Modelagem matemática para gestão energética de um sistema pátio-porto de granéis sólidos
DOI:
https://doi.org/10.21712/lajer.2025.v12.n2.p50-65Keywords:
gestão de energia, sistema pátio-porto, granéis sólidosAbstract
À medida que o consumo energético se intensifica e as estratégias das indústrias precisam estar cada vez mais alinhadas ao novo cenário energético mundial, tem-se impulsionado o desenvolvimento de trabalhos voltados à eficiência energética integrada à eficiência operacional e à sustentabilidade ambiental. Este estudo propõe uma modelagem matemática do fluxo energético em um sistema pátio-porto de granéis sólidos. Com base em um modelo existente do fluxo de material nesse sistema, este trabalho incorpora coeficientes de custo energético associados às cargas movimentadas por equipamentos como viradoras, empilhadeiras e recuperadoras, respeitando restrições de capacidade e assegurando o balanceamento do fluxo no sistema. O modelo foi testado computacionalmente por meio de faixas de valores aleatórios e cinco grupos de instâncias, utilizando o software comercial CPLEX, demonstrando potencial para apoiar a tomada de decisões com foco energético em operações portuárias. A proposta permite a adaptação a diferentes cenários, contribuindo para o desenvolvimento de cadeias logísticas mais eficientes e sustentáveis.
Downloads
References
Beheshtinia, MA and Fathi, M (2023) ‘Energy-efficient and sustainable supply chain in the manufacturing industry’, Energy Science and Engineering, vol. 1, no. 1, pp.357–382. https://doi.org/10.1002/ese3.1337.
Cai, L, Li, W, Li, H, Zhou, B, He, L and Guo, W (2024) ‘Incorporation of energy-consumption optimization into multi-objective and robust port multi-equipment integrated scheduling’, Transportation Research Part C: Emerging Technologies, [e-journal], vol.166, pp.104-304. https://doi.org/10.1016/j.trc.2024.104755.
De Oliveira Junior, VB, Pena, JGC and Salles, JLF (2016) ‘An improved plant-wide multiperiod optimization model of a byproduct gas supply system in the iron and steel-making process’, Applied Energy, [e-journal], v.164, pp.462–474. https://doi.org/10.1016/j.apenergy.2015.11.043.
Fardin, JF., Rocha, HRO, Donadel, CB and Fiorotti, R (2018) ‘Distributed Generation Energy in Relation to Renewable Energy: Principle, Techniques, and Case Studies’, Advances in Renewable Energies and Power Technologies, [e-journal], v.2, pp.345–375. https://doi.org/10.1016/B978-0-12-813185-5.00006-1
Fernandes, JMRC, Homayouni, SM and Fontes, DBMM. (2022) ‘Energy-Efficient Scheduling in Job Shop Manufacturing Systems: A Literature Review’, Sustainability, [e-journal], v.14, no.10, pp.1–34. https://doi.org/10.3390/su14106264.
Fiorotti, R, Rocha, HRO, Coutinho, CR, Rueda-Medina, AC, Nardoto, AF and Fardin, JF (2023a) ‘A novel strategy for simultaneous active/reactive power design and management using artificial intelligence techniques’, Energy Conversion and Management, [e-journal], v.294, no.4, pp.117-565. https://doi.org/10.1016/j.enconman.2023.117565.
Fiorotti, R, Yahyaoui, I, Rocha, H.R.O., Honorato, Í, Silva, J and Tadeo, F (2023b) ‘Demand planning of a nearly zero energy building in a PV/grid-connected system’, Renewable Energy Focus, [e-journal], v. 45, pp.220–233. https://doi.org/10.1016/j.ref.2023.04.005.
Gao, K, Huang, Y, Sadollah, A and Wang, L (2020) ‘A review of energy-efficient scheduling in intelligent production systems’, Complex and Intelligent Systems, [e-journal], v.6, no.23, pp.237–249. https://doi.org/10.1007/s40747-019-00122-6.
