Dynamical System Modeling and Stability Investigation�DSMSI-2023
Dedicated to the 77th anniversary of the outstanding Ukrainian scientist
professor Denys Khusainov
December 19-21, 2023, Kyiv, Ukraine
Optimizing network economics problem with adaptive algorithms for variational inequalities
Volodymyr Semenov, Serhii Denysov, �Taras Shevchenko National University of Kyiv
Blood supply network structure
Dynamical System Modeling and Stability Investigation, DSMSI-2023
Model formulation
Dynamical System Modeling and Stability Investigation, DSMSI-2023
In terms of link flows:
In terms of path flows:
Path flows costs through the link flows:
Variational inequality formulation
Dynamical System Modeling and Stability Investigation, DSMSI-2023
Extragradient algorithms
Dynamical System Modeling and Stability Investigation, DSMSI-2023
Two operator calculations, two projections, requires Lipschitz constant.
Historically first:
Extragradient algorithms – lean
Dynamical System Modeling and Stability Investigation, DSMSI-2023
Extragradient algorithms – adaptive
Dynamical System Modeling and Stability Investigation, DSMSI-2023
Software suite – problem editor
Dynamical System Modeling and Stability Investigation, DSMSI-2023
Software suite – results view
Dynamical System Modeling and Stability Investigation, DSMSI-2023
Thank you for your attention
Q&A