10 papers · 1 filter
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…
Exponential Conic Optimization for Multi-Regime Service System Design under Congestion and Tail-Risk Control
Víctor Blanco, Miguel Martínez-Antón, Justo Puerto
We study the design of single-facility service systems operating under multiple recurring regimes with service-level constraints on response times. Regime-dependent arrival and ser…
Structural and Solution Analysis for the Ordered Weber Problem under Spatial Uncertainty
Víctor Blanco, Miguel Martínez-Antón
We propose a general analytical framework for single-facility continuous location problems under spatial demand uncertainty. In contrast to classical formulations based on discrete…
On the Strength of Linear Relaxations in Ordered Optimization
Víctor Blanco, Diego Laborda, Miguel Martínez-Antón
We study the conditions under which the convex relaxation of a mixed-integer linear programming formulation for ordered optimization problems, where sorting is part of the decision…
A Unified Optimization Framework for Multiclass Classification with Structured Hyperplane Arrangements
Víctor Blanco, Harshit Kothari, James Luedtke
In this paper, we propose a new mathematical optimization model for multiclass classification based on arrangements of hyperplanes. Our approach preserves the core support vector m…
A Mathematical Optimization Approach to Multisphere Support Vector Data Description
Víctor Blanco, Inmaculada Espejo, Raúl Páez +1
We present a novel mathematical optimization framework for outlier detection in multimodal datasets, extending Support Vector Data Description approaches. We provide a primal formu…