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An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method

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Cited by:

  1. van der Plas, C. & Tervonen, T. & Dekker, R., 2012. "Evaluation of scalarization methods and NSGA-II/SPEA2 genetic algorithms for multi-objective optimization of green supply chain design," Econometric Institute Research Papers EI2012-24, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  2. Nicolas Dupin & El-Ghazali Talbi, 2021. "Matheuristics to optimize refueling and maintenance planning of nuclear power plants," Journal of Heuristics, Springer, vol. 27(1), pages 63-105, April.
  3. Pouria Khodabandeh & Vahid Kayvanfar & Majid Rafiee & Frank Werner, 2021. "A Bi-Objective Home Health Care Routing and Scheduling Model with Considering Nurse Downgrading Costs," IJERPH, MDPI, vol. 18(3), pages 1-24, January.
  4. Mesquita-Cunha, Mariana & Figueira, José Rui & Barbosa-Póvoa, Ana Paula, 2023. "New ϵ−constraint methods for multi-objective integer linear programming: A Pareto front representation approach," European Journal of Operational Research, Elsevier, vol. 306(1), pages 286-307.
  5. Gutjahr, Walter J. & Dzubur, Nada, 2016. "Bi-objective bilevel optimization of distribution center locations considering user equilibria," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 85(C), pages 1-22.
  6. Makboul, Salma & Kharraja, Said & Abbassi, Abderrahman & El Hilali Alaoui, Ahmed, 2024. "A multiobjective approach for weekly Green Home Health Care routing and scheduling problem with care continuity and synchronized services," Operations Research Perspectives, Elsevier, vol. 12(C).
  7. Rong, Aiying & Figueira, José Rui, 2013. "A reduction dynamic programming algorithm for the bi-objective integer knapsack problem," European Journal of Operational Research, Elsevier, vol. 231(2), pages 299-313.
  8. Melih Ozlen & Benjamin A. Burton & Cameron A. G. MacRae, 2014. "Multi-Objective Integer Programming: An Improved Recursive Algorithm," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 470-482, February.
  9. Özlen, Melih & Azizoglu, Meral, 2009. "Multi-objective integer programming: A general approach for generating all non-dominated solutions," European Journal of Operational Research, Elsevier, vol. 199(1), pages 25-35, November.
  10. Natashia Boland & Hadi Charkhgard & Martin Savelsbergh, 2015. "A Criterion Space Search Algorithm for Biobjective Integer Programming: The Balanced Box Method," INFORMS Journal on Computing, INFORMS, vol. 27(4), pages 735-754, November.
  11. Kirlik, Gokhan & Sayın, Serpil, 2014. "A new algorithm for generating all nondominated solutions of multiobjective discrete optimization problems," European Journal of Operational Research, Elsevier, vol. 232(3), pages 479-488.
  12. Xidonas, Panagiotis & Mavrotas, George & Zopounidis, Constantin & Psarras, John, 2011. "IPSSIS: An integrated multicriteria decision support system for equity portfolio construction and selection," European Journal of Operational Research, Elsevier, vol. 210(2), pages 398-409, April.
  13. Tsionas, Mike G., 2019. "Multi-objective optimization using statistical models," European Journal of Operational Research, Elsevier, vol. 276(1), pages 364-378.
  14. Rong, Aiying & Figueira, José Rui, 2014. "Dynamic programming algorithms for the bi-objective integer knapsack problem," European Journal of Operational Research, Elsevier, vol. 236(1), pages 85-99.
  15. Chen, Yingzhen & Zhao, Qiuhong & Huang, Kai & Xi, Xunzhuo, 2022. "A Bi-objective optimization model for contract design of humanitarian relief goods procurement considering extreme disasters," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
  16. Angelo Aliano Filho & Antonio Carlos Moretti & Margarida Vaz Pato & Washington Alves Oliveira, 2021. "An exact scalarization method with multiple reference points for bi-objective integer linear optimization problems," Annals of Operations Research, Springer, vol. 296(1), pages 35-69, January.
  17. Gutjahr, Walter J., 2015. "Bi-Objective Multi-Mode Project Scheduling Under Risk Aversion," European Journal of Operational Research, Elsevier, vol. 246(2), pages 421-434.
  18. Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
  19. Braekers, Kris & Hartl, Richard F. & Parragh, Sophie N. & Tricoire, Fabien, 2016. "A bi-objective home care scheduling problem: Analyzing the trade-off between costs and client inconvenience," European Journal of Operational Research, Elsevier, vol. 248(2), pages 428-443.
