4 papers
Revisiting transportation problems under Monge costs with applications to location problems
Stefan Nickel, Justo Puerto, Simon Ramoser +1
We investigate the transportation problem under a Monge cost structure and derive compact formulas for optimal dual solutions based on the northwest-corner rule. As an application…
Linear, nested, and quadratic ordered measures: Computation and incorporation into optimization problems
Victor Blanco, Miguel A. Pozo, Justo Puerto +1
In this paper we address a unified mathematical optimization framework to compute a wide range of measures used in most operations research and data science contexts. The goal is t…
A fresh view on Least Quantile of Squares Regression based on new optimization approaches
Justo Puerto, Alberto Torrejon
Regression analysis is an important instrument to determine the effect of the explanatory variables on response variables. When outliers and bias errors are present, the standard w…
An extended version of the Ordered Median Tree Location Problem including appendices and detailed computational results
Miguel A. Pozo, Justo Puerto, Alberto Torrejon
In this paper, we propose the Ordered Median Tree Location Problem (OMT). The OMT is a single-allocation facility location problem where p facilities must be placed on a network co…