Many-Objective Car Sequencing Problem on Mixed-model Two-sided Assembly Lines

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Trirat Kirdphoksap
Parames Chutima

Abstract

A Multi-objective Evolutionary Algorithm based on Decomposition (MOEA/D) is an evolutionary metaheuristic which has been developed to solve Many-Objective Optimization Problems (MaOPs). The concept of searching for answers is to decompose the original problem into subproblems for finding the optimal solution of each subproblem. This study proposes a MOEA/D compared with a Multi-Objective Differential Evolution algorithm (MODE) in order to solve many-objective car sequencing problem on twosided assembly lines which is classified as a MaOPs and be non-deterministic polynomial hard problem (NP-Hard problem) due to complexity and a large number of solutions. Five objectives were simultaneously evaluated, including the minimal number of color changes, of vehicle violations, along with the minimum amount of unfinished production, of total idle time of the line, and of total variation in rate of production. The experiments showed that MOEA/D has better aspects of convergence performance and time consumption than MODE counterpart.

Article Details

Section
Engineering Research Articles

References

[1] O. S. Akgündüz and S. Tunalı, “An adaptive genetic algorithm approach for the mixedmodel assembly line sequencing problem,” International Journal of Production Research, vol. 48, no. 17, pp. 5157–5179, 2010.

[2] A. Zinflou, C. Gagné, and M. Gravel, “Design of an efficient genetic algorithm to solve the industrial car sequencing problem,” in Advances in Evolutionary Algorithms, London: Headquarters IntechOpen Limited, 2008, pp. 377–400.

[3] O. S. Akgündüz and S. Tunalı, “A review of the current applications of genetic algorithms in mixed-model assembly line sequencing,” International Journal of Production Research, vol. 49, no. 15, pp. 4483–4503, 2011.

[4] C. J. Hyun, Y. Kim, and Y. K. Kim “A genetic algorithm for multiple objective sequencing problems in mixed model assembly lines,” Computers & Operations Research, vol. 25, no. 7–8, pp. 675–690, 1998.

[5] S. A. Mansouri, “A multi-objective genetic algorithm for mixed-model sequencing on jit assembly lines,” European Journal of Operational Research, vol. 167, no. 3, pp. 696–716, 2005.

[6] P. Chutima and S. Olarnviwatchai, “A multiobjective car sequencing problem on two sided assembly lines,” Journal of Intelligent Manufacturing, pp. 1–20, 2016.

[7] Z. He and G. G. Yen, “Many-objective evolutionary algorithm: objective space reduction and diversity improvement,” IEEE Transactions on Evolutionary Computation, vol. 20, no. 1, pp. 145–160, 2016.

[8] L. Hui and Z. Qingfu, “A multiobjective differential evolution based on decomposition for multiobjective optimization with variable linkages,” Parallel Problem Solving from Nature IX, vol. LNCS 4193, pp. 583–592, 2006.

[9] D. Brockhoff and E. Zitzler, “Objective reduction in evolutionary multi-objective optimization: Theory and applications,” Evolutionary Computation, vol. 17, no. 2, pp. 135–166, 2009.

[10] Z. Qingfu and L. Hui, “MOEA/D: A multiobjective evolutionary algorithm based on decomposition,” IEEE Transactions on Evolutionary Computation, vol. 11, no. 6, pp. 712–731, 2007.

[11] U. Özcan and B. Toklu, “Balancing of mixedmodel two-sided assembly lines,” Computers and Industrial Engineering, vol. 57, no. 1, pp. 217–227, 2009.

[12] S. Olanviwatchai, “Multi-objective car sequencing problem on mixed-model two-sided assembly lines,” M.S. thesis, Department of Industrial Engineering, Faculty of Engineering, Chulalongkorn Universiry, 2013.

[13] N. Manavizadeh, L. Tavakoli, M. Rabbani, and F. Jolai, “A multi-objective mixed-model assembly line sequencing problem in order to minimize total costs in a Make-To-Order environment, considering order priority,” Journal of Manufacturing Systems, vol. 32, no. 1, pp. 124–137, 2013.

[14] A. R. Rahimi-Vahed, M. Rabbani, R. Tavakkoli-Moghaddam, S. A. Torabi, and F. Jolai, “A multiobjective scatter search for a mixed-model assembly line sequencing problem,” Advanced Engineering Informatics, vol. 21, no. 1, pp. 85–99, 2007.

[15] A. Konak, D. W. Coit, and A. E. Smith, “Multiobjective optimization using genetic algorithms: A tutorial,” Reliability Engineering & System Safety, vol. 91, no. 9, pp. 992–1007, 2006.

[16] R. Kumar and P. K. Singh, “Pareto evolutionary algorithm hybridized with local search for biobjective TSP,” Hybrid Evolutionary Algorithms, vol. 75, pp. 361–398, 2007.

[17] P. R. McMullen, “An efficient frontier approach to addressing JIT sequencing problems with setups via search heuristics,” Computers and Industrial Engineering, vol. 41, pp. 335–353, 2001.