He, J, Huang, Y, Yan, W and Wang, S (2015a) ‘Integrated internal truck, yard crane and quay crane scheduling in a container terminal considering energy consumption’, Expert Systems with Applications, [e-journal], v.42, no.5, pp.2464–2487. https://doi.org/10.1016/j.eswa.2014.11.016.
He, J, Huang, Y and Yan, W (2015b) ‘Yard crane scheduling in a container terminal for the trade-off between efficiency and energy consumption’, Advanced Engineering Informatics, [e-journal], v.29, no.1, pp.59–75. https://doi.org/10.1016/j.aei.2021.101285.
Hong, C, Guo, Y, Wang, Y and Li, T (2023) ‘The Integrated Scheduling Optimization for Container Handling by Using Driverless Electric Truck in Automated Container Terminal’, Sustainability, [e-journal], v.15, no.6, pp. 5536. https://doi.org/10.3390/su15065536.
IBM. (2022). IBM ILOG CPLEX Optimization Studio, Version 22.1.1.
Iris, Ç and Lam, JSL (2021) ‘Optimal energy management and operations planning in seaports with smart grid while harnessing renewable energy under uncertainty’, Omega (United Kingdom), [e-journal], v.103, no.3, pp.102-445. https://doi.org/10.1016/j.omega.2021.102445.
Karaszewski, R (2022) ‘Strategic Planning and Management in Energy’, Energies, [e-journal], v.15, no.21, pp.7900. https://doi.org/10.3390/en15217900.
Khalaf, AF and Wang, Y (2018) ‘Energy-cost-aware flow shop scheduling considering intermittent renewables, energy storage, and real-time electricity pricing’, International Journal of Energy Research, [e-journal], v.42, no.12, pp.3928–3942. https://doi.org/10.1002/er.4130.
Labaran, MJ and Masood, T (2023) ‘Industry 4.0 Driven Green Supply Chain Management in Renewable Energy Sector: A Critical Systematic Literature Review’, Energies, [e-journal], v.16, no.19, pp.6977. https://doi.org/10.3390/en16196977.
Lacerda, RTO, Ensslin, L and Ensslin, SR (2012) ‘Uma análise bibliométrica da literatura sobre estratégia e avaliação de desempenho’, Gestão & Produção, [e-journal], v.1, no.1, pp.59-78. https://doi.org/10.1590/S0104-530X2012000100005.
Li, H (2023) ‘A heuristic algorithm for equipment scheduling at an automated container terminal with multi-size containers’, Archives of Transport, [e-journal], v.65, no.1, pp.67–86. https://doi.org/10.5604/01.3001.0016.2478.
Li, W, Du, S, Zhong, L and He, L (2022) ‘Multiobjective scheduling for cooperative operation of multiple gantry cranes in railway area of container terminal’, IEEE Access, [e-journal], v.10, pp.46772–46781. https://doi.org/10.1109/ACCESS.2022.3170902.
Li, X, Peng, Y, Tian, Q, Feng, T, Wang, W, Cao, Z and Song, X (2023) ‘A decomposition-based optimization method for integrated vehicle charging and operation scheduling in automated container terminals under fast charging technology’, Transportation Research Part E: Logistics and Transportation Review, [e-journal] v.180, pp.103-338. https://doi.org/10.1016/j.tre.2023.103338.
Meng, Y, Yang, Y, Chung, H, Lee, PH and Shao, C (2018) ‘Enhancing sustainability and energy efficiency in smart factories: A review’, Sustainability, [e-journal], v.10, no.12, pp.1-28. https://doi.org/10.3390/su10124779.
Rebillé, Y and Richefort, L (2014) ‘Equilibrium existence and uniqueness in network games with additive preferences’, European Journal of Operational Research, [e-journal], v.232, no.3, pp.601–606. https://doi.org/10.1016/j.ejor.2013.07.014.
