New math challenges in logistics and integrated transportation problems in complex networks: design and optimization

PI: Justo Puerto Albandoz

Abstract: This project addresses new mathematical challenges that appear in the analysis, design and optimization of complex logistics networks and integrated transportation problems. Our goal is to develop models to advance in the management of logistics and integrated transportation networks, the theory of network design, the analysis of intermodality in transportation and the robustness of their solutions.  The tools that we apply in our approach are Mathematical Programming, Graph Theory, Statistical Inference and Simulation. With the development of this proposal, we aim to reduce the gap between the existing models in the literature of the considered complex networks and the actual problems in this field. In addition, it will develop mathematical tools and results that allow the characterization of intrinsic properties of this type of problems. The final aim is to combine those tools and characterizations to develop exact and heuristic algorithms to solve real problems in the design and optimization of logistics networks and integrated transportation systems.