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Engineering Optimization Volume 40, 2008 - Issue 5
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Original Articles

Hybridizing evolutionary strategies with continuation methods for solving multi-objective problems

Oliver Schütze INRIA Futurs, LIFL, CNRS Bât M3, Cité Scientifique, 59655, Villeneuve d'Ascq, France
,
Carlos A. Coello Coello CINVESTAV-IPN (Evolutionary Computation Group), Departamento de Computación, Av. Instituto Politécnico Nacional No. 2508, Col., San Pedro Zacatenco, México, D.F, 07300, Mexico;Correspondence[email protected]
,
Sanaz Mostaghim AIFB Institute, University of Karlsruhe, Germany;
,
El-Ghazali Talbi INRIA Futurs, LIFL, CNRS Bât M3, Cité Scientifique, 59655, Villeneuve d'Ascq, France
&
Michael Dellnitz University of Paderborn, Faculty for Computer Science, Electrical Engineering and Mathematics, Institute for Mathematics, D-33098 Paderborn, Warburger Strasse, 100, Germany
Pages 383-402 | Received 06 Nov 2006, Published online: 15 Apr 2008

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Mingcheng Zuo, Guangming Dai & Lei Peng. (2019) Multi-agent genetic algorithm with controllable mutation probability utilizing back propagation neural network for global optimization of trajectory design. Engineering Optimization 51:1, pages 120-139.
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Adanay Martín & Oliver Schütze. (2018) Pareto Tracer: a predictor–corrector method for multi-objective optimization problems. Engineering Optimization 50:3, pages 516-536.
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Abolfazl Shirazi. (2016) Trajectory optimization of spacecraft high-thrust orbit transfer using a modified evolutionary algorithm. Engineering Optimization 48:10, pages 1639-1657.
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Maik Ringkamp, Sina Ober-Blöbaum, Michael Dellnitz & Oliver Schütze. (2012) Handling high-dimensional problems with multi-objective continuation methods via successive approximation of the tangent space. Engineering Optimization 44:9, pages 1117-1146.
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Guangyong Sun, Guangyao Li, Zhihui Gong, Guanqiang He & Qing Li. (2011) Radial basis functional model for multi-objective sheet metal forming optimization. Engineering Optimization 43:12, pages 1351-1366.
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Ahmad Nourbakhsh, Hamed Safikhani & Shahram Derakhshan. (2011) The comparison of multi-objective particle swarm optimization and NSGA II algorithm: applications in centrifugal pumps. Engineering Optimization 43:10, pages 1095-1113.
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Tianye Shu, Ke Shang, Hisao Ishibuchi & Yang Nan. (2023) Effects of Archive Size on Computation Time and Solution Quality for Multiobjective Optimization. IEEE Transactions on Evolutionary Computation 27:4, pages 1145-1153.
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Fernanda Beltrán, Oliver Cuate & Oliver Schütze. (2020) The Pareto Tracer for General Inequality Constrained Multi-Objective Optimization Problems. Mathematical and Computational Applications 25:4, pages 80.
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Yanbo Mai, Hanqing Shi, Qixiang Liao, Zheng Sheng, Shuai Zhao, Qingjian Ni & Wei Zhang. (2020) Using the Decomposition-Based Multi-Objective Evolutionary Algorithm with Adaptive Neighborhood Sizes and Dynamic Constraint Strategies to Retrieve Atmospheric Ducts. Sensors 20:8, pages 2230.
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O. Schütze, C. Hernández, E-G. Talbi, J. Q. Sun, Y. Naranjani & F.-R. Xiong. (2018) Archivers for the representation of the set of approximate solutions for MOPs. Journal of Heuristics 25:1, pages 71-105.
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Koen van der Blom, Sjonnie Boonstra, Hao Wang, Hèrm Hofmeyer & Michael T. M. Emmerich. 2019. Numerical and Evolutionary Optimization – NEO 2017. Numerical and Evolutionary Optimization – NEO 2017 62 86 .
Oliver Cuate, Lourdes Uribe, Antonin Ponsich, Adriana Lara, Fernanda Beltran, Alberto Rodríguez Sánchez & Oliver Schütze. 2019. Evolutionary Multi-Criterion Optimization. Evolutionary Multi-Criterion Optimization 53 65 .
Johan Bogoya, Andrés Vargas, Oliver Cuate & Oliver Schütze. (2018) A (p,q)-Averaged Hausdorff Distance for Arbitrary Measurable Sets. Mathematical and Computational Applications 23:3, pages 51.
