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MIXED INTEGER-DISCRETE-CONTINUOUS OPTIMIZATION BY DIFFERENTIAL EVOLUTION Part 1: the optimization method
Jouni Lampinen,Ivan Zelinka +1 more
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TLDR
The novel optimization method based on Differential Evolution algorithm is relatively easy to implement and use, effective, efficient and robust, which makes it as an attractive and widely applicable approach for solving practical engineering design problems.Abstract:
This article discusses solving non-linear programming problems containing integer, discrete and continuous variables. The Part 1 of the article describes a novel optimization method based on Differential Evolution algorithm. The required handling techniques for integer, discrete and continuous variables are described including the techniques needed to handle boundary constraints as well as those needed to simultaneously deal with several non-linear and non-trivial constraint functions. In Part 2 of the article a mechanical engineering design related numerical example, design of a coil spring, is given to illustrate the capabilities and the practical use of the method. It is demonstrated that the described approach is capable of obtaining high quality solutions. The novel method is relatively easy to implement and use, effective, efficient and robust, which makes it as an attractive and widely applicable approach for solving practical engineering design problems.read more
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Journal ArticleDOI
Cultured differential evolution for constrained optimization
TL;DR: A cultural algorithm with a differential evolution population is proposed, which uses different knowledge sources to influence the variation operator of the differential evolution algorithm, in order to reduce the number of fitness function evaluations required to obtain competitive results.
Proceedings ArticleDOI
Modified Differential Evolution for Constrained Optimization
TL;DR: The aim of the approach is to increase the probability of each parent to generate a better offspring by allowing each solution to generate more than one offspring but using a different mutation operator which combines information of the best solution in the population and also Information of the current parent to find new search directions.
Journal ArticleDOI
Ant Colony Optimization for Mixed-Variable Optimization Problems
TL;DR: An ant colony optimization (ACO) algorithm that extends the ACOR algorithm for continuous optimization to tackle mixed-variable optimization problems, and a novel procedure to generate artificial, mixed- variable benchmark functions that is used to automatically tune ACOMV's parameters.
Journal ArticleDOI
MODENAR: Multi-objective differential evolution algorithm for mining numeric association rules
TL;DR: A Pareto-based multi-objective differential evolution (DE) algorithm is proposed as a search strategy for mining accurate and comprehensible numeric association rules (ARs) which are optimal in the wider sense that no other rules are superior to them when all objectives are simultaneously considered.
Proceedings ArticleDOI
Generalization of the strategies in differential evolution
V. Feoktistov,S. Janaqi +1 more
TL;DR: A generalization of the differential evolution's strategies is introduced by dividing them into four groups according to their differentiation principle, which leads to the new universal formula of differentiation.
References
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Journal ArticleDOI
Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces
Rainer Storn,Kenneth Price +1 more
TL;DR: In this article, a new heuristic approach for minimizing possibly nonlinear and non-differentiable continuous space functions is presented, which requires few control variables, is robust, easy to use, and lends itself very well to parallel computation.
Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces
TL;DR: A new heuristic approach for minimizing possibly nonlinear and non differentiable continuous space functions is presented and it will be demonstrated that the new method converges faster and with more certainty than Adaptive Simulated Annealing as well as the Annealed Nelder&Mead approach.
Proceedings ArticleDOI
On the usage of differential evolution for function optimization
TL;DR: This paper describes several variants of DE and elaborates on the choice of DE's control parameters, which corresponds to the application of fuzzy rules, and the design of a howling removal unit with DE.
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Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces
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