Given a terrain defined as a piecewise-linear function with n triangles, and m point sites on it, we would like to identify the location on the terrain that minimizes the maximum distance to the sites. The distance is measured as the length of the Euclidean shortest path along the terrain. To simplify the problem somewhat, we extend the terrain to (the surface of) a polyhedron. To compute the o...

a facility location is said to be competitive when other facilities are present in the market and new facilities have to compete with these existing facilities for a market share. in other words, in a competitive facility location problem we do not see monopoly that exists in classic location models. in such a situation, existing facilities react to locate new facilities by adjusting their attr...

recently the concept of facility efficiency, which defined by data envelopment analysis (dea), introduced as a location modeling objective, that provides facilities location’s effect on their performance in serving demands. by combining the dea models with the location problem, two types of “efficiencies” are optimized: spatial efficiency which measured by finding the least cost location and al...