Mathematical modeling and performance evaluation of A-pan crystallization system in a sugar industry
Tóm tắt
In this paper, an effort has been made to formulate a mathematical model of A-pan crystallization system of a sugar plant using fuzzy reliability approach. The sugar plant comprises eight subsystems. A-pan crystallization system is one of the most important representative among sugar plant systems. The A-pan crystallization system has four subsystems arranged in a series. The configuration of first and second subsystems is 2-out-of-2: G with two cold standby while third and fourth subsystems are in single-unit configuration. A mathematical model has been proposed by considering exponential distribution for failure and repair rates. By considering fuzzy reliability approach and Markov birth–death model differential equations have been derived. These equations are then solved by Runge–Kutta method of fourth order using MATLAB (Ode 45 function) to obtain the fuzzy availability. The results of the proposed model are beneficial for system designers.
Tài liệu tham khảo
Meriot A (2016) Indian sugar policy: Government role in production, expansion and transition from importer to exporter. Sugar Expertise LLC for the American Sugar Alliance, Arlington
Adamyan A, David H (2002) Analysis of sequential failure for assessment of reliability and safety of manufacturing systems. Reliab Eng Syst Saf 76(3):227–236
Gupta P, Lal AK, Sharma RK, Singh J (2007) Analysis of reliability and availability of serial processes of plastic-pipe manufacturing plant: a case study. Int J Qual Reliab Manag 24(4):404–419
Mehmood R, Lu JA (2011) Computational markovian analysis of large systems. J Manuf Technol Manag 22(6):804–817
Garg H, Sharma SP (2012) A two-phase approach for reliability and maintainability analysis of an industrial system. Int J Reliab Qual Saf Eng 19(3):1250013
Kumar V, Mudgil V (2014) Availability optimization of ice cream making unit of milk plant using genetic algorithm. Int J Res Manag Bus Stud 4(3):17–19
Loganathan MK, Kumar G, Gandhi OP (2015) Availability evaluation of manufacturing systems using semi-Markov model. Int J Comput Integr Manuf 29(7):720–735. https://doi.org/10.1080/0951192x.2015.1068454
Saini M, Kumar A (2018) Stochastic modeling of a single-unit system operating under different environmental conditions subject to inspection and degradation. Proc Natl Acad Sci India Sect A Phys Sci. https://doi.org/10.1007/s40010-018-0558-7
Nailwal B, Singh SB (2012) Reliability and sensitivity analysis of an operating system with inspection in different weather conditions. Int J Reliab Qual Saf Eng 19(02):1250009
Neeraj A, Barak MS (2016) Profit analysis of a two unit cold standby system with preventive maintenance and repair subjected to weather conditions. Int J Stat Reliab Eng. https://doi.org/10.1007/s41872-018-0048-6
Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353
Kaufmann A (1975) Introduction to the theory of fuzzy subsets, vol 2. Academic Press, Cambridge
Srinath LS (1994) Reliability engineering, 3rd edn. East-West Press Pvt. Ltd, New Delhi
Arora N, Kumar D (1997) Availability analysis of steam and power generation systems in the thermal power plant. Microelectron Reliab 37(5):795–799
Barabady J, Kumar U (2007) Availability allocation through importance measures. Int J Qual Reliab Manag 24(6):643–657
Kiureghian AD, Ditlevson OD (2007) Availability, Reliability & downtime of system with repairable components. Reliab Eng Syst Saf 92(2):66–72
Garg S, Singh J, Singh DV (2009) Availability and maintenance scheduling of a repairable block board manufacturing system. Int J Reliab Saf 4(1):104–118
Rahman MM, Purbolaksono J, Ahmad J (2010) Root cause failure analysis of a division wall superheater tube of a coal-fired power station. Eng Fail Anal 17(6):1490–1494
Kumar S, Tewari PC, Kuma S, Gupta M (2010) Availability optimization of CO2 Shift conversion system of a fertilizer plant using genetic algorithm technique. Bangladesh J Sci Ind Res (BJSIR) 45(2):133–140
Kumar S, Tewari PC (2011) Mathematical modelling and performance optimization of CO2 cooling system of a fertilizer plant. Int J Ind Eng Comput 2:689–698
Adhikary DD, Bose GK, Chattopadhyay S, Bose D, Mitra S (2012) RAM investigation of coal-fired thermal power plants: a case study. Int J Ind Eng Comput 3:423–434
Goyal S, Grover S (2012) A comprehensive bibliography on effectiveness measurement of manufacturing systems. Int J Ind Eng Comput 3(2012):587–606
Kumar R (2014) Availability analysis of thermal power plant boiler air circulation system using Markov approach. Decis Sci Lett 3(1):65–72
Khanduja R, Tewari PC, Gupta M (2012) Performance enhancement for crystallization unit of sugar plant using genetic algorithm technique. J Ind Eng Int 28(6):688–703
Hojjati-Emami K, Dhillon B, Jenab K (2012) Reliability prediction for the vehicles equipped with advanced driver assistance systems (ADAS) and passive safety systems (PSS). Int J Ind Eng Comput 3(5):731–742
Aggarwal AK, Singh V, Kumar S (2014) Availability analysis and performance optimization of a butter oil production system: a case study. Int J Syst Assur Eng Manag 8(1):538–554
Kumar A, Varshney AK, Ram M (2015) Sensitivity analysis for casting process under stochastic modelling. Int J Ind Eng Comput 6(2015):419–432
Kadyan MS, Kumar R (2015) Availability and profit analysis of a feeding system in sugar industry. Int J Syst Assur Eng Manag 8(1):301–316
Aggarwal AK, Kumar S, Singh V (2017) Mathematical modeling and fuzzy availability analysis for serial processes in the crystallization system of a sugar plant. J Ind Eng Int 13(1):47–58
Kumar P, Tewari PC (2017) Performance analysis and optimization for CSDGB filling system of a beverage plant using particle swarm optimization. Int J Ind Eng Comput 8(2017):303–314
Kadyan MS, Kumar R (2017) Availability based operational behavior of B-Pan crystallization system in the sugar industry. Int J Syst Assur Eng Manag 8(2):1450–1460
Kumar A, Saini M (2017) Mathematical modeling of sugar plant: a fuzzy approach. Life Cycle Reliab Saf Eng. https://doi.org/10.1007/s41872-017-0038-0
Dahiya O, Kumar A, Saini M (2019) An analysis of feeding system of sugar plant subject to coverage factor. Int J Mech Prod Eng Res Dev (IJMPERD) 9(1):495–508
Dahiya O, Kumar A, Saini M (2019) Performance evaluation and availability analysis of a harvesting system using fuzzy reliability approach. Int J Recent Technol Eng 7(5):248–254
Kumar R (2018) Availability and profit analysis of sugar industrial systems. Ph.D. thesis, Kurkushetra University Kurkushetra, India
Sahu O (2018) Assessment of sugarcane industry: suitability for production, consumption, and utilization. Ann Agrar Sci 16:389–395
Kumar A, Saini M (2018) Fuzzy availability analysis of a marine power plant. Mater Today Proc 5:25195–25202