Mathematical Modeling to Analyse the Reliability of the Cattle Feed Plant

Abstract

Modelling of the system and reliability analysis is the purpose of this paper, to analysis the reliability of cattle feed plant by exploitation Mathematica underneath expressed conditions. CAS Mathematica helps to analysed the reliability for different failure and repair rates in shorter time period along with probability of each state and also with accuracy so rectify the chances of error. The cattle feed plant consists of seven units which are arranged either in series or parallel combination. Two units failing through reduced state and remaining of five units failing directly. The model is regenerate into set of differential equations by exploitation chapman – Kolmogorov differential equations. These first order differential equations are then solved to analyse the reliability of system. Graphical analysis of reliability is additionally studied.