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http://hdl.handle.net/10397/81778
Title: | Improving truncated newton method for the logit-based stochastic user equilibrium problem | Authors: | Xu, M Zhou, BJ He, J |
Issue Date: | 2019 | Source: | Mathematical problems in engineering, v. 2019, 7313808, p. 1-15 | Abstract: | This study proposes an improved truncated Newton (ITN) method for the logit-based stochastic user equilibrium problem. The ITN method incorporates a preprocessing procedure to the traditional truncated Newton method so that a good initial point is generated, on the basis of which a useful principle is developed for the choice of the basic variables. We discuss the rationale of both improvements from a theoretical point of view and demonstrate that they can enhance the computational efficiency in the early and late iteration stages, respectively, when solving the logit-based stochastic user equilibrium problem. The ITN method is compared with other related methods in the literature. Numerical results show that the ITN method performs favorably over these methods. | Publisher: | Hindawi Publishing Corporation | Journal: | Mathematical problems in engineering | ISSN: | 1024-123X | EISSN: | 1563-5147 | DOI: | 10.1155/2019/7313808 | Rights: | Copyright© 2019 Min Xu et al. /is is an open access article distributed under the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cit The following publication Xu, M., Zhou, B., & He, J. (2019). Improving truncated newton method for the logit-based stochastic user equilibrium problem. Mathematical Problems in Engineering, 2019, 7313808, 1-15 is available at https://dx.doi.org/10.1155/2019/7313808 |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Xu_Truncated_Newton_Method.pdf | 1.63 MB | Adobe PDF | View/Open |
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