Probability Analysis of a Complex System Working in a Sugar Mill with Repair Equipment Failure and Correlated Life Time
Keywords:Transition Probabilities, MTSF, Availability, Busy Period, Profit Function
The aim of this paper is to present a reliability analysis of a complex (SJP) system in a sugar mill with the assumption that repair equipment may also fail during the repair. This paper considers the analysis of a three-unit system with one big unit and two small identical units of a SJP System in a sugar mill. Failure and Repair times of each unit are assumed to be correlated. Using regenerative point technique various reliability characteristics are obtained which are useful to system designers and industrial managers. Graphical behaviors of MTSF and profit function have also been studied.
Amir Azaron ,Hideki Katagiri ,Kosuke Kato, Masatoshi Sakawa, (2005) “Reliability Evaluation and Optimization Of Dissimilar-Component Cold-Standby Redundant Systems”, Journal of the Operations Research Society of Japan , Vol. 48, No. 1, 71-8.
Attahiru Sule Alfa WL and Zhao, Y Q (1998),“Stochastic analysis of a repairable system with three units and repair facilities” Microelectron. Reliab., 38(4), (1998), 585-595. http://dx.doi.org/10.1016/S0026-2714(97)00204-7
B. Parasher, and G.Taneja,. (2007) , Reliability and profit evaluation of a standby system based on a master-slave concept and two types of repair facilities‘. IEEE Trans. Reliabil., 56: pp.534-539. http://dx.doi.org/10.1109/TR.2007.903151
Chao, A. and Hwang, W. D.,(1983) “Bayes estimation of reliability for special k-out-of-m:G systems”, IEEE Transactions on Reliability, R-33, 246-249.
G.Taneja, V.K.Tyagi, and P. Bhardwaj, (2004) ‚Profit analysis of a single unit programmable logic controller (PLC)‘, “Pure and Applied Mathematics-ka Sciences”, vol. LX no (1-2), pp 55-71, 2004.
G.Taneja, (2005)‚Reliability and profit analysis of a system with PLC used as hot standby’. Proc.INCRESE Reliability Engineering Centre, IIT, Kharagpur India, pp: 455-464.(Conference proceedings).
Goyal, A. and D.V. Gulshan Taneja, (2009). Singh analysis of a 2-unit cold standby system working in a sugar mill with operating and rest periods. Caledon. J. Eng., 5: 1-5.
Khaled, M.E.S. and Mohammed, S.E.S,.(2005) ‚Profit evaluation of two units cold standby system with preventive and random changes in units.‘ Journal of Mathematics and Statistics. vol 1, pp. 71-77. http://dx.doi.org/10.3844/jmssp.2005.71.77
Pradeep Chaudhary and Dharmendra Kumar, (2007)“Stochastic analysis of a two-unit cold standby system with different operative modes and different repair policies”, Int. J. Agricult.Stat. Sciences, Vol. 3, No. 2, pp. 387-394.
Rakesh Gupta and Kailash Kumar, (2007) “Cost-benefit analysis of distillery plant system”, Int. J. Agricult. Stat. Sciences, Vol. 3, No. 2, pp. 541-554.
Vishal Sharma and Gaurav Varshney,(2006) “Reliability analysis of an emergency shutdown system model in an industrial plant”, RdE J. of Mathematical Sciences, Vol.1, pp.71-82.
How to Cite
Articles in Mathematical Journal of Interdisciplinary Sciences (Math. J. Interdiscip. Sci.) by Chitkara University Publications are Open Access articles that are published with licensed under a Creative Commons Attribution- CC-BY 4.0 International License. Based on a work at https://mjis.chitkara.edu.in. This license permits one to use, remix, tweak and reproduction in any medium, even commercially provided one give credit for the original creation.
View Legal Code of the above mentioned license, https://creativecommons.org/licenses/by/4.0/legalcode
View Licence Deed here https://creativecommons.org/licenses/by/4.0/
|Mathematical Journal of Interdisciplinary Sciences by Chitkara University Publications is licensed under a Creative Commons Attribution 4.0 International License. Based on a work at https://mjis.chitkara.edu.in|