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The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems

The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems
The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems

We consider a first-order dynamical system for solving inverse quasi-variational inequalities in finite dimensional spaces. Through an explicit time discrete version of the proposed dynamical system, we investigate the linear convergence of a projection algorithm under suitable conditions of parameters. Moreover, we investigate the application of inverse quasi-variational inequalities in traffic assignment problem and network equilibrium control problem. The numerical experiments for these practical problems confirm the linear convergence of the theoretical part. In particular, the obtained results provide a positive answer to an open question posted by S. Dey and S. Reich in Optimization, DOI: 10.1080/02331934.2023.2173525 (2023).

Inverse quasi-variational inequality, linear convergence, network equilibrium control problem, projection algorithm, traffic assignment
0233-1934
Trinh, Thanh Quoc
a0abb7a5-96af-42c8-987e-da1c7a2daa2c
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
Trinh, Thanh Quoc
a0abb7a5-96af-42c8-987e-da1c7a2daa2c
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf

Trinh, Thanh Quoc and Vuong, Phan Tu (2024) The projection algorithm for inverse quasi-variational inequalities with applications to traffic assignment and network equilibrium control problems. Optimization. (doi:10.1080/02331934.2024.2329788).

Record type: Article

Abstract

We consider a first-order dynamical system for solving inverse quasi-variational inequalities in finite dimensional spaces. Through an explicit time discrete version of the proposed dynamical system, we investigate the linear convergence of a projection algorithm under suitable conditions of parameters. Moreover, we investigate the application of inverse quasi-variational inequalities in traffic assignment problem and network equilibrium control problem. The numerical experiments for these practical problems confirm the linear convergence of the theoretical part. In particular, the obtained results provide a positive answer to an open question posted by S. Dey and S. Reich in Optimization, DOI: 10.1080/02331934.2023.2173525 (2023).

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Accepted/In Press date: 1 March 2024
e-pub ahead of print date: 21 March 2024
Published date: 21 March 2024
Keywords: Inverse quasi-variational inequality, linear convergence, network equilibrium control problem, projection algorithm, traffic assignment

Identifiers

Local EPrints ID: 488949
URI: http://eprints.soton.ac.uk/id/eprint/488949
ISSN: 0233-1934
PURE UUID: 08445888-9fab-487e-91d5-4491d8702da9
ORCID for Phan Tu Vuong: ORCID iD orcid.org/0000-0002-1474-994X

Catalogue record

Date deposited: 09 Apr 2024 17:13
Last modified: 10 May 2024 01:56

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Contributors

Author: Thanh Quoc Trinh
Author: Phan Tu Vuong ORCID iD

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