Skip to main content

A Novel Dynamic Multi-objective Evolutionary Algorithm with an Adaptable Roulette for the Selection of Operators

  • Chapter
  • First Online:
Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications

Abstract

In this chapter, the optimization of Dynamic Multi-Objective Problems (DMOP) is approached. To solve this kind of problems several evolutionary algorithms with a static selection of operators are reported in the literature. In this work, a new evolutionary algorithm with that an online operator selector is proposed. The operator choice is guided by a self-adapting roulette that modifies the probabilities of usage for each operator. The evolutionary algorithm proposed follows the classical generational scheme of an evolutionary algorithm, but each offspring is constructed by selecting an operator from an operator’s pool based on a probability regulated by the roulette. A series of experiments were done to assess the performance of the proposed algorithm that includes a set of state-of-the-art algorithms, a set of standard instances and statistical hypothesis tests to support the conclusions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Farina, M., Deb, K., Amato, P.: Dynamic multiobjective optimization problems: test cases, approximations, and applications. IEEE Trans. Evol. Comput. 8(5), 425–442 (2004)

    Article  Google Scholar 

  2. Greeff, M., Engelbrecht, A.P: Solving dynamic multi-objective problems with vector evaluated particle swarm optimisation. In: 2008 IEEE Congress on Evolutionary Computation, CEC (IEEE World Congress on Computational Intelligence), pp. 2917–2924 (2008)

    Google Scholar 

  3. Helbig, M., Engelbrecht, A.P.: Population-based metaheuristics for continuous boundary-constrained dynamic multi-objective optimisation problems. Swarm Evol. Comput. 14, 31–47 (2014)

    Article  Google Scholar 

  4. Azzouz, R., Bechikh, S., Said, L.B.: A dynamic multi-objective evolutionary algorithm using a change severity-based adaptive population management strategy. Soft Comput. 1–22 (2015)

    Google Scholar 

  5. Deb, K., Rao, N.U.B., Karthik, S.: Dynamic multi-objective optimization and decision-making using modified NSGA-II: a case study on hydro-thermal power scheduling. In: International Conference on Evolutionary Multi-Criterion Optimization, pp. 803–817 (2007)

    Google Scholar 

  6. Storn, R., Price, K.: Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11(4), 341–359 (1997)

    Article  MathSciNet  Google Scholar 

  7. Sierra, M.R., Coello, C.A.C.: Improving PSO-based multi-objective optimization using crowding, mutation and ∈-dominance. In: International Conference on Evolutionary Multi-criterion Optimization, pp. 505–519 (2005)

    Google Scholar 

  8. Azzouz, R., Bechikh, S., Said, L.B: Multi-objective optimization with dynamic constraints and objectives: new challenges for evolutionary algorithms. In: Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation, pp. 615–622 (2015)

    Google Scholar 

  9. Goh, C.K., Tan, K.C.: A competitive-cooperative coevolutionary paradigm for dynamic multiobjective optimization. IEEE Trans. Evol. Comput. 13(1), 103–127 (2009)

    Article  Google Scholar 

  10. Li, H., Zhang, Q.: A multiobjective differential evolution based on decomposition for multiobjective optimization with variable linkages. In: Parallel Problem Solving from Nature-PPSN IX, pp. 583–592. Springer, Berlin (2006)

    Chapter  Google Scholar 

  11. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)

    Article  Google Scholar 

  12. Zitzler, E., Thiele, L., Laumanns, M., Fonseca, C.M., Da Fonseca, V.G.: Performance assessment of multiobjective optimizers: an analysis and review. IEEE Trans. Evol. Comput. 7(2), 117–132 (2003)

    Article  Google Scholar 

  13. Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: a comparative case study and the strength pareto approach. IEEE Trans. Evol. Comput. 3(4), 257–271 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Héctor Joaquín Fraire Huacuja .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Huacuja, H.J.F., del Angel, E.R., Barbosa, J.J.G., Padilla, A.E., Rodríguez, L.M. (2020). A Novel Dynamic Multi-objective Evolutionary Algorithm with an Adaptable Roulette for the Selection of Operators. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications. Studies in Computational Intelligence, vol 862. Springer, Cham. https://doi.org/10.1007/978-3-030-35445-9_35

Download citation

Publish with us

Policies and ethics