Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 8: Focus Session: Nonlinear Dynamics and Stochastic Processes – Advances in Theory and Applications II
DY 8.8: Talk
Monday, March 17, 2025, 17:30–17:45, H43
Critical demand in a stochastic model of flows in supply networks — •Yannick Feld1 and Marc Barthelemy1,2 — 1Université Paris-Saclay, CNRS, CEA, Institut de Physique Théorique, 91191 Gif-sur-Yvette, France — 2Centre d’Analyse et de Mathématique Sociales (CNRS/EHESS) 54 Avenue de Raspail, 75006 Paris, France
Supply networks are essential to modern production, yet their critical properties remain understudied. This talk presents a stochastic model with random production capacities that allows us to investigate material flow to a root node, focusing on the network topology and buffer stocks. We examine the critical demand at the root, where unsatisfied demand diverges. Without stocks, minimal production governs behavior, and topology is mostly irrelevant. Buffer stocks introduce memory, significantly altering the dynamics. Now the topology is crucial, with local connectivity proving beneficial.
Keywords: Supply-chain; criticality; material flow; network topology