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math.DS2019
Stability and phase transitions of dynamical flow networks with finite capacities
Leonardo Massai, Giacomo Como, Fabio Fagnani
We study deterministic continuous-time lossy dynamical flow networks with constant exogenous demands, fixed routing, and finite flow and buffer capacities. In the considered model,…
math.DS2019
Equilibria and Systemic Risk in Saturated Networks
Leonardo Massai, Giacomo Como, Fabio Fagnani
We undertake a fundamental study of network equilibria modeled as solutions of fixed point equations for monotone linear functions with saturation nonlinearities. The considered mo…
math.DS2019
Distributed Dynamic Pricing of Multiscale Transportation Networks
Giacomo Como, Rosario Maggistro
We study transportation networks controlled by dynamic feedback tolls. We focus on a multiscale model whereby the dynamics of the traffic flows are intertwined with those of the ro…