Evaluation of the Evolutionary Algorithms Performance in Many-Objective Optimization Problems Using Quality Indicators

  • Daniel Martínez-Vega
  • Patricia SanchezEmail author
  • Guadalupe Castilla
  • Eduardo Fernandez
  • Laura Cruz-ReyesEmail author
  • Claudia Gomez
  • Enith Martinez
Part of the Studies in Computational Intelligence book series (SCI, volume 667)


The need to address more complex real-world problems gives rise to new research issues in many-objective optimization field. Recently, researchers have focused in developing algorithms able to solve optimization problems with more than three objectives known as many-objective optimization problems. Some methodologies have been developed into the context of this kind of problems, such as A2-NSGA-III that is an adaptive extension of the well-known NSGA-II (Non-dominated Sorting Genetic Algorithm II). A2-NSGA-III was developed for promoting a better spreading of the solutions in the Pareto front using an improved approach based on reference points. In this paper, a comparative study between NSGA-II and A2-NSGA-III is presented. We examine the performance of both algorithms by applying them to the project portfolio problem with 9 and 16 objectives. Our purpose is to validate the effectiveness of A2-NSGA-III to deal with many-objective problems and increase the variety of problems that this method can solve. Several quality indicators were used to measure the performance of the two algorithms.


Many-objective problems Project portfolio selection Algorithm performance analysis 



This work was partially financed by CONACYT, COTACYT, DGEST, TECNM, and ITCM.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Daniel Martínez-Vega
    • 1
  • Patricia Sanchez
    • 1
    Email author
  • Guadalupe Castilla
    • 1
  • Eduardo Fernandez
    • 2
  • Laura Cruz-Reyes
    • 1
    Email author
  • Claudia Gomez
    • 1
  • Enith Martinez
    • 1
  1. 1.Tecnologico Nacional de Mexico, Instituto Tecnologico de Ciudad MaderoTamaulipasMexico
  2. 2.Universidad Autonoma de SinaloaSinaloaMexico

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