  20. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2014. "The bi-objective Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 232(3), pages 464-478.
  21. Kadziński, Miłosz & Tervonen, Tommi & Tomczyk, Michał K. & Dekker, Rommert, 2017. "Evaluation of multi-objective optimization approaches for solving green supply chain design problems," Omega, Elsevier, vol. 68(C), pages 168-184.
  22. Ghasemi, Peiman & Khalili-Damghani, Kaveh & Hafezalkotob, Ashkan & Raissi, Sadigh, 2020. "Stochastic optimization model for distribution and evacuation planning (A case study of Tehran earthquake)," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
  23. Hartillo-Hermoso, María Isabel & Jiménez-Tafur, Haydee & Ucha-Enríquez, José María, 2020. "An exact algebraic ϵ-constraint method for bi-objective linear integer programming based on test sets," European Journal of Operational Research, Elsevier, vol. 282(2), pages 453-463.
  24. Walter Gutjahr & Alois Pichler, 2016. "Stochastic multi-objective optimization: a survey on non-scalarizing methods," Annals of Operations Research, Springer, vol. 236(2), pages 475-499, January.
  25. Bashir Bashir & Özlem Karsu, 2022. "Solution approaches for equitable multiobjective integer programming problems," Annals of Operations Research, Springer, vol. 311(2), pages 967-995, April.
  26. Najmesadat Nazemi & Sophie N. Parragh & Walter J. Gutjahr, 2022. "Bi-objective facility location under uncertainty with an application in last-mile disaster relief," Annals of Operations Research, Springer, vol. 319(2), pages 1689-1716, December.
  27. Kerstin Dächert & Tino Fleuren & Kathrin Klamroth, 2024. "A simple, efficient and versatile objective space algorithm for multiobjective integer programming," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(1), pages 351-384, August.
  28. Divkovic, Denis & Knorr, Lukas & Schwesig, Ramon & Meschede, Henning, 2024. "Effects on dimensioning of heat supply technologies for district heating under consideration of future developments regarding investment costs and emission factors," Energy, Elsevier, vol. 301(C).
  29. Oylum S¸eker & Mucahit Cevik & Merve Bodur & Young Lee & Mark Ruschin, 2023. "A Multiobjective Approach for Sector Duration Optimization in Stereotactic Radiosurgery Treatment Planning," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 248-264, January.
  30. Soriano, Adria & Gansterer, Margaretha & Hartl, Richard F., 2023. "The multi-depot vehicle routing problem with profit fairness," International Journal of Production Economics, Elsevier, vol. 255(C).
  31. Ceyhan, Gökhan & Köksalan, Murat & Lokman, Banu, 2019. "Finding a representative nondominated set for multi-objective mixed integer programs," European Journal of Operational Research, Elsevier, vol. 272(1), pages 61-77.
  32. Hanyu Lu & Lufei Huang, 2021. "Optimization of Shore Power Deployment in Green Ports Considering Government Subsidies," Sustainability, MDPI, vol. 13(4), pages 1-14, February.
  33. Tolga Bektaş, 2018. "Disjunctive Programming for Multiobjective Discrete Optimisation," INFORMS Journal on Computing, INFORMS, vol. 30(4), pages 625-633, November.
  34. Julius Bauß & Michael Stiglmayr, 2024. "Augmenting bi-objective branch and bound by scalarization-based information," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 100(1), pages 85-121, August.
  35. Walter J. Gutjahr & Alois Pichler, 2016. "Stochastic multi-objective optimization: a survey on non-scalarizing methods," Annals of Operations Research, Springer, vol. 236(2), pages 475-499, January.
  36. Soriano, Adria & Gansterer, Margaretha & Hartl, Richard F., 2022. "Reprint of: The multi-depot vehicle routing problem with profit fairness," International Journal of Production Economics, Elsevier, vol. 250(C).
  37. Klamroth, Kathrin & Lacour, Renaud & Vanderpooten, Daniel, 2015. "On the representation of the search region in multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 245(3), pages 767-778.
  38. Zhao, Ruijia & Song, Yunting & Wang, Haoze & Xie, Xinlian, 2022. "Bi-objective optimisation model and its exact solution method of profit and market share of novel repair-and-support ships based on game theory," Omega, Elsevier, vol. 113(C).
