A Multiperiod Optimization Framework for Self-Amplifying Structures in Hypergraphs

V. Blanco, R. Gázquez, J. F. Ocaña-Rivas

Higher-order interactions arise in chemical, ecological and socio-economic systems and can be naturally modeled using directed hypergraphs. We develop mathematical optimization models for the temporal expansion of such structures and the identification of self-amplifying subhypergraphs. The proposed multiperiod formulations integrate structural constraints, kinetic information and equity criteria, leading to MILP/MINLP models that capture the dynamic growth of hypernetworks. Applications include the analysis and visualization of evolving chemical reaction networks.

Keywords: Multiperiod optimization, Hypergraph-based network design, Self-amplifying systems, Synergistic flow dynamics, Mixed-integer nonlinear programming, Piecewise linear approximation, Chemical reaction networks

GT GELOCA II: Optimization Models for Network Analysis and Classification
September 4, 2026  9:00 AM
Aula B

I. Espejo Miranda, J. Peiró, M. Landete

S. Anglada, C. Galé, J. J. Salazar-González

V. Blanco, M. Martínez Antón, J. Puerto

F. Temprano Garcia, J. Puerto, S. Benati