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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
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KEYWORDS
Availability, Differential Equations, Markov Process, Probability, Matrix Method
ABSTRACT
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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1 B.S. Dhillon, and C.Singh, “Engineering Reliability New Techniques and Applications”, John Wiley and sons. , 1981
2 D.Kumar, and J.Singh, “Availability of a Washing System in the Paper Industry”, Microelectron. Reliability, Vol. 29, pp.775-778, 1989
3 J.Singh, , P.C.Pandey and D.Kumar, “Designing for Reliable Operation of Urea Synthesis in the Fertilizer Industry”, Microelectron. Reliability, Vol. 30, pp.1021-1024.,1990
4 B.Dayal and J.Singh, “Reliability analysis of a system in a fluctuating envioronment”,Microelectron Reliability,Vol.32,pp.601-603,1992.
5 D.Kumar, J.Singh, and P.C.Pandey “Availability of the Crystallization System in the Sugar Industry under Common – Cause Failure”, IEEE Transactions on Reliability, Vol. 41, No.1, pp 85-91.,1992
6 M.Zhao, “Availability for Repairable components and series systems”,IEEE Transactions On Reliability,Vol-43,No.2,1994
7 Q. Michelson , “Use of Reliability Technology in The Process Industry”,Reliability Engineering and system safety ,60,pp.179-181,1998
8 J.Singh, and P Mahajan, “Reliability of Utensils Manufacturing Plant – A Case Study”, Opsearch, Vol. 36, No.3, pp 260-269.,1999.
9 M.Güines and I. Deveci, “ Reliability of service system and an application in student office”,International Journal of Quality & Reliability Management, Vol.19,pp.206-211,2002
10 G. Habchi , “An improved method of reliability assessment for suspended tests”,International Journal of Quality & Reliability Management ,vol.19,pp.454-470,2002
11 Madhu Jain,“N-Policy for redundant repairable system with additional repairmen”,Opsearch, vol 4, 97-114,2003
12 P Gupta., A.K.Lal, R.K.Sharma and J.Singh “Behavioral Study of the Cement manufacturing Plant – A Numerical Approach” , Journal of Mathematics and Systems Sciences, Vol. 1, No. 1,pp.50-69.,2005
13 A.D.Kiureghian and O.D.Ditlevson, “Availability, Reliability & downtime of system with repairable components”, Reliability Engineering and System Safety, Volume 92, Issue 2, pp. 66-72.,2007
14 Jai Singh Gurjar,“Reliability Technology – Theory And Applications”; I.K. International Publishing House Pvt. Ltd. New Delhi (I ndia).,2007
15 J.Singh, K Kumar,A.Sharma, “Availability Evaluation of an Automobile System”,Journal of mathematics and system sciences, Vol. 4, No.2 ,pp.95-102.,2008
16 P.C Tewari, D.Kumar, S.Kajal, R.Khanduja,"Decision support system for the Crystallization unit of a sugar plant", Icfai J. of Science and Technology, Vol-4, No.3,pp.7-16.,2008
17 Enrio Zio and Jussi K.Vaurio “Maitenance modeling and applications”,Reliability Enginering And System safety,vol-94,Issue 1,Page 1.
18 Won-Hee Kang,Junho Song and Paolo Gardoni , “Matrix –based system reliability method and
Mr. Deepika Garg
- India
deepikanit@yahoo.co.in
Mr. Kuldeep Kumar
- India
Mr. Jai Singh
- India