Evolutionary Algorithms for Constrained Parameter Optimization Problems

Evolutionary Algorithms for Constrained Parameter Optimization Problems

1996, 4 (1), pp.1-32 | Zbigniew Michalewicz, Marc Schoenauer
Evolutionary Algorithms for Constrained Parameter Optimization Problems Zbigniew Michalewicz and Marc Schoenauer This paper discusses the challenges of solving nonlinear programming (NLP) problems using evolutionary algorithms (EAs), which are typically used for optimization of complex functions. However, EAs have not been effective in handling constraints in NLP problems. The paper reviews several constraint-handling methods for EAs and presents eleven test cases for future research. The general NLP problem involves finding a vector x that optimizes a function f(x) subject to constraints. The search space is defined by bounds on variables, and the feasible region is defined by constraints. The problem is intractable, and many optimization techniques focus on local optima. EAs are global methods that can handle complex functions but have not been widely applied to constrained NLP problems. The paper discusses several constraint-handling methods, including methods that preserve feasibility, penalty functions, and hybrid methods. It also presents test cases for evaluating these methods. The paper concludes that EAs have potential for solving constrained NLP problems but require further research and development.Evolutionary Algorithms for Constrained Parameter Optimization Problems Zbigniew Michalewicz and Marc Schoenauer This paper discusses the challenges of solving nonlinear programming (NLP) problems using evolutionary algorithms (EAs), which are typically used for optimization of complex functions. However, EAs have not been effective in handling constraints in NLP problems. The paper reviews several constraint-handling methods for EAs and presents eleven test cases for future research. The general NLP problem involves finding a vector x that optimizes a function f(x) subject to constraints. The search space is defined by bounds on variables, and the feasible region is defined by constraints. The problem is intractable, and many optimization techniques focus on local optima. EAs are global methods that can handle complex functions but have not been widely applied to constrained NLP problems. The paper discusses several constraint-handling methods, including methods that preserve feasibility, penalty functions, and hybrid methods. It also presents test cases for evaluating these methods. The paper concludes that EAs have potential for solving constrained NLP problems but require further research and development.
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Understanding Evolutionary Algorithms for Constrained Parameter Optimization Problems