Pareto-based Multi-criteria Evolutionary Algorithm for a Parallel Machines Scheduling Problem with Sequence-dependent Setup Times
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJE-30-12_007
تاریخ نمایه سازی: 1 اردیبهشت 1397
Abstract:
This paper addresses an unrelated multi-machine scheduling problem with sequence-dependent setup time, release date and processing set restriction to minimize the sum of weighted earliness/tardinesspenalties and the sum of completion times, which is known to be NP-hard. A Mixed Integer Programming (MIP) model is proposed to formulate the considered multi-criteria problem. Also, to solve the model for real-sized applications, a Pareto-based algorithm, namely controlled elitism nondominated sorting genetic algorithm (CENSGA), is proposed. To validate its performance, the algorithm is examined under six performance metric measures, and compared with a Pareto-based algorithm, namely NSGA-II. The results are statistically evaluated by the Mann–Whitney test and t-test methods. From the obtained results based on the t-test, the proposed CENSGA significantly outperforms the NSGA-II in four out of six terms. Additionally, the statistical results from Mann– Whitney test show that the performance of the proposed CENSGA is better than the NSGA- II in two out of six terms. Finally, the experimental results indicate the effectiveness of the proposed algorithm for different problems.
Keywords:
Multi-objective optimization , Unrelated parallel machine , Just-in-time scheduling , Controlled elitism non-dominated sorting , genetic algorithm , Mixed-integer programming , Sequence-dependent setup time
Authors
J Rezaeian Zeidi
Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran
M Zarei
Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran
K Shokoufi
Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran