7 papers
Cooperation in Conic Programming with Applications to Control, Production, and Portfolio
Miguel MartÃnez-Antón, Justo Puerto
We introduce the class of cooperative conic games, a new family of transferable utility games whose characteristic function can be computed by solving a conic optimization problem.…
Exact Mixed-Integer Conic Liftings for Queueing-Based CDN Design
VÃctor Blanco, Miguel MartÃnez-Antón
We study a class of content delivery network design problems in which service performance is explicitly modeled through queueing-based response times. In contrast to standard formu…
Exponential Conic Optimization for Multi-Regime Service System Design under Congestion and Tail-Risk Control
VÃctor Blanco, Miguel MartÃnez-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
VÃctor Blanco, Miguel MartÃnez-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
VÃctor Blanco, Diego Laborda, Miguel MartÃnez-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…
On the Complexity of p-Order Cone Programs
VÃctor Blanco, Victor Magron, Miguel MartÃnez-Antón
This manuscript explores novel complexity results for the feasibility problem over -order cones, extending the foundational work of Porkolab and Khachiyan. By leveraging the int…