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SMS-EMOA: Multiobjective selection based on dominated hypervolume

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  1. Peng Cheng & Chun-Wei Lin & Jeng-Shyang Pan, 2015. "Use HypE to Hide Association Rules by Adding Items," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-19, June.
  2. Sven Schulz & Udo Buscher & Liji Shen, 2020. "Multi-objective hybrid flow shop scheduling with variable discrete production speed levels and time-of-use energy prices," Journal of Business Economics, Springer, vol. 90(9), pages 1315-1343, November.
  3. Juergen Branke & Wen Zhang, 2019. "Identifying efficient solutions via simulation: myopic multi-objective budget allocation for the bi-objective case," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(3), pages 831-865, September.
  4. Oliver Schütze & Adanay Martín & Adriana Lara & Sergio Alvarado & Eduardo Salinas & Carlos Coello, 2016. "The directed search method for multi-objective memetic algorithms," Computational Optimization and Applications, Springer, vol. 63(2), pages 305-332, March.
  5. Lourdes Uribe & Johan M Bogoya & Andrés Vargas & Adriana Lara & Günter Rudolph & Oliver Schütze, 2020. "A Set Based Newton Method for the Averaged Hausdorff Distance for Multi-Objective Reference Set Problems," Mathematics, MDPI, vol. 8(10), pages 1-29, October.
  6. Liagkouras, Konstantinos & Metaxiotis, Konstantinos, 2021. "Improving multi-objective algorithms performance by emulating behaviors from the human social analogue in candidate solutions," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1019-1036.
  7. Houssem R. E. H. Bouchekara & Yusuf A. Sha’aban & Mohammad S. Shahriar & Makbul A. M. Ramli & Abdullahi A. Mas’ud, 2023. "Wind Farm Layout Optimization/Expansion with Real Wind Turbines Using a Multi-Objective EA Based on an Enhanced Inverted Generational Distance Metric Combined with the Two-Archive Algorithm 2," Sustainability, MDPI, vol. 15(3), pages 1-32, January.
  8. Sanath Kahagalage & Hasan Hüseyin Turan & Fatemeh Jalalvand & Sondoss El Sawah, 2023. "A novel graph-theoretical clustering approach to find a reduced set with extreme solutions of Pareto optimal solutions for multi-objective optimization problems," Journal of Global Optimization, Springer, vol. 86(2), pages 467-494, June.
  9. Kawakib Arar Tahir, 2025. "A Systematic Review and Evolutionary Analysis of the Optimization Techniques and Software Tools in Hybrid Microgrid Systems," Energies, MDPI, vol. 18(7), pages 1-32, April.
  10. Oliver Cuate & Oliver Schütze, 2020. "Pareto Explorer for Finding the Knee for Many Objective Optimization Problems," Mathematics, MDPI, vol. 8(10), pages 1-24, September.
  11. Dubois-Lacoste, Jérémie & López-Ibáñez, Manuel & Stützle, Thomas, 2015. "Anytime Pareto local search," European Journal of Operational Research, Elsevier, vol. 243(2), pages 369-385.
  12. Ehrgott, Matthias & Köksalan, Murat & Kadziński, Miłosz & Deb, Kalyanmoy, 2026. "Fifty years of multi-objective optimization and decision-making: From mathematical programming to evolutionary computation," European Journal of Operational Research, Elsevier, vol. 330(1), pages 1-25.
  13. Yugong Dang & Hongen Ma & Jun Wang & Zhigang Zhou & Zhidong Xu, 2022. "An Improved Multi-Objective Optimization Decision Method Using NSGA-III for a Bivariate Precision Fertilizer Applicator," Agriculture, MDPI, vol. 12(9), pages 1-23, September.
  14. Lochtefeld, Darrell F. & Ciarallo, Frank W., 2015. "Multi-objectivization Via Decomposition: An analysis of helper-objectives and complete decomposition," European Journal of Operational Research, Elsevier, vol. 243(2), pages 395-404.
