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Evolutionary algorithms for solving unconstrained multilevel lot-sizing problem with series structure
Authors:Yi Han  Jian-hu Cai  Kaku Ikou  Yan-lai Li  Yi-zeng Chen  Jia-fu Tang
Institution:[1]College of Economics and Management, Zhejiang University of Technology, Hangzhou 310023, China [2]Research Center for Technology Innovation and Enterprise Internationalization, Zhejiang University of Technology, Hongzhou 310023, China [3]Department of Management Science and Engineering, Akita Prefectural University, Honjo 015-0055, Japan [4]School of Logistics, Southwest Jiaotong University, Chengdu 610031, China [5]College of International Business and Management, Shanghai University, Shanghai 200444, China [6]Institute of Systems Engineering, Northeastern University, Shenyang 110004, China
Abstract:This paper presents a comparative study of evolutionary algorithms which are considered to be effective in solving the multilevel lot-sizing problem in material requirement planning (MRP) systems. Three evolutionary algorithms (simulated annealing (SA), particle swarm optimization (PSO) and genetic algorithm (GA)) are provided. For evaluating the performances of algorithms, the distribution of total cost (objective function) and the average computational time are compared. As a result, both GA and PSO have better cost performances with lower average total costs and smaller standard deviations. When the scale of the multilevel lot-sizing problem becomes larger, PSO is of a shorter computational time.
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