A Multiobjective Approach for the Heuristic Optimization of Compactness and Homogeneity in the Optimal Zoning
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| Format: | Artículo científico |
| Langue: | en |
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Universidad Nacional Autónoma de México
2012
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| _version_ | 1876487554484666368 |
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| author | B. Bernábe-Loranca |
| author_facet | B. Bernábe-Loranca |
| contents | A Multiobjective Approach for the Heuristic Optimization of Compactness and Homogeneity in the Optimal Zoning B. Bernábe-Loranca C. A. Coello-Coello M. Osorio-Lama Ingeniería maxima compactness homogeneity Optimal Zoning multiobjective optimization This paper presents a multiobjective methodology for optimal zoning design (OZ), based on thegrouping of geographic data with characteristics of territorial aggregation. The two objectives considered are the minimization of the geometric compactness on the geographical location of the data and the homogeneity of any of the descriptivevariables. Since this problem is NP hard [1], our proposal provides an approximate solution taking into account properties of partitioning algorithms and design restrictions for territorial space. Approximate solutions are generated through the set of optimum values (Maxima) and the corresponding minimals (dual Minima) [2] of the bi-objective function using Variable Neighborhood Search (VNS) [3] and the Pareto order defined over this set of values. Theresults obtained by our proposed approach constitute good solutions and are generated in a reasonably low computational time. 2012 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47423208013 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.3 Vol.10 |
| format | Artículo científico |
| id | redalyc_47423208013 |
| institution | Redalyc |
| language | en |
| publishDate | 2012 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | A Multiobjective Approach for the Heuristic Optimization of Compactness and Homogeneity in the Optimal Zoning B. Bernábe-Loranca Ingeniería maxima compactness homogeneity Optimal Zoning multiobjective optimization A Multiobjective Approach for the Heuristic Optimization of Compactness and Homogeneity in the Optimal Zoning B. Bernábe-Loranca C. A. Coello-Coello M. Osorio-Lama Ingeniería maxima compactness homogeneity Optimal Zoning multiobjective optimization This paper presents a multiobjective methodology for optimal zoning design (OZ), based on thegrouping of geographic data with characteristics of territorial aggregation. The two objectives considered are the minimization of the geometric compactness on the geographical location of the data and the homogeneity of any of the descriptivevariables. Since this problem is NP hard [1], our proposal provides an approximate solution taking into account properties of partitioning algorithms and design restrictions for territorial space. Approximate solutions are generated through the set of optimum values (Maxima) and the corresponding minimals (dual Minima) [2] of the bi-objective function using Variable Neighborhood Search (VNS) [3] and the Pareto order defined over this set of values. Theresults obtained by our proposed approach constitute good solutions and are generated in a reasonably low computational time. 2012 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47423208013 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.3 Vol.10 |
| title | A Multiobjective Approach for the Heuristic Optimization of Compactness and Homogeneity in the Optimal Zoning |
| topic | Ingeniería maxima compactness homogeneity Optimal Zoning multiobjective optimization |
| url | https://www.redalyc.org/articulo.oa?id=47423208013 |