  15. Andrés Ruiz-Vélez & José García & Gaioz Partskhaladze & Julián Alcalá & Víctor Yepes, 2024. "Enhanced Structural Design of Prestressed Arched Trusses through Multi-Objective Optimization and Multi-Criteria Decision-Making," Mathematics, MDPI, vol. 12(16), pages 1-30, August.
  16. Gong, Wenyin & Cai, Zhihua, 2009. "An improved multiobjective differential evolution based on Pareto-adaptive [epsilon]-dominance and orthogonal design," European Journal of Operational Research, Elsevier, vol. 198(2), pages 576-601, October.
  17. Etay Hay & Sean Hill & Felix Schürmann & Henry Markram & Idan Segev, 2011. "Models of Neocortical Layer 5b Pyramidal Cells Capturing a Wide Range of Dendritic and Perisomatic Active Properties," PLOS Computational Biology, Public Library of Science, vol. 7(7), pages 1-18, July.
  18. Miettinen, Kaisa & Molina, Julián & González, Mercedes & Hernández-Díaz, Alfredo & Caballero, Rafael, 2009. "Using box indices in supporting comparison in multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 197(1), pages 17-24, August.
  19. Günter Rudolph & Oliver Schütze & Christian Grimme & Christian Domínguez-Medina & Heike Trautmann, 2016. "Optimal averaged Hausdorff archives for bi-objective problems: theoretical and numerical results," Computational Optimization and Applications, Springer, vol. 64(2), pages 589-618, June.
  20. Wagner, Markus & Bringmann, Karl & Friedrich, Tobias & Neumann, Frank, 2015. "Efficient optimization of many objectives by approximation-guided evolution," European Journal of Operational Research, Elsevier, vol. 243(2), pages 465-479.
  21. Liefooghe, Arnaud & Jourdan, Laetitia & Talbi, El-Ghazali, 2011. "A software framework based on a conceptual unified model for evolutionary multiobjective optimization: ParadisEO-MOEO," European Journal of Operational Research, Elsevier, vol. 209(2), pages 104-112, March.
  22. Andrea Ponti & Antonio Candelieri & Ilaria Giordani & Francesco Archetti, 2023. "Intrusion Detection in Networks by Wasserstein Enabled Many-Objective Evolutionary Algorithms," Mathematics, MDPI, vol. 11(10), pages 1-14, May.
  23. Carlos Cobos & Cristian Ordoñez & Jose Torres-Jimenez & Hugo Ordoñez & Martha Mendoza, 2024. "Weight Vector Definition for MOEA/D-Based Algorithms Using Augmented Covering Arrays for Many-Objective Optimization," Mathematics, MDPI, vol. 12(11), pages 1-39, May.
  24. Wu Lin & Qiuzhen Lin & Zexuan Zhu & Jianqiang Li & Jianyong Chen & Zhong Ming, 2019. "Evolutionary Search with Multiple Utopian Reference Points in Decomposition-Based Multiobjective Optimization," Complexity, Hindawi, vol. 2019, pages 1-22, April.
  25. David Quintana & Roman Denysiuk & Sandra García-Rodríguez & Antonio Gaspar-Cunha, 2017. "Portfolio implementation risk management using evolutionary multiobjective optimization," Post-Print hal-01881379, HAL.
  26. Schede, Elias & Tierney, Kevin, 2026. "A method for the automated configuration of anytime portfolios of algorithms," European Journal of Operational Research, Elsevier, vol. 329(2), pages 577-590.
  27. J. L. Redondo & J. Fernández & P. M. Ortigosa, 2017. "FEMOEA: a fast and efficient multi-objective evolutionary algorithm," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 85(1), pages 113-135, February.
  28. Zhenqiang Zhang & Sile Ma & Xiangyuan Jiang, 2022. "Research on Multi-Objective Multi-Robot Task Allocation by Lin–Kernighan–Helsgaun Guided Evolutionary Algorithms," Mathematics, MDPI, vol. 10(24), pages 1-17, December.
