SMS-EMOA: multiobjective selection based on dominated hypervolume. The hypervolume measure (or SS metric) is a frequently applied quality measure for comparing the results of evolutionary multiobjective optimisation algorithms (EMOA). The new idea is to aim explicitly for the maximisation of the dominated hypervolume within the optimisation process. A steady-state EMOA is proposed that features a selection operator based on the hypervolume measure combined with the concept of non-dominated sorting. The algorithm’s population evolves to a well-distributed set of solutions, thereby focussing on interesting regions of the Pareto front. The performance of the devised SSmetric selection EMOA (SMS-EMOA) is compared to state-of-the-art methods on two- and three-objective benchmark suites as well as on aeronautical real-world applications.

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  1. Redondo, J.L.; Fernández, J.; Ortigosa, P.M.: FEMOEA: a fast and efficient multi-objective evolutionary algorithm (2017)
  2. Singh, Prashant; Couckuyt, Ivo; Elsayed, Khairy; Deschrijver, Dirk; Dhaene, Tom: Multi-objective geometry optimization of a gas cyclone using triple-fidelity co-Kriging surrogate models (2017)
  3. Wang, Hao; Ren, Yiyi; Deutz, André; Emmerich, Michael: On steering dominated points in hypervolume indicator gradient ascent for bi-objective optimization (2017)
  4. Akhtar, Taimoor; Shoemaker, Christine A.: Multi objective optimization of computationally expensive multi-modal functions with RBF surrogates and multi-rule selection (2016)
  5. Martínez-Frutos, Jesús; Herrero-Pérez, David: Kriging-based infill sampling criterion for constraint handling in multi-objective optimization (2016)
  6. Rudolph, Günter; Schütze, Oliver; Grimme, Christian; Domínguez-Medina, Christian; Trautmann, Heike: Optimal averaged Hausdorff archives for bi-objective problems: theoretical and numerical results (2016)
  7. Schütze, Oliver; Martín, Adanay; Lara, Adriana; Alvarado, Sergio; Salinas, Eduardo; Coello Coello, Carlos A.: The directed search method for multi-objective memetic algorithms (2016)
  8. Allmendinger, Richard; Handl, Julia; Knowles, Joshua: Multiobjective optimization: when objectives exhibit non-uniform latencies (2015)
  9. Cao, Yongtao; Smucker, Byran J.; Robinson, Timothy J.: On using the hypervolume indicator to compare Pareto fronts: applications to multi-criteria optimal experimental design (2015)
  10. Dubois-Lacoste, Jérémie; López-Ibáñez, Manuel; Stützle, Thomas: Anytime Pareto local search (2015)
  11. Filomeno Coelho, Rajan: Bi-objective hypervolume-based Pareto optimization (2015)
  12. Li, Miqing; Yang, Shengxiang; Liu, Xiaohui: Bi-goal evolution for many-objective optimization problems (2015)
  13. Lochtefeld, Darrell F.; Ciarallo, Frank W.: Multi-objectivization via decomposition: an analysis of helper-objectives and complete decomposition (2015)
  14. Mladineo, Marko; Veža, Ivica; Gjeldum, Nikola: Single-objective and multi-objective optimization using the HUMANT algorithm (2015)
  15. Nguyen, Anh Quang; Sutton, Andrew M.; Neumann, Frank: Population size matters: rigorous runtime results for maximizing the hypervolume indicator (2015)
  16. Rubio-Largo, Álvaro; Vega-Rodríguez, Miguel A.; González-Álvarez, David L.: Multiobjective swarm intelligence for the traffic grooming problem (2015)
  17. Tangpattanakul, Panwadee; Jozefowiez, Nicolas; Lopez, Pierre: A multi-objective local search heuristic for scheduling Earth observations taken by an agile satellite (2015)
  18. Wagner, Markus; Bringmann, Karl; Friedrich, Tobias; Neumann, Frank: Efficient optimization of many objectives by approximation-guided evolution (2015)
  19. Chen, Yu; Zou, Xiufen: Runtime analysis of a multi-objective evolutionary algorithm for obtaining finite approximations of Pareto fronts (2014)
  20. Couckuyt, Ivo; Deschrijver, Dirk; Dhaene, Tom: Fast calculation of multiobjective probability of improvement and expected improvement criteria for Pareto optimization (2014)

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