ON STRONG LAGRANGE DUALITY FOR WEIGHTED TRAFFIC EQUILIBRIUM PROBLEM

被引：7

作者：

Barbagallo, Annamaria ^{[1
]}

Di Vincenzo, Rosalba ^{[2
]}

Pia, Stephane ^{[2
]}

机构：

[1] Univ Naples Federico II, Dept Math & Applicat R Caccioppoli, I-80126 Naples, Italy

[2] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷 / 04期

关键词：

Duality theory; Assumption S; weighted traffic equilibrium problem; INFINITE-DIMENSIONAL DUALITY; VARIATIONAL-INEQUALITIES; REGULARITY; EXISTENCE;

D O I：

10.3934/dcds.2011.31.1097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The weighted traffic equilibrium problem introduced in [17], in which the equilibrium conditions have been expressed in terms of a weighted variational inequality, studies a transportation network in presence of congestion. For such a problem, existence and regularity theorems have been proved in H. In this paper, we analyze the dual problem and characterize the weighted traffic equilibrium solutions by means of Lagrange multipliers, which allow to describe the behavior of the weighted transportation network.

引用

页码：1097 / 1113

页数：17

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