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Robust Multi-Criteria Traffic Network Equilibrium Problems with Path Capacity Constraints
Version 1
: Received: 6 June 2023 / Approved: 6 June 2023 / Online: 6 June 2023 (08:33:18 CEST)
A peer-reviewed article of this Preprint also exists.
Ma, X.-X.; Xu, Y.-D. Robust Multi-Criteria Traffic Network Equilibrium Problems with Path Capacity Constraints. Axioms 2023, 12, 662. Ma, X.-X.; Xu, Y.-D. Robust Multi-Criteria Traffic Network Equilibrium Problems with Path Capacity Constraints. Axioms 2023, 12, 662.
Abstract
This paper focuses on robust multi-criteria traffic network equilibrium problems with path capacity constraints. The concepts of robust vector equilibrium and robust vector equilibrium with respect to worst case are introduced, respectively. To generate a subset of robust vector equilibrium, an equivalent min-max optimization problem is constructed. In addition, a direct search algorithm, in which the step size without derivatives and redundant parameters, for solving this min-max problem is proposed. To find a subset of robust vector equilibrium with respect to worst case, an equivalent smoothing optimization problem based on a variant version of ReLU activation function is established. Numerical experiments are also presented to expound the advantages of the algorithms.
Keywords
Multi-criteria traffic network; Robust vector equilibrium; Min-max method; Smoothing method
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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