  29. Audet, Charles & Bigeon, Jean & Cartier, Dominique & Le Digabel, Sébastien & Salomon, Ludovic, 2021. "Performance indicators in multiobjective optimization," European Journal of Operational Research, Elsevier, vol. 292(2), pages 397-422.
  30. Jing, Wang & Aksoy, Muammer & Rahman, Md Arafatur & Alenezi, Ali H. & Deriche, Mohamed & Tao, Hai, 2026. "Multi-objective planning and optimal configuration of wind, solar, and energy storage in interconnected microgrid clusters using Vine Copula scenario generation and antlion optimization," Renewable Energy, Elsevier, vol. 256(PE).
  31. Ligang Wang & Zhiping Yang & Shivom Sharma & Alberto Mian & Tzu-En Lin & George Tsatsaronis & François Maréchal & Yongping Yang, 2018. "A Review of Evaluation, Optimization and Synthesis of Energy Systems: Methodology and Application to Thermal Power Plants," Energies, MDPI, vol. 12(1), pages 1-53, December.
  32. Chengyao Wen & Yin Lou, 2023. "On Finding Bi-objective Pareto-optimal Fraud Prevention Rule Sets for Fintech Applications," Papers 2311.00964, arXiv.org, revised Jun 2024.
  33. Taimoor Akhtar & Christine Shoemaker, 2016. "Multi objective optimization of computationally expensive multi-modal functions with RBF surrogates and multi-rule selection," Journal of Global Optimization, Springer, vol. 64(1), pages 17-32, January.
  34. Álvaro Rubio-Largo & Miguel Vega-Rodríguez & David González-Álvarez, 2015. "Multiobjective swarm intelligence for the traffic grooming problem," Computational Optimization and Applications, Springer, vol. 60(2), pages 479-511, March.
  35. Prashant Singh & Ivo Couckuyt & Khairy Elsayed & Dirk Deschrijver & Tom Dhaene, 2017. "Multi-objective Geometry Optimization of a Gas Cyclone Using Triple-Fidelity Co-Kriging Surrogate Models," Journal of Optimization Theory and Applications, Springer, vol. 175(1), pages 172-193, October.
  36. Angel E. Rodriguez-Fernandez & Hao Wang & Oliver Schütze, 2025. "Reference Set Generator: A Method for Pareto Front Approximation and Reference Set Generation," Mathematics, MDPI, vol. 13(10), pages 1-28, May.
  37. Zhang, XuWei & Liu, Hao & Tu, LiangPing & Zhao, Jian, 2020. "An efficient multi-objective optimization algorithm based on level swarm optimizer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 588-602.
  38. Tangpattanakul, Panwadee & Jozefowiez, Nicolas & Lopez, Pierre, 2015. "A multi-objective local search heuristic for scheduling Earth observations taken by an agile satellite," European Journal of Operational Research, Elsevier, vol. 245(2), pages 542-554.
  39. Yunsong Han & Hong Yu & Cheng Sun, 2017. "Simulation-Based Multiobjective Optimization of Timber-Glass Residential Buildings in Severe Cold Regions," Sustainability, MDPI, vol. 9(12), pages 1-18, December.
  40. Yeudiel Lara Moreno & Carlos Ignacio Hernández Castellanos, 2024. "A Hierarchical Approach to a Tri-Objective Portfolio Optimization Problem Considering an ESG Index," Mathematics, MDPI, vol. 12(19), pages 1-16, October.
  41. Mohammed Mahrach & Gara Miranda & Coromoto León & Eduardo Segredo, 2020. "Comparison between Single and Multi-Objective Evolutionary Algorithms to Solve the Knapsack Problem and the Travelling Salesman Problem," Mathematics, MDPI, vol. 8(11), pages 1-23, November.
  42. Laumanns, Marco & Zenklusen, Rico, 2011. "Stochastic convergence of random search methods to fixed size Pareto front approximations," European Journal of Operational Research, Elsevier, vol. 213(2), pages 414-421, September.
