Multi-objective reliability-redundancy allocation problem using particle swarm optimization

Bag, 2009, A production inventory model with fuzzy demand and with flexibility and reliability considerations, Journal of Computers and Industrial Engineering, 56, 411, 10.1016/j.cie.2008.07.001

Bellman, 1970, Decision making in a fuzzy environment, Management Science, 17, 141, 10.1287/mnsc.17.4.B141

Bing, 2000, A practical engineering method for fuzzy reliability analysis of mechanical structures, Reliability Engineering and System Safety, 67, 311, 10.1016/S0951-8320(99)00073-3

Cai, 1991, Fuzzy variables as a basis for a theory of fuzzy reliability in the possibility context, Fuzzy Sets and Systems, 42, 145, 10.1016/0165-0114(91)90143-E

Chen, 1994, Fuzzy system reliability analysis using fuzzy number arithmetic operations, Fuzzy Sets and Systems, 64, 31, 10.1016/0165-0114(94)90004-3

Chen, 2001, Multiobjective design optimization based on satisfaction metrics, Engineering Optimization, 33, 601, 10.1080/03052150108940935

Chen, 2005, Immune algorithm based approach for redundant reliability problems, Computers in Industry, 56, 195, 10.1016/j.compind.2004.06.002

Clerc, 2002, The particle swarm: explosion, stability, and convergence in a multi-dimensional complex space, IEEE Transactions on Evolutionary Computation, 6, 58, 10.1109/4235.985692

Coello-Coello, 2002, Theoretical and numerical constraints-handling techniques used with evolutionary algorithms: a survey of the state of the art, Computational Methods Applied Mechanical Engineering, 19, 1245, 10.1016/S0045-7825(01)00323-1

Coit, 1996, Reliability optimization of series–parallel systems using genetic algorithm, IEEE Transactions on Reliability R-45, 254, 10.1109/24.510811

Deb, 2000, An efficient constraint handling method for genetic algorithms, Computer Methods in Applied Mechanics and Engineering, 186, 311, 10.1016/S0045-7825(99)00389-8

Deb, K., Agrawal, S., Pratab, A. & Meyarivan, T. (2000), A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II, (KanGAL report 200001). Technical report. Indian Institute of Technology Kanpur.

Delgado, 1994

Dhingra, 1992, Optimal apportionment of reliability and redundancy in series systems under multiple objectives, IEEE transaction on Reliability, 41, 576, 10.1109/24.249589

Duque, 2004, A fuzzy Markov model including optimization techniques to reduce uncertainty, IEEE Melecon, 3, 841

Garg, 2010, Redundancy-allocation in pharmaceutical plant, International Journal of Engineering Science and Technology, 2, 1088

Garg, 2012, Stochastic behavior analysis of industrial systems utilizing uncertain data, ISA Transactions, 51, 752, 10.1016/j.isatra.2012.06.012

Giuggioli, 2001, Multiobjective optimization by genetic algorithms: Application to safety systems, Reliability Engineering and System Safety, 72, 59, 10.1016/S0951-8320(00)00109-5

Gu, 2004, Fuzzy mapping between physical domain and function domain in design process, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12, 7, 10.1142/S0218488504002618

Hikita, 1992, Reliability optimization of systems by a surrogate constraints algorithm, IEEE Transactions on Reliability, R-41, 473, 10.1109/24.159825

Huang, 1997, Fuzzy multi-objective optimization decision-making of reliability of series system, Microelectronics Reliability, 37, 447, 10.1016/S0026-2714(96)00040-6

Huang, 2006, An interactive fuzzy multi-objective optimization method for engineering design, Engineering Applications of Artificial Intelligence, 19, 451, 10.1016/j.engappai.2005.12.001

Huang, 2005, Intelligent interactive multi-objective optimization method and its application to reliability optimization, IIE Transactions, 37, 983, 10.1080/07408170500232040

Islam, 2006, A new fuzzy multi-objective programing: Entropy based geometric programming and its application of transportation problems, European Journal of Operational Research, 173, 387, 10.1016/j.ejor.2005.01.050

Karwowski, 1986

Kaufmann, 1985

Kennedy, J. & Eberhart, R. C. (1995), Particle swarm optimization. In IEEE International Conference on Neural Networks (Vol. IV, pp. 1942–1948). Piscataway, NJ, Seoul, Korea.

Keshavarz, 2009, A fuzzy shortest path with the highest reliability, Journal of Computational and Applied Mathematics, 230, 204, 10.1016/j.cam.2008.11.007

Kuo, 2000, An annotated overview of system-reliability optimization, IEEE Transaction on Reliability, 49, 176, 10.1109/24.877336

Loetamonphong, 2002, Multi-objective optimization problems with fuzzy relation equation constraints, Fuzzy Sets and Systems, 127, 141, 10.1016/S0165-0114(01)00052-5

Mahapatra, 2006, Fuzzy multi-objective mathematical programming on reliability optimization model, Applied Mathematics and Computation, 174, 643, 10.1016/j.amc.2005.04.105

Moghaddam, 2008, Reliability optimization of series–parallel systems with a choice of redundancy strategies using a genetic algorithm, Reliability Engineering and System Safety, 93, 550, 10.1016/j.ress.2007.02.009

Mohanta, 2004, Fuzzy reliability evaluation of captive power plant maintenance scheduling incorporating uncertain forced outage rate and load representation, Electric Power Systems Research, 72, 73, 10.1016/j.epsr.2004.04.001

Onisawa, 1990, An application of fuzzy concepts to modelling of reliability analysis, Fuzzy Sets and Systems, 37, 267, 10.1016/0165-0114(90)90026-3

Park, 1987, Fuzzy apportionment of system reliability, IEEE Transactions on Reliability, R-36, 129, 10.1109/TR.1987.5222317

Rao, 1992, Reliability and redundancy apportionment using crisp and fuzzy multi-objective optimization approaches, Reliability Engineering and System Safety, 37, 253, 10.1016/0951-8320(92)90131-4

Ravi, 2000, Fuzzy global optimization of complex system reliability, IEEE Transactions on Fuzzy Systems, 8, 241, 10.1109/91.855914

Sakawa, 1978, Multiobjective reliability and redundancy optimization of a series-parallel system by the surrogate worth trade-off method, Microelectronics Reliability, 17, 465, 10.1016/0026-2714(78)91126-5

Shi, 1998, A modified particle swarm optimizer, 69

Shi, 1998

Slowinski, 1998

Utkin, 1996, A general formal approach for fuzzy reliability analysis in the possibility context, Fuzzy Sets and Systems, 83, 203, 10.1016/0165-0114(95)00391-6

Wang, Z., Chen, T., Tang, K. & Yao, X. (2009), A multi-objective approach to redundancy allocation problem in parallel-series systems. In Proceedings of IEEE Congress on Evolutionary Computation (pp. 582–589).

Wang, Z., Tang, K. & Yao, X. (2010a). An efficient particle swarm optimizer for multi-level redundancy allocation problem. IEEE Computational intelligence Society <ieee-cis.org/_files/Walter_Karplus_2010_ZaiWang.pdf>.

Wang, 2010, A memetic algorithm for multi-level redundancy allocation, IEEE Transactions on reliability, 59, 754, 10.1109/TR.2010.2055927