4.7 Article

Efficient multi-objective meta-heuristic algorithms for energy-aware non-permutation flow-shop scheduling problem

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EXPERT SYSTEMS WITH APPLICATIONS
卷 213, 期 -, 页码 -

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2022.119077

关键词

Non -permutation flow -shop scheduling; Limited time intervals; Multi -objective Ant Lion optimization; algorithm; Multi -objective Keshtel Algorithm; Social Engineering Optimizer

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This study investigates the energy awareness of non-permutation flow-shop scheduling and lot-sizing problems and proposes a hybrid algorithm to optimize them. The proposed algorithm is validated and evaluated for efficiency using mathematical modeling and meta-heuristic algorithms, showing it can find optimal solutions and outperform other algorithms in terms of time and quality.
This study investigates the optimization of non-permutation flow-shop scheduling problems and lot-sizing simultaneously. Contrary to previous works, we first study the energy awareness of non-permutation flowshop scheduling and lot-sizing using modified novel meta-heuristic algorithms. In this regard, first, a mixedinteger linear mathematical model is proposed. This model aimed to determine the size of each sub-category and determine each machine's speed within each sub-category to minimize makespan and total consumed energy simultaneously. In order to optimize this model, Multi-objective Ant Lion Optimizer (MOALO), Multiobjective Keshtel Algorithm (MOKA), and Multi-objective Keshtel and Social Engineering Optimizer (MOKSEA) are proposed. First, the validation of the mathematical model is evaluated by implementing it in a real case of the food industry using GAMS software. Next, the Taguchi design of the experiment is applied to adjust the meta-heuristic algorithms' parameters. Then the efficiency of these meta-heuristic algorithms is evaluated by comparing with Epsilon-constraint (EPC), Non-dominated Sorting Genetic Algorithm II (NSGA-II) and Multiobjective Particle Swarm Optimization (MOPSO) using several test problems. The results demonstrated that the MOALO, MOKA, and MOKSEO algorithms could find optimal solutions that can be viewed as a set of Pareto solutions, which means the used algorithm has the necessary validity. Moreover, the proposed hybrid algorithm can provide Pareto solutions in a shorter time than EPC and higher quality than NSGA-II and MOPSO. Finally, the model's key parameters were the subject of sensitivity analysis; the results showed a linear relationship between the processing time and the first and second objective functions.

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