Multiplicatively-weighted order-k Minkowski-metric Voronoi models for disaster decision support systems

In this article, we propose a general-purpose disaster support system based on generalized (multiplicatively-weighted order-k Minkowski-metric) Voronoi diagrams. The proposed system is capable of handling disasters (or emergency units) having different weights in the complete order from 1 to k in the three popular Minkowski metrics (Euclidean, Manhattan and Maximum distance space). The proposed model supports neighboring queries, districting queries, location optimization queries and routing queries.