A vector network equilibrium problem with a unilateral constraint

Yunan Wu; Guangya Chen; Edwin Tai Chiu Cheng

doi:10.3934/jimo.2010.6.453

A vector network equilibrium problem with a unilateral constraint

Yunan Wu, Guangya Chen, Edwin Tai Chiu Cheng

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

Abstract

We formulate a network equilibrium model with a unilateral constraint based on Wardrop's principle and establish that the model is equivalent to a quasi-variational inequality. For the case with vector cost functions, we use Gerstewitz's function to derive two equivalence relations between the vector network equilibrium model with a unilateral constraint and quasi-variational inequalities without any convexity assumptions.

Original language	English
Pages (from-to)	453-464
Number of pages	12
Journal	Journal of Industrial and Management Optimization
Volume	6
Issue number	3
DOIs	https://doi.org/10.3934/jimo.2010.6.453
Publication status	Published - 1 Aug 2010

Keywords

Network equilibrium
Variational inequality
Wardrop's equilibrium principle

ASJC Scopus subject areas

Business and International Management
Strategy and Management
Control and Optimization
Applied Mathematics

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10.3934/jimo.2010.6.453

Cite this

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abstract = "We formulate a network equilibrium model with a unilateral constraint based on Wardrop's principle and establish that the model is equivalent to a quasi-variational inequality. For the case with vector cost functions, we use Gerstewitz's function to derive two equivalence relations between the vector network equilibrium model with a unilateral constraint and quasi-variational inequalities without any convexity assumptions.",

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AB - We formulate a network equilibrium model with a unilateral constraint based on Wardrop's principle and establish that the model is equivalent to a quasi-variational inequality. For the case with vector cost functions, we use Gerstewitz's function to derive two equivalence relations between the vector network equilibrium model with a unilateral constraint and quasi-variational inequalities without any convexity assumptions.

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KW - Variational inequality

KW - Wardrop's equilibrium principle

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DO - 10.3934/jimo.2010.6.453

M3 - Journal article

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JF - Journal of Industrial and Management Optimization

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ER -

A vector network equilibrium problem with a unilateral constraint

Abstract

Keywords

ASJC Scopus subject areas

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