A Model of Compactness-Homogeneity for Territorial Design

This paper proposes a model to solve the problem of compactness and homogeneity in territorial design. Similarly, a multi-objective optimization proposal is presented to minimize two objectives: geometric compactness in the geographical location of the data and homogeneity for some of its descriptive variables. In particular, it addresses a drainage and water problem in the Metropolitan Area of the Toluca Valley. This combinatorial problem is NP Hard and is solved under the restrictions of partitioning in complicity with the requirements of the problem variables. To obtain an approximate set of non-dominated solutions, Pareto dominance and the Minima are used.