  43. Ivo Couckuyt & Dirk Deschrijver & Tom Dhaene, 2014. "Fast calculation of multiobjective probability of improvement and expected improvement criteria for Pareto optimization," Journal of Global Optimization, Springer, vol. 60(3), pages 575-594, November.
  44. Hyoungjin Kim & Meng-Sing Liou, 2013. "New fitness sharing approach for multi-objective genetic algorithms," Journal of Global Optimization, Springer, vol. 55(3), pages 579-595, March.
  45. Luan, Wenpeng & Tian, Longfei & Zhao, Bochao, 2023. "Leveraging hybrid probabilistic multi-objective evolutionary algorithm for dynamic tariff design," Applied Energy, Elsevier, vol. 342(C).
  46. Wenyu Wang & Christine A. Shoemaker, 2023. "Reference Vector Assisted Candidate Search with Aggregated Surrogate for Computationally Expensive Many Objective Optimization Problems," INFORMS Journal on Computing, INFORMS, vol. 35(2), pages 318-334, March.
  47. Londe, Mariana A. & Pessoa, Luciana S. & Andrade, Carlos E. & Resende, Mauricio G.C., 2025. "Biased random-key genetic algorithms: A review," European Journal of Operational Research, Elsevier, vol. 321(1), pages 1-22.
  48. Cosson, Raphaël & Santana, Roberto & Derbel, Bilel & Liefooghe, Arnaud, 2024. "On bi-objective combinatorial optimization with heterogeneous objectives," European Journal of Operational Research, Elsevier, vol. 319(1), pages 89-101.
  49. Allmendinger, Richard & Handl, Julia & Knowles, Joshua, 2015. "Multiobjective optimization: When objectives exhibit non-uniform latencies," European Journal of Operational Research, Elsevier, vol. 243(2), pages 497-513.
  50. Djaafar Zouache & Fouad Ben Abdelaziz, 2025. "MGDE: a many-objective guided differential evolution with strengthened dominance relation and bi-goal evolution," Annals of Operations Research, Springer, vol. 346(2), pages 1929-1966, March.
  51. Chengxin Wen & Hongbin Ma, 2023. "A Two-Stage Hypervolume-Based Evolutionary Algorithm for Many-Objective Optimization," Mathematics, MDPI, vol. 11(20), pages 1-25, October.
  52. Derbel, Bilel & Humeau, Jérémie & Liefooghe, Arnaud & Verel, Sébastien, 2014. "Distributed localized bi-objective search," European Journal of Operational Research, Elsevier, vol. 239(3), pages 731-743.
  53. Weihua Qian & Hang Xu & Houjin Chen & Lvqing Yang & Yuanguo Lin & Rui Xu & Mulan Yang & Minghong Liao, 2024. "A Synergistic MOEA Algorithm with GANs for Complex Data Analysis," Mathematics, MDPI, vol. 12(2), pages 1-30, January.
  54. Xiang Yu & Xueqing Zhang, 2017. "Multiswarm comprehensive learning particle swarm optimization for solving multiobjective optimization problems," PLOS ONE, Public Library of Science, vol. 12(2), pages 1-21, February.
  55. Kucukkoc, Ibrahim & Finco, Serena & Peron, Mirco & Aydin Keskin, Gulsen, 2025. "Including mechanical requirements in a bi-objective nesting and scheduling model for additive manufacturing," European Journal of Operational Research, Elsevier, vol. 325(3), pages 416-432.
  56. Aparicio, Juan & Monge, Juan F. & Ramón, Nuria, 2021. "A new measure of technical efficiency in data envelopment analysis based on the maximization of hypervolumes: Benchmarking, properties and computational aspects," European Journal of Operational Research, Elsevier, vol. 293(1), pages 263-275.
  57. Ying Xu & Rong Qu & Renfa Li, 2013. "A simulated annealing based genetic local search algorithm for multi-objective multicast routing problems," Annals of Operations Research, Springer, vol. 206(1), pages 527-555, July.
