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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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Multi-objective sidetracking horizontal well trajectory optimization in cluster wells based on DS algorithm

TL;DR: The convergence and stability of the proposed algorithm have been discussed, and the results indicate that d-DS has good convergence and numerical stability, thus the d- DS algorithm is excellent for solving trajectory optimization problem.
Journal ArticleDOI

Modified African Buffalo Optimization for Strategic Integration of Battery Energy Storage in Distribution Networks

TL;DR: A modified variant of African buffalo optimization (ABO) introduced to overcome some of the limitations observed in its standard variant and the proposed optimization model and modified ABO is very promising to improve the performance of active distribution systems.
Journal ArticleDOI

A parallel tabu search for solving the primal buffer allocation problem in serial production systems

TL;DR: This paper presents a novel parallel tabu search algorithm equipped with a proper adaptive neighborhood generation mechanism to solve the primal buffer allocation problem, which consists of minimizing the total buffer capacity of a serial production system under a minimum throughput rate constraint.
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Market-System Design Optimization With Consider-Then-Choose Models

TL;DR: In this article, the authors present solutions to a design optimization problem that arises when demand is modeled with a consider-then-choose model: the choice probabilities are no longer continuous or continuously differentiable.
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.