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Traffic assignment models. Numerical aspects

2020/03/26 by Gasnikov, Alexander, Gasnikova, Evgenia
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2003.12160

Abstract

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 assignment models. The equilibrium in such models can be found from convex-concave saddle-point problem. We show how to solve this problem by using special combination of universal gradient method and Sinkhorn's algorithm.

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