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AAS Problems: V. S. Amaral, P. B. Assunção, D. R. Souza, "A Derivative-Free Proximal Method with Quadratic Modeling for Composite Multiobjective Optimization in the Hölder Setting," 2025. arXiv:2508.20071
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AP Problems: Md. A. T. Ansary, & G. Panda, "A modified Quasi-Newton method for vector optimization problem," Optimization, vol. 64, no. 11, pp. 2289–2306, 2014. DOI: 10.1080/02331934.2014.947500
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BK Problems: T. Binh To and U. Korn, "An evolution strategy for the multiobjective optimization," The Second International Conference on Genetic Algorithms, Brno, Czech Republic, 1996.
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DD Problems: I. Das and J. E. Dennis, "Normal-boundary intersection: a new method for generating the Pareto surface in nonlinear multicriteria optimization problems," SIAM Journal on Optimization, vol. 8, no. 3, pp. 631–657, 1998. DOI: 10.1137/S1052623496307510
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DGO Problems: D. Dumitrescu, C. Grosan, and M. Oltean, "A new evolutionary approach for multiobjective optimization," Studia Universitatis Babes-Bolyai, Informatica, vol. XLV, no. 1, pp. 51–68, 2000.
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DTLZ Problems: Deb, K., Thiele, L., Laumanns, M., Zitzler, E. (2005). Scalable Test Problems for Evolutionary Multiobjective Optimization. In: Abraham, A., Jain, L., Goldberg, R. (eds) Evolutionary Multiobjective Optimization. Advanced Information and Knowledge Processing. Springer, London. DOI: 10.1007/1-84628-137-7_6
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FA Problems: A. Farhang-Mehr and S. Azarm, "Diversity assessment of Pareto optimal solution sets: an entropy approach," Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600), Honolulu, HI, USA, 2002, pp. 723-728 vol.1, DOI: 10.1109/CEC.2002.1007015.
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FAR Problems: M. Farina, "A neural network based generalized response surface multiobjective evolutionary algorithm," Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600), Honolulu, HI, USA, 2002, pp. 956–961, DOI: 10.1109/CEC.2002.1007054.
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FDS Problems: J. Fliege, L. M. Graña Drummond, and B. F. Svaiter, "Newton's Method for Multiobjective Optimization," SIAM Journal on Optimization, vol. 20, no. 2, pp. 602-626, 2009. DOI: 10.1137/08071692X.
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FF Problems: C. M. Fonseca and P. J. Fleming, "An Overview of Evolutionary Algorithms in Multiobjective Optimization," Evolutionary Computation, vol. 3, no. 1, pp. 1-16, March 1995. DOI: 10.1162/evco.1995.3.1.1.
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Hil Problems: C. Hillermeier, "Generalized Homotopy Approach to Multiobjective Optimization," Journal of Optimization Theory and Applications, vol. 110, pp. 557–583, 2001. DOI: 10.1023/A:1017536311488.
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IKK Problems: K. Ikeda, H. Kita and S. Kobayashi, "Failure of Pareto-based MOEAs: does non-dominated really mean near to optimal?," Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546), Seoul, Korea (South), 2001, pp. 957-962 vol. 2. DOI: 10.1109/CEC.2001.934293.
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IM Problems: H. Ishibuchi and T. Murata, "A multi-objective genetic local search algorithm and its application to flowshop scheduling," in IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews), vol. 28, no. 3, pp. 392-403, Aug. 1998, DOI: 10.1109/5326.704576.
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JOS Problems: Y. Jin, M. Olhofer and B. Sendhoff, "Dynamic Weighted Aggregation for evolutionary multi-objective optimization: why does it work and how?," Proceedings of the 3rd Annual Conference on Genetic and Evolutionary Computation (GECCO'01), San Francisco, California, 2001, pp. 1042-1049.
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KW Problems: I.Y. Kim, O.L. de Weck, "Adaptive weighted-sum method for bi-objective optimization: Pareto front generation," Structural and Multidisciplinary Optimization, vol. 29, no. 2, pp. 149-158, 2005. DOI: 10.1007/s00158-004-0465-1
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LE Problems: J. Lis and A. E. Eiben, "A multi-sexual genetic algorithm for multiobjective optimization," Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97), Indianapolis, IN, USA, 1997, pp. 59-64, DOI: 10.1109/ICEC.1997.592269.
