This paper introduces a stylized model of delay propagation on temporal networks to study the functionality of schedule-based systems where timing is crucial. The model exhibits timeliness criticality, a novel critical behavior where the magnitude of the delay-mitigating buffer acts as a control parameter. The authors characterize fluctuations near criticality (avalanches) and identify corresponding critical exponents. The model is applied to real-world temporal systems like production networks, and potential connections to the mode-coupling theory of glasses, depinning transition, and the directed polymer problem are explored.
Publisher
Nature Physics
Published On
Jun 19, 2024
Authors
José Moran, Matthijs Romeijnders, Pierre Le Doussal, Frank P. Pijpers, Utz Weitzel, Debabrata Panja, Jean-Philippe Bouchaud
Tags
delay propagation
temporal networks
critical behavior
timeliness criticality
real-world applications
critical exponents
production networks
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