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Penalty Function Methods for Constrained Optimization with Genetic Algorithms

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TLDR
These penalty-based methods for handling constraints in Genetic Algorithms are presented and discussed and their strengths and weaknesses are discussed.
Abstract
Genetic Algorithms are most directly suited to unconstrained optimization. Application of Genetic Algorithms to constrained optimization problems is often a challenging effort. Several methods have been proposed for handling constraints. The most common method in Genetic Algorithms to handle constraints is to use penalty functions. In this paper, we present these penalty-based methods and discuss their strengths and weaknesses.

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Proceedings ArticleDOI

The robust redundancy allocation problem of series-parallel systems

TL;DR: The interval analysis is introduced to represent imprecise component reliabilities, and an order relation is applied in the comparison of interval values, and experimental results have shown that the interval mathematics is an efficient tool to solve the redundancy allocation problem (RAP) of systems with interval-valued component Reliabilities.
Journal ArticleDOI

Design Optimization of Long-Span Cold-Formed Steel Portal Frames Accounting for Effect of Knee Brace Joint Configuration

TL;DR: A novel method in handling design constraints integrated with genetic algorithm is proposed for searching the optimum design of cold-formed steel portal frames and the result showed that the proposed routine for design optimization effectively searched the near global optimum solution with the computational time is approximate 50% faster than methods being popularly used in literature.

Presenting a Bi-objective Integrated Model for Production-Distribution Problem in a Multi-level Supply Chain Network

TL;DR: In this article, a bi-objective model for integrated planning of production-distribution in a multilevel supply chain network with multiple product types and multi time periods is presented.
Journal ArticleDOI

Development of a new efficient method using genetic algorithm for increasing of fuel rod life time

TL;DR: In this paper, the optimization of fuel rod design parameters such as plenum length, gap thickness, cladding thickness, and fuel rod internal pressure using the genetic algorithm was studied.
Journal ArticleDOI

Modified Dragonfly Optimisation for Distributed Energy Mix in Distribution Networks

TL;DR: The proposed model for energy mix and modified DA technique has significantly enhanced the operational performance of the network in terms of average annual energy loss reduction, node voltage profiles, and demand fluctuation caused by renewables.
References
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Book

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.
Book

Genetic Algorithms + Data Structures = Evolution Programs

TL;DR: GAs and Evolution Programs for Various Discrete Problems, a Hierarchy of Evolution Programs and Heuristics, and Conclusions.
Book

Nonlinear Programming: Theory and Algorithms

TL;DR: The book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques.
Journal ArticleDOI

An efficient constraint handling method for genetic algorithms

TL;DR: GA's population-based approach and ability to make pair-wise comparison in tournament selection operator are exploited to devise a penalty function approach that does not require any penalty parameter to guide the search towards the constrained optimum.
Book

Evolutionary algorithms in theory and practice

Thomas Bäck
TL;DR: In this work, the author compares the three most prominent representatives of evolutionary algorithms: genetic algorithms, evolution strategies, and evolutionary programming within a unified framework, thereby clarifying the similarities and differences of these methods.