Solving a Joint Availability-Redundancy Optimization Model with Multi-State Components with Meta-Heuristic
الموضوعات : مجله بین المللی ریاضیات صنعتیA. H. Borhani Alamdari‎‎‎ 1 , M. Sharifi 2
1 - Department of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.
2 - Department of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.
الکلمات المفتاحية: Genetic algorithm, universal generating function, Multi-state components, Reliability optimization, Redundancy allocation problem,
ملخص المقالة :
This paper has been worked on a RAP with multi-state components and the performance rate of each component working state may increase by spending technical and organizational activities costs. Whereas RAP belongs to Np-Hard problems, we used Genetic algorithm (GA) and simulated annealing (SA) and for solving the presented problem and calculating system reliability universal generating function (UGF) have been used.
[1] A. Chambari., An efficient simulated annealing algorithm for the redundancy allocation problem with a choice of redundancy strategies, Reliability Engineering & System Safety 11 (2013) 158-164.
[2] M. S. Chern, On the computational complexity of reliability redundancy allocation in a series system, Operations research letters 15 (1992) 309-315.
[3] Y. Ding, A. Lisnianski, Fuzzy universal generating functions for multi-state system reliability assessment, Fuzzy Sets and Systems 159 (2008) 307-324.
[4] V. Ebrahimipour, S. Asadzadeh, A. Azadeh, An emotional learning-based fuzzy inference system for improvement of system reliability evaluation in redundancy allocation problem, The International Journal of Advanced Manufacturing Technology 11 (2013) 1-16.
[5] V. Ebrahimipour, M. Sheikhalishahi, Application of multi-objective particle swarm optimization to solve a fuzzy multi-objective reliability redundancy allocation problem, in Systems Conference (SysCon), 2011 IEEE International, (2011) IEEE.
[6] D. E. Fyffe, W. W. Hines, N. K. Lee, System reliability allocation and a computational algorithm, IEEE Transactions on Reliability 17 (1968) 64-69.
[7] J. Gago, Exact cost minimization of a seriesparallel reliable system with multiple component choices using an algebraic method, Computers & Operations Research 40 (2013) 2752-2759.
[8] H. Garg, M. Rani, S. Sharma, An efficient two phase approach for solving reliability redundancy allocation problem using artificial bee colony technique, Computers & Operations Research 40 (2013) 2961-2969.
[9] H. Garg, S. Sharma, Multi-objective reliability-redundancy allocation problem using particle swarm optimization, Computers & Industrial Engineering 64 (2013) 247-255.
[10] J. H. Holland, Adaptation in natural and artificial systems, An introductory analysis with application to biology, control and artificial intelligence, Ann Arbor, MI: University of Michigan Press, (1975).
[11] K. Khalili Damghani, A. R. Abtahi, M. Tavana, A Decision Support System for Solving Multi Objective Redundancy Allocation Problems, Quality and Reliability Engineering International 30 (2014) 1249-1262.
[12] S. Kirkpatrick, C. D. Gelatt, M. P. Vecchi, Optimization by simulated annealing, science 220 (1983) 671-680.
[13] G. Levitin, Reliability of series-parallel systems with random failure propagation time, IEEE Transactions on Reliability 62 (2013) 637-647.
[14] I. D. Lins, E. L. Droguett, Redundancy allocation problems considering systems with imperfect repairs using multi-objective genetic algorithms and discrete event simulation, Simulation Modelling Practice and Theory 19 (2011) 362-381.
[15] I. Lins, E. Droguett, Multiobjective optimization of redundancy allocation problems in systems with imperfect repairs via ant colony and discrete event simulation, in Proceedings of the European Safety & Reliability Conference (ESREL). Valencia, Spain, (2008).
[16] I. D. Lins, E. L. Droguett, Multiobjective optimization of availability and cost in repairable systems design via genetic algorithms and discrete event simulation, Pesquisa Operacional 29 (2009) 43-66.
[17] A. Lisniaski, G. Levitin, Multi-state system reliability: assessment, in Optimization and Application, World Scientific Singapore, (2003).
[18] Y. Liu, A joint redundancy and imperfect maintenance strategy optimization for multistate systems, IEEE Transactions on Reliability 62 (2013) 368-378.
[19] G. S. Liu, Availability optimization for repairable parallel-series system by applying Tabu-GA combination method. in Industrial Informatics (INDIN), (2012) 10th IEEE International Conference on. 2012. IEEE.
[20] I. Maatouk, E. Chtelet, N. Chebbo, Availability maximization and cost study in multi-state systems, in Reliability and Maintainability Symposium (RAMS), 2013 Proceedings-Annual. (2013). IEEE.
[21] S. M. Mousavi, Two tuned multi-objective meta-heuristic algorithms for solving a fuzzy multi-state redundancy allocation problem under discount strategies, Applied Mathematical Modelling 39 (2015) 6968-6989.
[22] M. Ouzineb, M. Nourelfath, M. Gendreau, A heuristic method for non-homogeneous redundancy optimization of series-parallel multi-state systems, Journal of Heuristics 17 (2011) 1-22.
[23] M. Ouzineb, M. Nourelfath, M. Gendreau, Tabu search for the redundancy allocation problem of homogenous series parallel multistate systems, Reliability Engineering & System Safety, 8 (2008) 1257-1272.
[24] V. K. Sharma, M. Agarwal, Ant colony optimization approach to heterogeneous redundancy in multi-state systems with multistate components. in Reliability, Maintainability and Safety, 2009. ICRMS (2009). 8th International Conference on. 2009, IEEE.
[25] I. Ushakov, Universal generating function, Soviet Journal of Computer Systems Science 24 (1986) 118-129.
