Metaheuristic algorithms for the induced p-median problem with upgrades

Resumen

Facility location problems (FLPs) are a family of optimisation problems with significant social impact. This class of problems has been the subject of study since the 1960s, with classical approaches including the Weber problem and the p-Median problem. Currently, more complex variations of these problems are being investigated. In particular, the Induced p-Median Problem with Upgrades (IpMU) represents a variation of the classical p-Median problem, where the concepts of transport cost and time are separated as distinct metrics in the input graph of the problem. Furthermore, the problem includes a budget which allows one to relax the graph costs, reducing the cost of the edges, thus improving the associated routes between the designated medians and the customers. In this study, a metaheuristic algorithm, based on the Greedy Randomized Adaptive Search Procedure (GRASP), is proposed. A two-phase resolution scheme is defined, studying the median problem and the upgrading problem independently. The results obtained are promising when compared to the state-of-the-art, which is based entirely on mathematical programming models. The execution time was improved on average by two orders of magnitude for the harder instances, and the best known result was obtained in more than 99% of the tested instances.

Publicación
Knowledge-Based Systems
Sergio Salazar
Sergio Salazar
Estudiante de Doctorado en Inteligencia Artificial

Sergio Salazar se graduó en Matemáticas e Ingeniería Informática en la Universidad Rey Juan Carlos en 2023. Actualmente trabaja como investigador predoctoral centrado en problemas continuos de localización de instalaciones.

Abraham Duarte
Abraham Duarte
Catedrático de Universidad

Mi carrera investigadora se ha centrado en el desarrollo de nuevos algoritmos y técnicas de Inteligencia Computacional (metaheurísticas) y su aplicación a diferentes problemas en Ciencia e Ingeniería desde que me incorporé a la Universidad Rey Juan Carlos (URJC) en el octubre del año 2000.

J. Manuel Colmenar
J. Manuel Colmenar
Catedrático de Universidad

Mis intereses de investigación se centran en las metaheurísticas aplicadas a problemas de optimización. He trabajado en diferentes problemas de optimización combinatoria aplicando algoritmos trajectoriales como GRASP o VNS. Además, estoy muy interesado en las aplicaciones de la Evolución Gramatical, específicamente en el dominio de los modelos y la predicción, como alternativa a los enfoques de aprendizaje automático.