V. Blanco, R. Gázquez, D. Ponce, J. Puerto
The Ordered Median Problem provides flexible representations of a large variety of problems, which include most of the classical location problems considered in the literature. While most of the attention in Location Theory has been paid to discrete location problems (p-median, p-center, etc.), the mathematical origins of this theory are closer to Continuous Location, through the classical Fermat-Torricelli or Weber problems.
In this presentation, we analyze a very general family of Continuous Location problems, namely multifacility continuous monotone ordered median location problems (COMP, for short), in which a given finite set of demand points is provided and the goal is to find the optimal location of a given number of new facilities in the space such that: (1) each demand point is allocated to a single facility; (2) the measure of the goodness of the solution is an ordered weighted aggregation of the distances of the demand points to their closest facility.
Keywords: Continuous DOMP, Branch-and-price, Location
Scheduled
GT01 Location II. Continuous Location
June 8, 2022 5:20 PM
A15
