Abstract
Due to the engineering requirements of products with better quality, the importance of designing reliable systems which normally present high availability is increasing. When the components of higher reliability are used, the associated cost of components also increases. Thus, the decision-makers have to consider both the profit and the quality requirements. The objective of this paper is to improve the design efficiency and to find the most optimal policy for MTBF (mean time between failures), MTTR (mean time to repair) and related costs. Artificial bee colony algorithm has been used to obtained the MTBF and MTTR of various components, in a cost effective manner and results are shown to be statistically significant by means of pooled t-test with other evolutionary algorithm results. The application of the proposed framework has been demonstrated through the washing unit of a paper mill situated in a northern part of India which produces approximately 200 tons of paper per day. Sensitivity analysis has also been addressed to rank the components of the system based on its performance. The system analyst or decision maker may use these optimal values to increase the performance as well as productivity of the system.
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References
Basturk B, Karaboga D (2006) An artificial bee colony (ABC) algorithm for numeric function optimization. In: IEEE swarm intelligence symposium. IEEE, Indianapolis
Birolini A (2007) Reliability engineering: theory and practice, 5th edn. Springer, New York
Brest J, Greiner S, Boskovic B, Mernik M, Zumer V (2006) Self- adapting control parameters in differential evolution: acomparative study on numerical benchmark problems. IEEE Trans Evol Comput 10(6):646–657
Castro HFD, Cavalca KL (2003) Availability optimization with genetic algorithm. Int J Qual Reliab Manag 20(7):847–63
Clerc M, Kennedy JF (2002) The particle swarm: explosion, stability, and convergence in a multi-dimensional complex space. IEEE Trans Evol Comput 6(1):58–73
Coit DW, Smith AE (1996) Reliability optimization of series–parallel systems using a genetic algorithm. IEEE Trans Reliab 45:245–260
Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science. IEEE Press, Piscataway, p 39–43
Garg H, Sharma SP (2011) Multi-objective optimization of crystallization unit in a fertilizer plant using particle swarm optimization. Int J Appl Sci Eng 9(4):261–276
Garg H, Sharma SP (2012) Stochastic behavior analysis of industrial systems utilizing uncertain data. ISA Trans 51(6):752–762. http://dx.doi.org/10.1016/j.isatra.2012.06.012
Gen M, Yun YS (2006) Soft computing approach for reliability optimization: state-of-the-art survey. Reliab Eng Syst Saf 91(9):1008–1026
Goldberg DE (1989) Genetic algorithm in search, optimization and machine learning. Addison-Wesley, Reading
Holland JH (1975) Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor
Henley EJ, Kumampto H (1985) Design for reliability and safety control. Prentice-Hall, Englewood Cliffs
Juang YS, Lin SS, Kao HP (2008) A knowledge management system for series–parallel availability optimization and design. Expert Syst Appl 34:181–193
Karaboga D (2005) An idea based on honey bee swarm for numerical optimization. Technicla report, TR06. Engineering Faculty, Computer Engineering Department, Erciyes University, Kayseri
Karaboga D, Akay B (2009) A comparative study of artificial bee colony algorithm. Appl Math Comput 214(1):108–132
Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Global Optim 39:459–471
Karaboga D, Ozturk C (2011) A novel clustering approach: artificial bee colony (ABC) algorithm. Appl Soft Comput 11(1):652–657
Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: IEEE international conference on neural networks, vol IV. IEEE, Piscataway, p 1942–1948
Khan FI, Haddara M, Krishnasamy L (2008) A new methodology for risk-based availability analysis. IEEE Trans Reliab 57(1):103–112
Kumar A (2009) Reliability analysis of industrial system using GA and fuzzy approach. PhD thesis, Indian Institute of Technology, Roorkee
Kuo W, Prasad VR, Tillman FA, Hwang C (2001) Optimal reliability design—fundamentals and applications. Cambridge University Press, Cambridge
Rani M, Sharma SP, Garg H (2011) Availability redundancy allocation of washing unit in a paper mill utilizing uncertain data. Elixir Mech Eng 39C:4627–4631
Shi Y, Eberhart RC (1998a) A modified particle swarm optimizer. In: IEEE international conference on evolutionary computation. IEEE Press, Piscataway, p 69–73
Shi Y, Eberhart RC (1998b) Parameter selection in particle swarm optimization. In: Evolutionary programming VII, EP 98. Springer, New York, p 591–600
Storn R, Price KV (1995) Differential evolution: a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical report TR-95-012. International Computer Science Institute, Berkley
Storn R, Price KV (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11(4):341–359
Tillman FA, Hwang CL, Kuo W (1980) Optimization of system reliability. Marcel Dekker, New York
Wang WD (2000) Confidence limits on the inherent availability of equipment. In: Proceedings of the IEEE annual reliability and maintainability symposium. IEEE, Eindhoven, p 162–168
Yuen KA, Katafygiotis LS (2005) An efficient simulation method for reliability analysis of linear dynamical systems using simple additive rules of probability. Probab Eng Mech 20(1):109–114
Zhang J, Sanderson AC (2009) JADE: adaptive differential evolution with optional external archive. IEEE Trans Evol Comput 13(5):945–958
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Garg, H., Sharma, S.P. & Rani, M. Cost minimization of washing unit in a paper mill using artificial bee colony technique. Int J Syst Assur Eng Manag 3, 371–381 (2012). https://doi.org/10.1007/s13198-012-0128-3
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DOI: https://doi.org/10.1007/s13198-012-0128-3