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Availability Analysis of A Cattle Feed Plant Using Matrix Method

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Author(s): Deepika Garg | Jai Singh | Kuldeep Kumar

Journal: International Journal of Engineering
ISSN 1985-2312

Volume: 3;
Issue: 2;
Start page: 201;
Date: 2009;
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Keywords: Availability | Differential Equations | Markov Process | Matrix Method.

ABSTRACT
A matrix method is used to estimate the probabilities of complex system events by simplematrix calculation. Unlike existing methods, whose complexity depends highly on the systemevents, 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 performancein terms of availability with respect to time.Purpose- The purpose of paper is to compute availability of cattle feed plant .A Cattle feedplant consists of seven sub-systems working in series. Two subsystems namely mixer andpalletiser are supported by stand-by units having perfect switch over devices and remainingfive subsystems are subjected to major failure.Methodology/approach- The mathematical model of Cattle feed plant has been developedusing Markov birth – death Process.The differential equations are solved using matrix methodand 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 andquality of cattle feed. To ensure the system performance throughout its service life, it isnecessary to set up proper maintenance planning and control which can be done afterstudying the variation of availability with respect to time.
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