A benchmark for equality constrained multi-objective optimization

COARSE-EMOA: An indicator-based evolutionary algorithm for solving equality constrained multi-objective optimization problems

“…We selected the C-NSGA-II and C-NSGA-III as a way to contrast a common constraint-handling technique, in this case the CDP, against our proposed constraint achievement function. Additionally, C-NSGA-III was selected given the good performance observed in [53]. The aim was to show the capabilities of our technique for guiding the search towards the feasible PF of a constrained problem.…”

“…By researching and implementing a generalization for a higher dimensionality of this procedure, the basic structure of the COARSE-EMOA should allow it to be applied in Equality Constrained Many-objective optimization problems. Future analyses on the behavior of the algorithm are needed where such a procedure is presented and studied over Many-objective optimization problems with at least one constraint, examples of which have been introduced in [53,61]. All persons who have made substantial contributions to the work reported in the manuscript (e.g., technical help, writing and editing assistance, general support), but who do not meet the criteria for authorship, are named in the Acknowledgements and have given us their written permission to be named.…”

“…To further test the capabilities of the algorithms in particular on ECMOPs whose Pareto set location is altered by the constraints, we adopted a set of problems proposed by Cuate et al [15], namely the Eq1-ZDT1, the Eq2-ZDT1, the Eq1-Quad and Eq2-Quad. Lastly, as a way to test the capabilities of the algorithms while handling PF that have been degenerated by constraints we include the first problem of the Eq-DTLZ suite proposed in [53].…”

“…The problems mentioned above are state-of-the-art examples of test problems that include equality constraints in their formulation [15,53]. To the best of our knowledge, no other benchmarks currently exist that include only MOPs with equality constraints.…”

A New Hybrid Evolutionary Algorithm for the Treatment of Equality Constrained MOPs

“…Equality constraints represent an important class of constraints that naturally arise in many applications (e.g., [3][4][5][6][7][8][9]), and their importance will rise since decision making processes are getting more and more complex. Such constraints, however, still represent a challenge for state-of-the-art MOEAs ( [10]).…”