  39. de Souza Dutra, Michael David & da Conceição Júnior, Gerson & de Paula Ferreira, William & Campos Chaves, Matheus Roberto, 2020. "A customized transition towards smart homes: A fast framework for economic analyses," Applied Energy, Elsevier, vol. 262(C).
  40. Mavrotas, George & Florios, Kostas, 2013. "An improved version of the augmented epsilon-constraint method (AUGMECON2) for finding the exact Pareto set in Multi-Objective Integer Programming problems," MPRA Paper 105034, University Library of Munich, Germany.
  41. Hao Yu & Wei Deng Solvang, 2016. "An Improved Multi-Objective Programming with Augmented ε -Constraint Method for Hazardous Waste Location-Routing Problems," IJERPH, MDPI, vol. 13(6), pages 1-21, May.
  42. Sunney Fotedar & Ann-Brith Strömberg & Torgny Almgren & Stefan Cedergren, 2023. "A criterion space decomposition approach to generalized tri-objective tactical resource allocation," Computational Management Science, Springer, vol. 20(1), pages 1-28, December.
  43. Tsai, Shing Chih & Chen, Sin Ting, 2017. "A simulation-based multi-objective optimization framework: A case study on inventory management," Omega, Elsevier, vol. 70(C), pages 148-159.
  44. Konur, Dinçer & Campbell, James F. & Monfared, Sepideh A., 2017. "Economic and environmental considerations in a stochastic inventory control model with order splitting under different delivery schedules among suppliers," Omega, Elsevier, vol. 71(C), pages 46-65.
  45. Florios, Kostas & Mavrotas, George & Diakoulaki, Danae, 2010. "Solving multiobjective, multiconstraint knapsack problems using mathematical programming and evolutionary algorithms," European Journal of Operational Research, Elsevier, vol. 203(1), pages 14-21, May.
  46. Renata Turkeš & Daniel Palhazi Cuervo & Kenneth Sörensen, 2019. "Pre-positioning of emergency supplies: does putting a price on human life help to save lives?," Annals of Operations Research, Springer, vol. 283(1), pages 865-895, December.
  47. Mohammad S. Roni & Sandra D. Eksioglu & Kara G. Cafferty & Jacob J. Jacobson, 2017. "A multi-objective, hub-and-spoke model to design and manage biofuel supply chains," Annals of Operations Research, Springer, vol. 249(1), pages 351-380, February.
  48. Takfarinas Saber & Dominik Naeher & Philippe Lombaerde, 2023. "On the Optimal Size and Composition of Customs Unions: An Evolutionary Approach," Computational Economics, Springer;Society for Computational Economics, vol. 62(4), pages 1457-1479, December.
  49. Saeedeh Anvari & Metin Turkay, 2017. "The facility location problem from the perspective of triple bottom line accounting of sustainability," International Journal of Production Research, Taylor & Francis Journals, vol. 55(21), pages 6266-6287, November.
  50. Zajac, Sandra & Huber, Sandra, 2021. "Objectives and methods in multi-objective routing problems: a survey and classification scheme," European Journal of Operational Research, Elsevier, vol. 290(1), pages 1-25.
  51. Karsu, Özlem & Morton, Alec, 2014. "Incorporating balance concerns in resource allocation decisions: A bi-criteria modelling approach," Omega, Elsevier, vol. 44(C), pages 70-82.
  52. Chen, Gang & Govindan, Kannan & Golias, Mihalis M., 2013. "Reducing truck emissions at container terminals in a low carbon economy: Proposal of a queueing-based bi-objective model for optimizing truck arrival pattern," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 55(C), pages 3-22.
  53. Chandra Ade Irawan & Peter S. Hofman & Hing Kai Chan & Antony Paulraj, 2022. "A stochastic programming model for an energy planning problem: formulation, solution method and application," Annals of Operations Research, Springer, vol. 311(2), pages 695-730, April.
  54. Knorr, Lukas & Schlosser, Florian & Horstmann, Nils & Divkovic, Denis & Meschede, Henning, 2024. "Flexible operation and integration of high-temperature heat pumps using large temperature glides," Applied Energy, Elsevier, vol. 368(C).
  55. David Bergman & Merve Bodur & Carlos Cardonha & Andre A. Cire, 2022. "Network Models for Multiobjective Discrete Optimization," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 990-1005, March.
  56. Panagiotis Xidonas & George Mavrotas & John Psarras, 2010. "Equity portfolio construction and selection using multiobjective mathematical programming," Journal of Global Optimization, Springer, vol. 47(2), pages 185-209, June.
