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Título: | A mathematical formulation and an NSGA-II algorithm for minimizing the makespan and energy cost under time-of-use electricity price in an unrelated parallel machine scheduling. |
Autor(es): | Rego, Marcelo Ferreira Pinto, Júlio César Evaristo Moreira Cota, Luciano Perdigão Souza, Marcone Jamilson Freitas |
Palavras-chave: | Total energy cost Mixed-integer linear programming Multi-objective optimization |
Data do documento: | 2022 |
Referência: | REGO, M. F. et al. A mathematical formulation and an NSGA-II algorithm for minimizing the makespan and energy cost under time-of-use electricity price in an unrelated parallel machine scheduling. PEERJ Computer Science, v. 8, artigo e844, 2022. Disponível em: <https://peerj.com/articles/cs-844/>. Acesso em: 06 jul. 2022. |
Resumo: | In many countries, there is an energy pricing policy that varies according to the time-of-use. In this context, it is financially advantageous for the industries to plan their production considering this policy. This article introduces a new bi-objective unrelated parallel machine scheduling problem with sequence-dependent setup times, in which the objectives are to minimize the makespan and the total energy cost. We propose a mixed-integer linear programming formulation based on the weighted sum method to obtain the Pareto front. We also developed an NSGA-II method to address large instances of the problem since the formulation cannot solve it in an acceptable computational time for decision-making. The results showed that the proposed NSGA-II is able to find a good approximation for the Pareto front when compared with the weighted sum method in small instances. In a large number of instances, NSGA-II outperforms, with a 95% confidence level, the MOGA and NSGA-I multi-objective techniques concerning the hypervolume and hierarchical cluster counting metrics. Thus, the proposed algorithm finds non-dominated solutions with good convergence, diversity, uniformity, and amplitude. |
URI: | http://www.repositorio.ufop.br/jspui/handle/123456789/15686 |
DOI: | https://doi.org/10.7717/peerj-cs.844 |
ISSN: | 2376-5992 |
Licença: | This article is distributed under Creative Commons CC-BY 4.0. Fonte: o PDF do artigo. |
Aparece nas coleções: | DECOM - Artigos publicados em periódicos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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ARTIGO_MathematicalFormulationNSGA.pdf | 2,13 MB | Adobe PDF | Visualizar/Abrir |
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