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Minimizing the total tardiness and the total carbon emissions in the permutation flow shop scheduling problem

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Organization
Abstract
In this paper, we consider the permutation flow shop scheduling problem and aim to minimize the total tardiness as well as the total carbon emissions. We present a formulation of the problem through a mixed-integer programming model. To solve the problem, we develop a multi-objective decomposition-based heuristic (MODBH) algorithm, working based on job insertion, as well as a multi-objective VNS algorithm. Furthermore, a multi-objective iterated greedy algorithm is utilized to validate the efficiency of the developed methods. Using extensive computational experiments, we indicate that the MODBH algorithm has a significant superiority to the other developed solution approaches. Furthermore, the multi-objective VNS algorithm shows better performance than the multi-objective iterated greedy algorithm.
Keywords
Management Science and Operations Research, Modeling and Simulation, General Computer Science, Flow shop scheduling, Total tardiness, Total carbon emissions, Heuristic algorithm, Multi-objective optimization, VNS algorithm, ENERGY-CONSUMPTION, M-MACHINE, HEURISTICS, CLASSIFICATION, MINIMIZATION, MAKESPAN

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MLA
Ghorbani Saber, Reza, and Mohammad Ranjbar. “Minimizing the Total Tardiness and the Total Carbon Emissions in the Permutation Flow Shop Scheduling Problem.” COMPUTERS & OPERATIONS RESEARCH, vol. 138, 2022, doi:10.1016/j.cor.2021.105604.
APA
Ghorbani Saber, R., & Ranjbar, M. (2022). Minimizing the total tardiness and the total carbon emissions in the permutation flow shop scheduling problem. COMPUTERS & OPERATIONS RESEARCH, 138. https://doi.org/10.1016/j.cor.2021.105604
Chicago author-date
Ghorbani Saber, Reza, and Mohammad Ranjbar. 2022. “Minimizing the Total Tardiness and the Total Carbon Emissions in the Permutation Flow Shop Scheduling Problem.” COMPUTERS & OPERATIONS RESEARCH 138. https://doi.org/10.1016/j.cor.2021.105604.
Chicago author-date (all authors)
Ghorbani Saber, Reza, and Mohammad Ranjbar. 2022. “Minimizing the Total Tardiness and the Total Carbon Emissions in the Permutation Flow Shop Scheduling Problem.” COMPUTERS & OPERATIONS RESEARCH 138. doi:10.1016/j.cor.2021.105604.
Vancouver
1.
Ghorbani Saber R, Ranjbar M. Minimizing the total tardiness and the total carbon emissions in the permutation flow shop scheduling problem. COMPUTERS & OPERATIONS RESEARCH. 2022;138.
IEEE
[1]
R. Ghorbani Saber and M. Ranjbar, “Minimizing the total tardiness and the total carbon emissions in the permutation flow shop scheduling problem,” COMPUTERS & OPERATIONS RESEARCH, vol. 138, 2022.
@article{8735112,
  abstract     = {{In this paper, we consider the permutation flow shop scheduling problem and aim to minimize the total tardiness as well as the total carbon emissions. We present a formulation of the problem through a mixed-integer programming model. To solve the problem, we develop a multi-objective decomposition-based heuristic (MODBH) algorithm, working based on job insertion, as well as a multi-objective VNS algorithm. Furthermore, a multi-objective iterated greedy algorithm is utilized to validate the efficiency of the developed methods. Using extensive computational experiments, we indicate that the MODBH algorithm has a significant superiority to the other developed solution approaches. Furthermore, the multi-objective VNS algorithm shows better performance than the multi-objective iterated greedy algorithm.}},
  articleno    = {{105604}},
  author       = {{Ghorbani Saber, Reza and Ranjbar, Mohammad}},
  issn         = {{0305-0548}},
  journal      = {{COMPUTERS & OPERATIONS RESEARCH}},
  keywords     = {{Management Science and Operations Research,Modeling and Simulation,General Computer Science,Flow shop scheduling,Total tardiness,Total carbon emissions,Heuristic algorithm,Multi-objective optimization,VNS algorithm,ENERGY-CONSUMPTION,M-MACHINE,HEURISTICS,CLASSIFICATION,MINIMIZATION,MAKESPAN}},
  language     = {{eng}},
  pages        = {{11}},
  title        = {{Minimizing the total tardiness and the total carbon emissions in the permutation flow shop scheduling problem}},
  url          = {{http://doi.org/10.1016/j.cor.2021.105604}},
  volume       = {{138}},
  year         = {{2022}},
}

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