  57. Mavrotas, George & Florios, Kostas & Figueira, José Rui, 2015. "An improved version of a core based algorithm for the multi-objective multi-dimensional knapsack problem: A computational study and comparison with meta-heuristics," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 25-43.
  58. Christian Burkart & Pamela C. Nolz & Walter J. Gutjahr, 2017. "Modelling beneficiaries’ choice in disaster relief logistics," Annals of Operations Research, Springer, vol. 256(1), pages 41-61, September.
  59. Tobias Kuhn & Stefan Ruzika, 2017. "A coverage-based Box-Algorithm to compute a representation for optimization problems with three objective functions," Journal of Global Optimization, Springer, vol. 67(3), pages 581-600, March.
  60. Chebbi, Olfa & Chaouachi, Jouhaina, 2016. "Reducing the wasted transportation capacity of Personal Rapid Transit systems: An integrated model and multi-objective optimization approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 236-258.
  61. Kerstin Dächert & Kathrin Klamroth, 2015. "A linear bound on the number of scalarizations needed to solve discrete tricriteria optimization problems," Journal of Global Optimization, Springer, vol. 61(4), pages 643-676, April.
  62. Burdett, Robert & Kozan, Erhan, 2016. "A multi-criteria approach for hospital capacity analysis," European Journal of Operational Research, Elsevier, vol. 255(2), pages 505-521.
  63. Florios, Kostas & Mavrotas, George, 2014. "Generation of the exact Pareto set in multi-objective traveling salesman and set covering problems," MPRA Paper 105074, University Library of Munich, Germany.
  64. Bérubé, Jean-François & Gendreau, Michel & Potvin, Jean-Yves, 2009. "An exact [epsilon]-constraint method for bi-objective combinatorial optimization problems: Application to the Traveling Salesman Problem with Profits," European Journal of Operational Research, Elsevier, vol. 194(1), pages 39-50, April.
  65. Liying Yan & Manel Grifoll & Hongxiang Feng & Pengjun Zheng & Chunliang Zhou, 2022. "Optimization of Urban Distribution Centres: A Multi-Stage Dynamic Location Approach," Sustainability, MDPI, vol. 14(7), pages 1-16, March.
  66. Zhou, Liping & Geng, Na & Jiang, Zhibin & Wang, Xiuxian, 2018. "Multi-objective capacity allocation of hospital wards combining revenue and equity," Omega, Elsevier, vol. 81(C), pages 220-233.
  67. Peter Reiter & Walter Gutjahr, 2012. "Exact hybrid algorithms for solving a bi-objective vehicle routing problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 19-43, March.
  68. Ioanna Makarouni & John Psarras & Eleftherios Siskos, 2015. "Interactive bicriterion decision support for a large scale industrial scheduling system," Annals of Operations Research, Springer, vol. 227(1), pages 45-61, April.
  69. Alexandros Nikas & Angelos Fountoulakis & Aikaterini Forouli & Haris Doukas, 2022. "A robust augmented ε-constraint method (AUGMECON-R) for finding exact solutions of multi-objective linear programming problems," Operational Research, Springer, vol. 22(2), pages 1291-1332, April.
  70. Iago A. Carvalho & Marco A. Ribeiro, 2020. "An exact approach for the Minimum-Cost Bounded-Error Calibration Tree problem," Annals of Operations Research, Springer, vol. 287(1), pages 109-126, April.
  71. Özarık, Sami Serkan & Lokman, Banu & Köksalan, Murat, 2020. "Distribution based representative sets for multi-objective integer programs," European Journal of Operational Research, Elsevier, vol. 284(2), pages 632-643.
  72. Mavrotas, George & Figueira, José Rui & Florios, Kostas, 2009. "Solving the bi-objective multidimensional knapsack problem exploiting the concept of core," MPRA Paper 105087, University Library of Munich, Germany.
  73. George Mavrotas & José Figueira & Alexandros Antoniadis, 2011. "Using the idea of expanded core for the exact solution of bi-objective multi-dimensional knapsack problems," Journal of Global Optimization, Springer, vol. 49(4), pages 589-606, April.
  74. Dinçer Konur & Hadi Farhangi & Cihan H. Dagli, 2016. "A multi-objective military system of systems architecting problem with inflexible and flexible systems: formulation and solution methods," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(4), pages 967-1006, October.
