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math.OC2026
Optimal Embedding of Wiring Diagrams in Constrained Three-Dimensional Spaces
Víctor Blanco, Gabriel González, Justo Puerto
This paper investigates the \emph{Wiring Diagram Problem} (WDP), a three-dimensional layout design problem arising in industrial applications such as cable harness design and pipel…
math.OC2026
Revisiting transportation problems under Monge costs with applications to the Discrete Ordered Median Problem
Stefan Nickel, Justo Puerto, Simon Ramoser +1
We investigate the classical Hitchcock-Koopmans Transportation Problem under the assumption that the cost matrix satisfies the Monge property. In this setting, we derive compact fo…
math.OC2025
Augmentation approaches for Mixed Integer Programming
Justo Puerto, Jose A. Ruiz-Alba
This paper analyses the feasible sets structure of general mixed integer linear programs (MIPs) and its relationship with the existence of a finite cardinality test set which can b…