Problem Families

MOProblems.jl groups benchmark constructors by their source family or publication. Each constructor returns an MOProblem instance with effective dimensions, objective and constraint callables, variable and constraint bounds when available, and registered analytical derivatives when implemented.

Documented families

• Amaral–Assunção–Souza (AAS): two fixed-dimension problems from Amaral, Assunção, and Souza [1].
• Ansary–Panda (AP): four fixed-dimension problems from Md. A. T. Ansary and G. Panda [2].
• Binh–Korn (BK): one fixed-dimension problem from To Thanh Binh and Ulrich Korn [3].
• Das–Dennis (DD): one constrained, fixed-dimension problem from Indraneel Das and J. E. Dennis. [4].
• Dumitrescu-Grosan-Oltean (DGO): three fixed-dimension problems from Crina Grosan, Dan Dumitrescu, and Mihai Oltean [5].
• Deb–Thiele–Laumanns–Zitzler (DTLZ): scalable test problems from Deb, Thiele, Laumanns, and Zitzler [6].
• Farhang-Mehr-Azarm (FA): one fixed-dimension problem from A. Farhang-Mehr and S. Azarm [7].
• Farina (Far): one fixed-dimension problem originating in M. Farina [8], using the corrected formulation cataloged by Huband et al. [9].
• Fliege–Drummond–Svaiter (FDS): one scalable, three-objective problem introduced by J. Fliege, L. M. Graña Drummond, and B. F. Svaiter [10].
• Fonseca–Fleming (FF): one fixed-dimension problem from Carlos M. Fonseca and Peter J. Fleming [11].
• Hillermeier (Hil): one unconstrained, fixed-dimension academic problem from C. Hillermeier [12].
• Ikeda–Kita–Kobayashi (IKK): one fixed-dimension problem from K. Ikeda, H. Kita, and S. Kobayashi [13].
• Ishibuchi–Murata (IM): one fixed-dimension problem from H. Ishibuchi and T. Murata [14].
• Jin–Olhofer–Sendhoff (JOS): two variable-dimension problems from Yaochu Jin, Markus Olhofer, and Bernhard Sendhoff [15], using source-order numbering and documenting the alternative Huband catalog name.
• Kim–de Weck (KW): one fixed-dimension problem from the second numerical example of I. Y. Kim and O. L. de Weck [16], expressed in the package's minimization convention.
• Lis–Eiben (LE): one fixed-dimension problem from Test 1 of J. Lis and A. E. Eiben [17].
• Lovison (Lov): six fixed-dimension examples from Alberto Lovison [18], including a smooth regularization of ZDT3 [19], with documented minimization conventions.
• Laumanns–Thiele–Deb–Zitzler (LTDZ): one fixed-dimension, three-objective problem from Laumanns, Thiele, Deb, and Zitzler [20], using the formulation and LTDZ1 name given in Table XVI of Huband et al. [9].
• Moré–Garbow–Hillstrom (MGH): four problems derived from the nonlinear least-squares collection of Moré, Garbow, and Hillstrom [21], using duly documented extensions of the multiobjective formulations based on Mita, Fukuda, and Yamashita [22].