  75. Tiong, Achara & Vergara, Hector A., 2023. "A two-stage stochastic multi-objective resilience optimization model for network expansion of interdependent power–water networks under disruption," International Journal of Critical Infrastructure Protection, Elsevier, vol. 40(C).
  76. Wang, Chen & Zhang, Shenghui & Liao, Peng & Fu, Tonglin, 2022. "Wind speed forecasting based on hybrid model with model selection and wind energy conversion," Renewable Energy, Elsevier, vol. 196(C), pages 763-781.
  77. Ramos, Tânia Rodrigues Pereira & Gomes, Maria Isabel & Barbosa-Póvoa, Ana Paula, 2014. "Planning a sustainable reverse logistics system: Balancing costs with environmental and social concerns," Omega, Elsevier, vol. 48(C), pages 60-74.
  78. Apichit Maneengam, 2023. "Multi-Objective Optimization of the Multimodal Routing Problem Using the Adaptive ε-Constraint Method and Modified TOPSIS with the D-CRITIC Method," Sustainability, MDPI, vol. 15(15), pages 1-22, August.
  79. Fahimnia, Behnam & Jabbarzadeh, Armin & Ghavamifar, Ali & Bell, Michael, 2017. "Supply chain design for efficient and effective blood supply in disasters," International Journal of Production Economics, Elsevier, vol. 183(PC), pages 700-709.
  80. de Souza Dutra, Michael David & Anjos, Miguel F. & Le Digabel, Sébastien, 2019. "A general framework for customized transition to smart homes," Energy, Elsevier, vol. 189(C).
  81. William Pettersson & Melih Ozlen, 2020. "Multiobjective Integer Programming: Synergistic Parallel Approaches," INFORMS Journal on Computing, INFORMS, vol. 32(2), pages 461-472, April.
  82. Dächert, Kerstin & Klamroth, Kathrin & Lacour, Renaud & Vanderpooten, Daniel, 2017. "Efficient computation of the search region in multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 260(3), pages 841-855.
  83. Wang, Guotao & Zhou, Yifan & Lin, Zhenjia & Zhu, Shibo & Qiu, Rui & Chen, Yuntian & Yan, Jinyue, 2024. "Robust energy management through aggregation of flexible resources in multi-home micro energy hub," Applied Energy, Elsevier, vol. 357(C).
  84. Gokhan Kirlik & Serpil Sayın, 2015. "Computing the nadir point for multiobjective discrete optimization problems," Journal of Global Optimization, Springer, vol. 62(1), pages 79-99, May.
  85. Carlos García-Alonso & Leonor Pérez-Naranjo & Juan Fernández-Caballero, 2014. "Multiobjective evolutionary algorithms to identify highly autocorrelated areas: the case of spatial distribution in financially compromised farms," Annals of Operations Research, Springer, vol. 219(1), pages 187-202, August.
  86. Rodríguez-Díaz, A. & Adenso-Díaz, B. & González-Torre, P.L., 2019. "Improving aircraft approach operations taking into account noise and fuel consumption," Journal of Air Transport Management, Elsevier, vol. 77(C), pages 46-56.
  87. Schmidt, Adam & Albert, Laura A. & Zheng, Kaiyue, 2021. "Risk management for cyber-infrastructure protection: A bi-objective integer programming approach," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
  88. Doğan, Ilgın & Lokman, Banu & Köksalan, Murat, 2022. "Representing the nondominated set in multi-objective mixed-integer programs," European Journal of Operational Research, Elsevier, vol. 296(3), pages 804-818.
  89. Soroudi, Alireza & Rabiee, Abbas & Keane, Andrew, 2017. "Distribution networks' energy losses versus hosting capacity of wind power in the presence of demand flexibility," Renewable Energy, Elsevier, vol. 102(PB), pages 316-325.
  90. Banu Lokman & Murat Köksalan, 2013. "Finding all nondominated points of multi-objective integer programs," Journal of Global Optimization, Springer, vol. 57(2), pages 347-365, October.
  91. Holzmann, Tim & Smith, J.C., 2018. "Solving discrete multi-objective optimization problems using modified augmented weighted Tchebychev scalarizations," European Journal of Operational Research, Elsevier, vol. 271(2), pages 436-449.
  92. Karl F. Doerner & Vittorio Maniezzo, 2018. "Metaheuristic search techniques for multi-objective and stochastic problems: a history of the inventions of Walter J. Gutjahr in the past 22 years," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 331-356, June.
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