Rocha, HRO, Honorato, IH, Fiorotti, R, Celeste, WC, Silvestre, LJ and Silva, JAL (2021) ‘An artificial intelligence based scheduling algorithm for demand-side energy management in smart homes’, Applied Energy, [e-journal], v.15, pp.116-145. https://doi.org/10.1016/j.apenergy.2020.116145.
Servare Junior, MWJ, De Oliveira Rocha, HR and Salles, JLF (2024) ‘A smart energy scheduling under uncertainties of an iron ore stockyard-port system using a rolling horizon algorithm’, Computers and Operations Research, [e-journal], v.164, no.2, pp.106-518. https://doi.org/10.1016/j.cor.2023.106518.
Servare Junior, MWJ, Rocha, HRO and Salles, JLF (2019) ‘Modelo Matemático Multi-Produtos para Planejamento de Alocação de Pilha de Minérios’, In: Anais do LI SBPO, [e-journal], pp.108-119. https://doi.org/10.59254/sbpo-2019-106881.
Servare Junior, MWJ, Rocha, HRO and Salles, JLF (2020) ‘A Linear Relaxation-Based Heuristic for Iron Ore Stockyard Energy Planning’, Energies, [e-journal] v.13, no.19, p.5232. https://doi.org/10.3390/en13195232.
Silva, VA, Aoki, AR and Lambert-Torres, G (2020) ‘Optimal day-ahead scheduling of microgrids with battery energy storage system’, Energies, [e-journal], v.13, no.19, pp.5188. https://doi.org/10.3390/en13195188.
Soares, M and Katarina de Medeiros Costa, HO (2022) ‘O segmento de distribuição de energia elétrica no Brasil: uma avaliação das crises hídricas enfrentadas em 2001 e 2021’, Conjecturas, [e-journal], v.22, no.2, pp.307–321. https://doi.org/10.53660/CONJ-676-719.
Wang, L and Zhu, X (2019) ‘Container loading optimization in rail-truck intermodal terminals considering energy consumption’, Sustainability (Switzerland), [e-journal], v.22, no.2, pp.307-321. https://doi.org/10.3390/su11082383.
Wang, Z, Qu, C, Zeng, Q and Qu, X (2024) ‘Integrated energy management and operations planning in oil-electric hybrid container terminals considering multi-energy supply’, Advanced Engineering Informatics, [e-journal], v.60, pp.102-391. https://doi.org/10.1016/j.aei.2024.102391.
Yang, Y, Zhu, X and Haghani, A (2019) ‘Multiple Equipment Integrated Scheduling and Storage Space Allocation in Rail–Water Intermodal Container Terminals Considering Energy Efficiency’, Transportation Research Record, [e-journal], v. 2673, no.3, pp.199–209. https://doi.org/10.1177/0361198118825474.
Zhang, Y, Liang, C, Shi, J, Lim, G and Wu, Y (2022) ‘Optimal port microgrid scheduling incorporating onshore power supply and berth allocation under uncertainty’ Applied Energy, [e-journal], v.313, no.7, pp.118-856. https://doi.org/10.1016/j.apenergy.2022.118856.
Zhen, L, Yang, Z, Wang, S, Hu, H and Fan, T (2024) ‘Integrated planning model for two-story container ports’, Transportation Research Part C: Emerging Technologies, [e-journal], v.160, no.3, pp.104-535. Integrated planning model for two-story container ports. https://doi.org/10.1016/j.trc.2024.104535.
Zhong, Z, Guo, Y, Zhang, J and Yang, S (2023) ‘Energy-aware integrated scheduling for container terminals with conflict-free AGVs’, Journal of Systems Science and Systems Engineering, [e-journal], v.32, no.4, pp.413–443. https://doi.org/10.1007/s11518-023-5563-y.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Latin American Journal of Energy Research

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
O autor, no ato da submissão do artigo, transfere o direito autoral ao periódico.

