A Multiperiod Optimization Framework for Self-Amplifying Structures in Hypergraphs
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.
Palabras clave: Multiperiod optimization Hypergraph-based network design Self-amplifying systems Synergistic flow dynamics Mixed-integer nonlinear programming Piecewise linear approximation Chemical reaction networks