  58. Guerreiro, Andreia P. & Fonseca, Carlos M., 2020. "An analysis of the Hypervolume Sharpe-Ratio Indicator," European Journal of Operational Research, Elsevier, vol. 283(2), pages 614-629.
  59. Hang Xu, 2024. "A Dynamic Tasking-Based Evolutionary Algorithm for Bi-Objective Feature Selection," Mathematics, MDPI, vol. 12(10), pages 1-23, May.
  60. Joshua Q. Hale & Helin Zhu & Enlu Zhou, 2020. "Domination Measure: A New Metric for Solving Multiobjective Optimization," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 565-581, July.
  61. Rahat, Alma A.M. & Wang, Chunlin & Everson, Richard M. & Fieldsend, Jonathan E., 2018. "Data-driven multi-objective optimisation of coal-fired boiler combustion systems," Applied Energy, Elsevier, vol. 229(C), pages 446-458.
  62. Ouyang, Haibin & Chen, Jianhong & Li, Steven & Xiang, Jianhua & Zhan, Zhi-Hui, 2023. "Altruistic population algorithm: A metaheuristic search algorithm for solving multimodal multi-objective optimization problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 296-319.
  63. Matheus Bernardelli Moraes & Guilherme Palermo Coelho, 2024. "A benchmark generator for scenario-based discrete optimization," Computational Optimization and Applications, Springer, vol. 88(1), pages 349-378, May.
  64. Wang, Ligang & Lampe, Matthias & Voll, Philip & Yang, Yongping & Bardow, André, 2016. "Multi-objective superstructure-free synthesis and optimization of thermal power plants," Energy, Elsevier, vol. 116(P1), pages 1104-1116.
  65. Kardous, Faten & Mejdi, Lazher & Grayaa, Khaled, 2025. "Multi-objectives ML-based online MPC for EV charging: A case study of a grid-connected large-scale charging infrastructure supported by PV and battery storage system," Renewable Energy, Elsevier, vol. 255(C).
  66. Braun, Marlon & Shukla, Pradyumn, 2024. "On cone-based decompositions of proper Pareto-optimality in multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 317(2), pages 592-602.
  67. Sergio Cabello, 2023. "Faster distance-based representative skyline and k-center along pareto front in the plane," Journal of Global Optimization, Springer, vol. 86(2), pages 441-466, June.
  68. Jesús Martínez-Frutos & David Herrero-Pérez, 2016. "Kriging-based infill sampling criterion for constraint handling in multi-objective optimization," Journal of Global Optimization, Springer, vol. 64(1), pages 97-115, January.
  69. António Gaspar-Cunha & Paulo Costa & Wagner de Campos Galuppo & João Miguel Nóbrega & Fernando Duarte & Lino Costa, 2021. "Multi-Objective Optimization of Plastics Thermoforming," Mathematics, MDPI, vol. 9(15), pages 1-20, July.
  70. José Antonio Castán Rocha & Alejandro Santiago & Alejandro H. García-Ruiz & Jesús David Terán-Villanueva & Salvador Ibarra Martínez & Mayra Guadalupe Treviño Berrones, 2024. "Pareto Approximation Empirical Results of Energy-Aware Optimization for Precedence-Constrained Task Scheduling Considering Switching Off Completely Idle Machines," Mathematics, MDPI, vol. 12(23), pages 1-53, November.
  71. Zhong-Zhong Jiang & Jiabin Liu & Hongliang Yi & Minghe Sun, 2026. "A multi-objective evolutionary algorithm based on incremental support vector regression for the irregular strip packing problem," Annals of Operations Research, Springer, vol. 359(2), pages 2149-2187, April.
  72. Raimundo, Marcos M. & Ferreira, Paulo A.V. & Von Zuben, Fernando J., 2020. "An extension of the non-inferior set estimation algorithm for many objectives," European Journal of Operational Research, Elsevier, vol. 284(1), pages 53-66.
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