to estimate the variation in system performance in terms of availability with respect to time. Purpose- The purpose of paper is to compute availability of cattle feed plant .A Cattle feed plant consists of seven sub-systems working in series. Two subsystems namely mixer and palletiser are supported by stand-by units having perfect switch over devices and remaining five subsystems are subjected to major failure. Methodology/approach- The mathematical model of Cattle feed plant has been developed using Markov birth – death Process.The differential equations are solved using matrix method and a C-program is developed to study the variation of availability with respect to time. Findings- The study of analysis of availability can help in increasing the production and quality of cattle feed. To ensure the system performance throughout its service life, it is necessary to set up proper maintenance planning and control which can be done after studying the variation of availability with respect to time.