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20112023
most citedPrimal-Dual Method for Searching Equilibrium in Hierarchical Congestion Population Games

12 citations · 33 across the 13 of their papers we have counts for

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14 papers

math.OC2023

On accelerated coordinate descent methods for searching equilibria in two-stage transportation equilibrium traffic flow distribution model

Nikita Iltyakov, Mark Obozov, Igor Dyslevski +3

The search for equilibrium in a two-stage traffic flow model reduces to the solution of a special nonsmooth convex optimization problem with two groups of different variables. For…

math.OC2023★ 1 cited

Sufficient conditions for multi-stages traffic assignment model to be the convex optimization problem

Evgenia Gasnikova, Alexander Gasnikov, Demyan Yarmoshik +7

In this paper we consider multi-stages traffic assignment with several demand layers, user types and network types. We consider two stages: demand matrix calculation (Entropy Wilso…

math.OC2023

An evolutionary view on equilibrium models of transport flows

Evgenia Gasnikova, Alexander Gasnikov, Yaroslav Kholodov +1

In this short paper we describe natural logit population games dynamics that explain equilibrium models of origin-destination matrix estimation and (stochastic) traffic assignment…

math.OC2020

Finding equilibrium in two-stage traffic assignment model

Ekaterina Kotliarova, Alexander Gasnikov, Evgenia Gasnikova +1

Authors describe a two-stage traffic assignment model. It contains of two blocks. The first block consists of model for calculating correspondence (demand) matrix, whereas the seco…

math.OC2020★ 1 cited

Traffic assignment models. Numerical aspects

Alexander Gasnikov, Evgenia Gasnikova

In this book we describe BMW traffic assignment model and Nesterov-dePalma model. We consider Entropy model for demand matrix. Based on this models we build multi-stage traffic ass…

math.OC2017★ 5 cited

Universal similar triangulars method for searching equilibriums in traffic flow distribution models

Dilyara Baimurzina, Alexander Gasnikov, Evgenia Gasnikova +4

We describe how primal-dual version of Nesterov's Universal Method (with one projection) can be applied to solve the dual problem for the problem of searching equilibrium traffic f…