Journal ArticleDOI
Genetic algorithms in optimization problems with discrete and integer design variables
C Y Lin,Prabhat Hajela +1 more
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In this article, an implementation of genetic search methods in the optimal design of structural systems with a mix of continuous, integer and discrete design variables is described, and the performance of each is evaluated in the context of structural design problems.Abstract:
The paper describes an implementation of genetic search methods in the optimal design of structural systems with a mix of continuous, integer and discrete design variables. Design variable representation schemes for such mixed variables are proposed and the performance of each is evaluated in the context of structural design problems. The approach is proposed as an alternative to the branch-and-bound techniques that are used in conjunction with nonlinear programming methods. The methodology is inherently equipped with a better chance of locating the global optimum than the conventional gradient based methods.read more
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Book
Engineering Optimization : Theory and Practice
TL;DR: This chapter discusses Optimization Techniques, which are used in Linear Programming I and II, and Nonlinear Programming II, which is concerned with One-Dimensional Minimization.
Journal ArticleDOI
Metaheuristics: A bibliography
Ibrahim H. Osman,Gilbert Laporte +1 more
TL;DR: This bibliography provides a classification of a comprehensive list of 1380 references on the theory and application of metaheuristics that have had widespread successes in attacking a variety of difficult combinatorial optimization problems that arise in many practical areas.
Journal ArticleDOI
The harmony search heuristic algorithm for discrete structural optimization
TL;DR: A discrete search strategy using the harmony search (HS) heuristic algorithm is presented in detail and its effectiveness and robustness, as compared to current discrete optimization methods, are demonstrated through several standard truss examples.
Journal ArticleDOI
Sizing, Shape, and Topology Design Optimization of Trusses Using Genetic Algorithm
TL;DR: In this paper, a procedure is developed for the combined sizing, shape, and topology design of space trusses, where discrete and continuous values are used to define the cross-sectional areas of the members.
Journal ArticleDOI
Optimized Design of Two-Dimensional Structures Using a Genetic Algorithm
TL;DR: A design procedure incorporating a simple genetic algorithm (GA) is developed for discrete optimization of two-dimensional structures.
References
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Genetic algorithms in search, optimization, and machine learning
TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.
Genetic algorithms in search, optimization and machine learning
TL;DR: This book brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields.
Book
Adaptation in natural and artificial systems
TL;DR: Names of founding work in the area of Adaptation and modiication, which aims to mimic biological optimization, and some (Non-GA) branches of AI.
Journal ArticleDOI
Genetic search - An approach to the nonconvex optimization problem
TL;DR: An implementation of the approach to a class of problems in structural optimization with demonstrated nonconvexities or disjointness is discussed in the paper.
Journal ArticleDOI
An approach to multicriterion optimization problems for engineering design
TL;DR: This example indicates that for some mechanical engineering optimization problems, using the multicriterion optimization approach, the authors can automatically obtain a solution which is optimal and acceptable to the designer.