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Lov Problems: A. Lovison, "Singular Continuation: Generating Piecewise Linear Approximations to Pareto Sets via Global Analysis," SIAM Journal on Optimization, 21(2), 463–490, 2011. DOI: 10.1137/100784746
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LTDZ Problem: M. Laumanns, L. Thiele, K. Deb, E. Zitzler, "Combining Convergence and Diversity in Evolutionary Multiobjective Optimization," Evolutionary Computation, 10(3):263–282, 2002. DOI: 10.1162/106365602760234108
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MGH Problems: J. J. Moré, B. S. Garbow, K. E. Hillstrom, "Testing Unconstrained Optimization Software," ACM Trans. Math. Softw., 7(1):17–41, 1981. DOI: 10.1145/355934.355936
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MLF Problems: A. Molyneaux, D. Favrat, and G. B. Leyland, "A New Clustering Evolutionary Multi-Objective Optimisation Technique," Third International Symposium on Adaptative Systems, Institute of Cybernetics, Mathematics and Physics, 2001, pp. 41–47. URL
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MMR Problems: E. Miglierina, E. Molho, M. C. Recchioni, "Box-constrained multi-objective optimization: A gradient-like method without 'a priori' scalarization," European Journal of Operational Research, 188(3), 662–682, 2008. DOI: 10.1016/j.ejor.2007.05.037
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MOP Problems (Van Veldhuizen set): S. Huband, P. Hingston, L. Barone, L. While, "A review of multiobjective test problems and a scalable test problem toolkit," IEEE Transactions on Evolutionary Computation, 10(5), 477–506, 2006. DOI: 10.1109/TEVC.2005.861417
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PNR: M. Preuss, B. Naujoks, G. Rudolph, "Pareto Set and EMOA Behavior for Simple Multimodal Multiobjective Functions," in PPSN IX, 2006. Springer, Berlin, Heidelberg. DOI: 10.1007/11844297_52
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QV1: D. Quagliarella, A. Vicini, "Sub-population policies for a parallel multiobjective genetic algorithm with applications to wing design," SMC'98 Conference Proceedings, 1998, pp. 3142–3147. DOI: 10.1109/ICSMC.1998.726485
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SD: W. Stadler, J. Dauer, "Multicriteria Optimization In Engineering: A Tutorial And Survey," in Structural Optimization: Status And Promise, AIAA, 1992. DOI: 10.2514/5.9781600866234.0209.0249
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SK Problems: K. Socha and M. Kisiel-Dorohinicki, "Agent-based evolutionary multiobjective optimisation," Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600), Honolulu, HI, USA, 2002, pp. 109–114 vol.1. DOI: 10.1109/CEC.2002.1006218
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SLCDT: O. Schütze, M. Laumanns, C. A. Coello Coello, M. Dellnitz, E.-G. Talbi, "Convergence of stochastic search algorithms to finite size pareto set approximations," Journal of Global Optimization 41(4): 559–577, 2008. DOI: 10.1007/s10898-007-9265-7
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SP: M. Sefrioui, J. Perlaux, "Nash genetic algorithms: examples and applications," Proceedings of the 2000 Congress on Evolutionary Computation (CEC'00), 2000, pp. 509–516. DOI: 10.1109/CEC.2000.870339
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SSFYY: M.-B. Shim, M.-W. Suh, T. Furukawa, G. Yagawa, S. Yoshimura, "Pareto-based continuous evolutionary algorithms for multiobjective optimization," Engineering Computations, 19(1), 22–48, 2002. DOI: 10.1108/02644400210413649
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TKLY Problems: K. C. Tan, E. F. Khor, T. H. Lee, Y. J. Yang, "A Tabu-Based Exploratory Evolutionary Algorithm for Multiobjective Optimization," Artificial Intelligence Review, 19(3), 231–260, 2003. DOI: 10.1023/A:1022863019997
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Toi Problems: P. L. Toint, "Test problems for partially separable optimization and results for the routine PSPMIN," Technical Report 83-04, University of Namur, Belgium, 1983. URL. See also: K. Mita, E. H. Fukuda, N. Yamashita, "Nonmonotone line searches for unconstrained multiobjective optimization problems," Journal of Global Optimization, 75, 63-90, 2019. DOI: 10.1007/s10898-019-00802-0
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VU Problems: M. Valenzuela-Rendón and E. Uresti-Charre, "A nongenerational genetic algorithm for multiobjective optimization," Proceedings of the 7th International Conference on Genetic Algorithms, 658-665, Jul. 1997.
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ZDT Problems: E. Zitzler, K. Deb, and L. Thiele, "Comparison of Multiobjective Evolutionary Algorithms: Empirical Results," Evolutionary Computation, vol. 8, no. 2, pp. 173-195, 2000. DOI: 10.1162/106365600568202
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ZLT Problems: Eckart Zitzler, Marco Laumanns, and Lothar Thiele, "SPEA2: Improving the strength Pareto evolutionary algorithm," 2001. URL