4462. A Multiperiod Optimization Approach for Expanding Self-Amplifying Hypergraphs under Synergy Laws
Invited abstract in session FB-51: Network Design, stream Hub Location and Network Design.
Friday, 11:00-12:30Room: HG – Seminar-Raum Geschichte 1 (1st floor, st. 10)
Authors (first author is the speaker)
| 1. | Ricardo Gázquez
|
| Institute of Mathematics, Universidad de Granada | |
| 2. | Víctor Blanco
|
| Institute of Mathematics, Universidad de Granada | |
| 3. | Juan Francisco Ocaña-Rivas
|
| Universidad de Granada |
Abstract
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
- Network Design
- Graph Theory
- Network Flows
Status: accepted
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