@inbook {IOPORT.05858245, author = {Mendes, Jo\~ao Batista and de Vasconcelos, Jo\~ao Ant\^onio}, title = {Using an adaptation of a binary search tree to improve the NSGA-II nondominated sorting procedure.}, year = {2010}, booktitle = {Simulated evolution and learning. 8th international conference, SEAL 2010, Kanpur, India, December 1--4, 2010. Proceedings}, isbn = {978-3-642-17297-7}, pages = {558-562}, publisher = {Berlin: Springer}, doi = {10.1007/978-3-642-17298-4_60}, abstract = {Summary: In this paper, we propose an adaptation to Nondominated Sorting Genetic Algorithm (NSGA-II), introducing a data structure, called NonDominated Tree (NDT). The NDT is an adaptation of a Binary Search Tree and is used to identify the nondominated fronts in only one run. This structure may be used to improve even more the performance of NSGA-II and other Evolutionary Algorithms (EAs) that use nondominated sorting procedures. It reduces the number of comparisons performed by the NSGA-II nondominated sorting routine. Some tests demonstrated that the proposed structure improves the search of fronts of nondominated solutions in an efficient way.}, identifier = {05858245}, }