Improved differential evolution algorithm based on the sawtooth-linear population size adaptive method

Zeng, Zhiqiang; Zhang, Min; Zhang, Huanhuan; Hong, Zhiyong

doi:10.1016/j.ins.2022.07.003

Cited by 39 publications

(13 citation statements)

References 30 publications

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“…Among the most outstanding advantages of this algorithm are simplicity, efficiency, local search property, and speed. The process undertaken by DE to solve an optimization problem is characterized by iterations on a population of vectors to evolve possible solutions based on a fitness function [26][27][28][29][30][31][32].…”

Section: De Algorithmmentioning

confidence: 99%

Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller

Ochoa

Peraza

Castillo

et al. 2023

Axioms

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The papers using fuzzy logic have generated continuous improvements for applications, and an example of this is the use of generalized type 2 fuzzy systems in real-world problems. The key idea of this paper is to present a generalized type 2 fuzzy system for augmenting differential evolution with dynamic parameter variation in order to enhance its performance and convergence. A generalized type 2 Sugeno controller was implemented with the aim of enhancing the trajectory of a robot, and an analysis of the execution time and the errors obtained by ITAE, IAE, ITSE, ISEV, RMSE, and MSE is presented. In addition, a comparison with different levels of disturbance applied to the controller was performed with the goal of demonstrating the efficiency of a type 2 fuzzy system.

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Section: De Algorithmmentioning

confidence: 99%

Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller

Ochoa

Peraza

Castillo

et al. 2023

Axioms

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“…The population size in differential evolution must exceed the number of vectors that are used in the algorithm to perform operations. Operations like mutation need three vectors, one of which is the base vector, or else the operations are not completed [34]. Population size has an important impact on the differential evolution algorithm evolutionary process and performance of the algorithm.…”

Section: Population Diversity Schemesmentioning

confidence: 99%

Improving Performance of Differential Evolution Using Multi-Population Ensemble Concept

Bashir,

Abbas,

Mahmood

et al. 2023

Symmetry

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Differential evolution (DE) stands out as a straightforward yet remarkably powerful evolutionary algorithm employed for real-world problem-solving purposes. In the DE algorithm, few parameters are used, and the population is evolved by applying various operations. It is difficult in evolutionary computation algorithms to maintain population diversity. The main issue is the sub-population of the DE algorithm that helps improve convergence speed and escape from the local optimum. Evolving sub-populations by maintaining diversity is an important issue in the literature that is considered in this research. A solution is proposed that uses sub-populations to promote greater diversity within the population and improve the algorithm performance. DE, heterogeneous distributed differential evolution (HDDE), multi-population ensemble differential evolution (MPEDE), and the proposed improved multi-population ensemble differential evolution (IMPEDE) are implemented using parameter settings; population sizes of 100 NP, 150 NP, and 200 NP; and dimensions of 10D, 30D, and 50D for performance comparison. Different combinations of mutations are used to generate the simulated results. The simulation results are generated using 1000, 3000, and 5000 iterations. Experimental outcomes show the superior results of the proposed IMPEDE over existing algorithms. The non-parametric significance Friedman test confirms that there is a significant difference in the performance of the proposed algorithm and other algorithms used in this study by considering a 0.05 level of significance using six benchmark functions.

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“…In this case, only those candidate solutions that improve the fitness function are considered for the next generation. The process is repeated for a given number of generations [47]. The vectors used in this method follow the same pattern of the solution candidate proposed in this work and given by the structure [α 1 , α 2 , d, k, L].…”

Section: Differential Evolution (De)mentioning

confidence: 99%

Optimal Structuring of Investments in Electricity Generation Projects in Colombia with Non-Conventional Energy Sources

et al. 2022

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Taking full advantage of fiscal and economic incentives has become a complex process for investors, who must find the right portfolio or capital structure to obtain viable and competitive generation projects. In this context, this paper proposes a methodology for the optimal structuring of investments in non-conventional energy sources (NCRES) considering fiscal and economic incentives. Three methods were evaluated: (1) levelized cost of electricity (LCOE) combined with three metaheuristic techniques; (2) discounted cash flow (DCF) with Monte Carlo simulation and value at risk (VaR); and (3) real options with Black and Scholes. The proposed approach presents as the main financial indicator the generation cost (GC), as well as three other financial indicators, namely: net present value (NPV), value at risk (VaR) and net present value for real options (NPVRO). The propose approach allows for defining different investment portfolios from where an investor can choose; each of which minimizes the GC. Furthermore, the methodology can be adapted to countries with different policies and fiscal incentives for the development of NCRES projects. The results show that for each metaheuristic, an optimal capital structure that minimizes GC is obtained; in this way, a GC of 0.032 (USD/kWh) is achieved for solar photovoltaic technology, with a reduction of 49.2%, when tax incentives are considered.

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Improved differential evolution algorithm based on the sawtooth-linear population size adaptive method

Cited by 39 publications

References 30 publications

Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller

Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller

Improving Performance of Differential Evolution Using Multi-Population Ensemble Concept

Optimal Structuring of Investments in Electricity Generation Projects in Colombia with Non-Conventional Energy Sources

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