Improving Truncated Newton Method for the Logit-Based Stochastic User Equilibrium Problem
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xu, Min& Zhou, Bojian& He, Jie. 2019. Improving Truncated Newton Method for the Logit-Based Stochastic User Equilibrium Problem. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1196931
Modern Language Association (MLA)
Xu, Min…[et al.]. Improving Truncated Newton Method for the Logit-Based Stochastic User Equilibrium Problem. Mathematical Problems in Engineering No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1196931
American Medical Association (AMA)
Xu, Min& Zhou, Bojian& He, Jie. Improving Truncated Newton Method for the Logit-Based Stochastic User Equilibrium Problem. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1196931
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196931