Variable Mesh Optimization for Continuous Optimization and Multimodal Problems

Author(s):  
Jarvin A. Antón-Vargas ◽  
Luis A. Quintero-Domínguez ◽  
Guillermo Sosa-Gómez ◽  
Omar Rojas
Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 665
Author(s):  
Ricardo Navarro ◽  
Chyon Hae Kim

Variable Mesh Optimization with Niching (VMO-N) is a framework for multimodal problems (those with multiple optima at several search subspaces). Its only two instances are restricted though. Being a potent multimodal optimizer, the Hill-Valley Evolutionary Algorithm (HillVallEA) uses large populations that prolong its execution. This study strives to revise VMO-N, to contrast it with related approaches, to instantiate it effectively, to get HillVallEA faster, and to indicate methods (previous or new) for practical use. We hypothesize that extra pre-niching search in HillVallEA may reduce the overall population, and that if such a diminution is substantial, it runs more rapidly but effective. After refining VMO-N, we bring out a new case of it, dubbed Hill-Valley-Clustering-based VMO (HVcMO), which also extends HillVallEA. Results show it as the first competitive variant of VMO-N, also on top of the VMO-based niching strategies. Regarding the number of optima found, HVcMO performs statistically similar to the last HillVallEA version. However, it comes with a pivotal benefit for HillVallEA: a severe reduction of the population, which leads to an estimated drastic speed-up when the volume of the search space is in a certain range.


2011 ◽  
Vol 16 (3) ◽  
pp. 511-525 ◽  
Author(s):  
Amilkar Puris ◽  
Rafael Bello ◽  
Daniel Molina ◽  
Francisco Herrera

2016 ◽  
Vol 258 (2) ◽  
pp. 869-893 ◽  
Author(s):  
Yamisleydi Salgueiro ◽  
Jorge L. Toro ◽  
Rafael Bello ◽  
Rafael Falcon

2015 ◽  
Vol 42 (2) ◽  
pp. 789-795 ◽  
Author(s):  
Yasel J. Costa Salas ◽  
Carlos A. Martínez Pérez ◽  
Rafael Bello ◽  
Alexandre C. Oliveira ◽  
Antonio A. Chaves ◽  
...  

Author(s):  
Ricardo Navarro ◽  
Tadahiko Murata ◽  
Rafael Falcon ◽  
Kim Chyon Hae

Author(s):  
Kanagasabai Lenin

<p>In this work Improved Variable Mesh Optimization Algorithm (IVM) has been applied to solve the optimal reactive power problem. Projected Improved VMO algorithm has been modeled by hybridization of Variable mesh optimization algorithm with Clearing-Based Niche Formation Technique, Differential Evolution (DE) algorithm. Mesh formation and exploration has been enhanced by the hybridization. Amongst of niche development process, clearing is a renowned method in which general denominator is the formation of steady subpopulations (niches) at all local optima (peaks) in the exploration space. In Differential Evolution (DE) population is formed by common sampling within the stipulated smallest amount and maximum bounds. Subsequently DE travel into the iteration process where the progressions like, mutation, crossover, and selection, are followed. Proposed Improved Variable Mesh Optimization Algorithm (IVM) has been tested in standard IEEE 14,300 bus test system and simulation<br />results show the projected algorithm reduced the real power loss extensively.</p>


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