SMS-EMOA swMATH ID: 11894 Software Authors: Beume, Nicola; Naujoks, Boris; Emmerich, Michael Description: 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. Homepage: http://www.sciencedirect.com/science/article/pii/S0377221706005443 Keywords: evolutionary computations; evolutionary multiple objective optimisation; performance assessment; hypervolume measure; OR in aerodynamic industries Related Software: MOEA/D; SPEA2; HypE; NBI; jMetal; RM-MEDA; weightedHypervolume; PlatEMO; PISA; EGO; Omni-optimizer; SMPSO; ParEGO; MOPSO; SHARK; MOMBI; COCO; Borg; SSPMO; AbYSS Referenced in: 90 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year SMS-EMOA: multiobjective selection based on dominated hypervolume. Zbl 1123.90064Beume, Nicola; Naujoks, Boris; Emmerich, Michael 2007 all top 5 Referenced by 262 Authors 4 Emmerich, Michael T. M. 4 Paquete, Luís F. 4 Schütze, Oliver 3 Coello Coello, Carlos A. 3 Couckuyt, Ivo 3 Deschrijver, Dirk 3 Deutz, André H. 3 Dhaene, Tom 3 Friedrich, Tobias 3 Trautmann, Heike 3 Yang, Shengxiang 2 Al-Dujaili, Abdullah 2 Auger, Anne 2 Berlanga, Antonio 2 Bringmann, Karl 2 Brockhoff, Dimo 2 Dai, Cai 2 Dubois-Lacoste, Jérémie 2 Elsayed, Khairy 2 Grimme, Christian 2 Guerreiro, Andreia P. 2 Hansen, Nikolaus 2 Humeau, Jérémie 2 Igel, Christian 2 Jin, Yaochu 2 Jourdan, Laetitia 2 Lara, Adriana 2 Liefooghe, Arnaud 2 Lin, Qiuzhen 2 López-Ibáñez, Manuel 2 Martí, Luis 2 Molina, José Manuel 2 Neumann, Frank 2 Ponte, Aníbal 2 Rubio-Largo, Álvaro 2 Rudolph, Günter 2 Singh, Prashant Kumar 2 Stützle, Thomas G. 2 Sun, Jianyong 2 Tan, Kay Chen 2 Vega-Rodríguez, Miguel A. 2 Zhang, Qingfu 2 Zheng, Jinhua 2 Zou, Juan 1 Akhtar, Taimoor 1 Allmendinger, Richard W. 1 Alvarado, Sergio 1 Arias-Montaño, Alfredo 1 Aspar, Pelin 1 Audet, Charles 1 Bäck, Thomas H. W. 1 Bader, Johannes 1 Bai, Hui 1 Bao, Chunteng 1 Benitez-Garcia, Saul Enrique 1 Berghammer, Rudolf 1 Beume, Nicola 1 Bigeon, Jean 1 Blume, Christian 1 Caballero, Rafael E. 1 Cai, Lijun 1 Cai, Shaowei 1 Cai, Zhihua 1 Cao, Yongtao 1 Cartier, Dominique 1 Castillo, Oscar 1 Chen, Jianyong 1 Chen, Lei 1 Chen, Zehua 1 Cheung, Yiuming 1 Ciarallo, Frank W. 1 Cocchi, Guido 1 Creighton, Douglas 1 Deb, Kalyanmoy 1 Deng, Yali 1 Derbel, Bilel 1 Dhaenens, Clarisse 1 Dolatnezhadsomarin, Azam 1 Domínguez-Medina, Christian 1 Dorronsoro, Bernabé 1 Durillo, Juan J. 1 Elamvazuthi, Irraivan 1 Emperador, José María 1 Enaux, Benoit 1 Fan, Rui 1 Feng, Jiqiang 1 Ferreira, Paulo Augusto Valente 1 Fieldsend, Jonathan E. 1 Figueira, José Rui 1 Filomeno Coelho, Rajan 1 Fonseca, Carlos M. 1 Fraire, Héctor J. 1 Fu, Liuwei 1 Galván, Blas 1 Ganesan, Timothy 1 Gao, Weifeng 1 Gaudrie, David 1 Gjeldum, Nikola 1 Gomes, Ricardo J. 1 Gong, Wenyin ...and 162 more Authors all top 5 Referenced in 27 Serials 22 Information Sciences 14 European Journal of Operational Research 5 Journal of Global Optimization 4 Theoretical Computer Science 3 Artificial Intelligence 3 Computers & Operations Research 3 Computational Optimization and Applications 3 Annals of Mathematics and Artificial Intelligence 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Machine Learning 2 Optimization Letters 2 Algorithms 1 Applied Mathematics and Computation 1 Journal of Optimization Theory and Applications 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Annals of Operations Research 1 Multidimensional Systems and Signal Processing 1 Applied Mathematical Modelling 1 Filomat 1 Complexity 1 INFORMS Journal on Computing 1 Mathematical Problems in Engineering 1 Optimization Methods & Software 1 Mathematical Methods of Operations Research 1 Archives of Computational Methods in Engineering 1 Croatian Operational Research Review (CRORR) all top 5 Referenced in 11 Fields 86 Operations research, mathematical programming (90-XX) 20 Computer science (68-XX) 4 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Referencing Publications by Year