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Renzhi Chen, Ke Li & Xin Yao. (2018) Dynamic Multiobjectives Optimization With a Changing Number of Objectives. IEEE Transactions on Evolutionary Computation 22:1, pages 157-171.
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Mohamed Abouhawwash, Haitham Seada & Kalyanmoy Deb. (2017) Towards faster convergence of evolutionary multi-criterion optimization algorithms using Karush Kuhn Tucker optimality based local search. Computers & Operations Research 79, pages 331-346.
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Saúl Zapotecas-Martínez, Adriana Lara & Carlos A. 2016. Decision Sciences. Decision Sciences 185 232 .
Hu Zhang, Aimin Zhou, Shenmin Song, Qingfu Zhang, Xiao-Zhi Gao & Jun Zhang. (2016) A Self-Organizing Multiobjective Evolutionary Algorithm. IEEE Transactions on Evolutionary Computation 20:5, pages 792-806.
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Benjamin Martin, Alexandre Goldsztejn, Laurent Granvilliers & Christophe Jermann. (2014) On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach. Journal of Global Optimization 64:1, pages 3-16.
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Honggang Wang. (2015) Direct zigzag search for discrete multi-objective optimization. Computers & Operations Research 61, pages 100-109.
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R.C. Gutiérrez-Urquídez, G. Valencia-Palomo, O.M. Rodríguez-Elias & L. Trujillo. (2015) Systematic selection of tuning parameters for efficient predictive controllers using a multiobjective evolutionary algorithm. Applied Soft Computing 31, pages 326-338.
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Miqing Li, Shengxiang Yang, Ke Li & Xiaohui Liu. (2014) Evolutionary Algorithms With Segment-Based Search for Multiobjective Optimization Problems. IEEE Transactions on Cybernetics 44:8, pages 1295-1313.
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Benjamin Martin, Alexandre Goldsztejn, Laurent Granvilliers & Christophe Jermann. (2013) Certified Parallelotope Continuation for One-Manifolds. SIAM Journal on Numerical Analysis 51:6, pages 3373-3401.
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Michael T. M. Emmerich, André H. Deutz & Johannes W. Kruisselbrink. 2013. EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation. EVOLVE- A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation 157 185 .
Alfredo Arias-Montano, Carlos A. Coello Coello & Efrén Mezura-Montes. (2012) Multiobjective Evolutionary Algorithms in Aeronautical and Aerospace Engineering. IEEE Transactions on Evolutionary Computation 16:5, pages 662-694.
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Oliver Schutze, Xavier Esquivel, Adriana Lara & Carlos A. Coello Coello. (2012) Using the Averaged Hausdorff Distance as a Performance Measure in Evolutionary Multiobjective Optimization. IEEE Transactions on Evolutionary Computation 16:4, pages 504-522.
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Peter A. N. Bosman. (2012) On Gradients and Hybrid Evolutionary Algorithms for Real-Valued Multiobjective Optimization. IEEE Transactions on Evolutionary Computation 16:1, pages 51-69.
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Michael Dellnitz & Oliver Schütze. 2012. Global Analysis of Nonlinear Dynamics. Global Analysis of Nonlinear Dynamics 221 252 .
Yu Chen, Xiufen Zou & Weicheng Xie. (2011) Convergence of multi-objective evolutionary algorithms to a uniformly distributed representation of the Pareto front. Information Sciences 181:16, pages 3336-3355.
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Adriana Lara, Carlos A. Coello Coello & Oliver Schuetze. (2010) Using gradient information for multi-objective problems in the evolutionary context. Using gradient information for multi-objective problems in the evolutionary context.
Oliver SchützeMarco LaumannsEmilia TantarCarlos A. Coello CoelloEl-Ghazali Talbi. (2010) Computing Gap Free Pareto Front Approximations with Stochastic Search Algorithms. Evolutionary Computation 18:1, pages 65-96.
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A. Lara, G. Sanchez, C.A. Coello Coello & O. Schutze. (2010) HCS: A New Local Search Strategy for Memetic Multiobjective Evolutionary Algorithms. IEEE Transactions on Evolutionary Computation 14:1, pages 112-132.
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