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Availability Analysis of a Cattle Feed Plant using Matrix Method
Deepika Garg, Kuldeep Kumar, Jai Singh
Pages - 201 - 219     |    Revised - 05-05-2009     |    Published - 18-05-2009
Volume - 3   Issue - 2    |    Publication Date - April 2009  Table of Contents
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.
CITED BY (11)  
1 Aggarwal, A. K., Kumar, S., & Singh, V. (2016). Reliability and availability analysis of the serial processes in skim milk powder system of a dairy plant: a case study. International Journal of Industrial and Systems Engineering, 22(1), 36-62.
2 Aggarwal, A. K., Kumar, S., Singh, V., & Garg, T. K. (2015). Markov modeling and reliability analysis of urea synthesis system of a fertilizer plant. Journal of Industrial Engineering International, 11(1), 1-14.
3 Upasana, D., Gupta, N., & Goyal, Y. K. Availability Of A Complex System Using MATLAB & Comparison.
4 December, P. A. M. L. pure and applied mathematics letters.
5 Agarwal, S. C. (2011). Use of boolean function technique to evaluate reliability of a methane gas plant’s pipeline. Bulletin of Pure & Applied Sciences-Mathematics and Statistics, 30(1), 1-10.
6 Garg, D., Kumar, K., & Singh, J. (2010). Reliability Evaluation and Decision Support System of a Pharmaceutical Plant. IUP Journal of Science & Technology, 6(3).
7 Garg, D., Kumar, K., & Singh, J. reliability evaluation and decision support system of a tab manufacturing plant.
8 Garg, D., Kumar, K., & Sigh, J. (2010). Decision support system of a tab manufacturing plant. Journal of Mechanical Engineering, 41(1), 71-79.
9 Garg, D., & Kumar, K. (2009). Matrix-Based System Reliability Method and Its Application to Rice Plant. IUP Journal of Computational Mathematics, 2(4).
10 Garg, D., Kumar, K., & Singh, J. Matrix based system reliability method and application to Tab Manufacturing Plant. In International Conference on Quality, Reliability and Infocom Technology (ICQRIT),(Dec. 2009) (pp. 18-20).
11 Garg, D., & Kumar, K. (2009). Reliability Analysis of Pharmaceutical Plant Using Matlab-Tool. International Journal of Electronic Engineering Research, 1(2), 127-133.
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Mr. Deepika Garg
- India
Mr. Kuldeep Kumar
- India
Mr. Jai Singh
- India

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