论文标题

交通分配模型。数值方面

Traffic assignment models. Numerical aspects

论文作者

Gasnikov, Alexander, Gasnikova, Evgenia

论文摘要

在本书中,我们描述了宝马交通分配模型和Nesterov-Depalma模型。我们考虑需求矩阵的熵模型。基于此模型,我们构建了多阶段的流量分配模型。从凸 - 孔concave鞍点问题中可以找到此类模型中的平衡。我们通过使用通用梯度方法和Sinkhorn算法的特殊组合来展示如何解决此问题。

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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