Multi-objective formulations are realistic models for many complex engineering optimization problems. In many real-life problems, objectives under consideration conflict with each other, and optimizing a particular solution with respect to a single objective can result in unacceptable results with respect ...
参考文献:1. Evolutionary Learning: Advances in Theories and Algorithms. Zhi-Hua Zhou 等 2. Multi-objective optimization using genetic algorithms: A tutorial 3. 博弈论与信息经济学.张维迎 4.帕累托最优 5.wiki
Multiobjective Optimization. Givenmobjective functions\(f_1: {{\mathcal {X}}} \rightarrow {\mathbb {R}}, \dots , f_m: {{\mathcal {X}}} \rightarrow {\mathbb {R}}\)which map a decision space\({\mathcal {X}}\)into\({\mathbb {R}}\), a multiobjective optimization problem (...
Evolutionary algorithms are popular approaches to solving multiobjective optimization. Currently most evolutionary optimizers apply Pareto-based ranking schemes. Genetic algorithms such as the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) and Strength Pareto Evolutionary Algorithm 2 (SPEA-2) have bec...
A Tutorial on Evolutionary Multi-Objective Optimization(EMO) Kalyanmoy Deb Department of Mechanical Engineering Indian Institute of Technology Kanpur Kanpur,PIN 208016, India Email: deb@iitk.ac.in February 6, 2005 Abstract Many real-world search and optimization problems are naturally posed as...
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(MOCGO). In MOCGO, Pareto-optimal solutions are stored in a fixed-sized external archive. In addition, the leader selection functionality needed to carry out multi-objective optimization has been included in CGO. The technique is also applied to eight real-world engineering design challenges with...
BIM-based Parametric Building Energy Performance Multi- Objective Optimization Mohammad Rahmani Asl1, Michael Bergin2, Adam Menter3, Wei Yan4 1PhD Candidate, Department of Architecture, Texas A&M University 2Research Scientist, Autodesk Inc. 3Sustainability Education Program Manager, Autodesk Inc...
Interestingly, preference-driven multi-objective optimization (PMO) [27,28] focuses on identifying a representative subset of the final tradeoff solutions in the regions of interest (ROIs) by decision makers. More importantly, we have found that FML and PMO share many similarities, so that we can...
Emmerich MTM, Deutz AH (2018) A tutorial on multiobjective optimization: fundamentals and evolutionary methods. Nat Comput 17(3):585–609. https://doi.org/10.1007/s11047-018-9685-y Article MathSciNet Google Scholar Huang W, Zhang Y, Li L (2019) Survey on multi-objective evolutionary algo...