Nonlinear Min-Cost-Pursued Route-Swapping Dynamic System
Joint Authors
Zhang, Wen-yi
Guan, Wei
Ma, Jihui
Wang, Tao
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This study proposes a nonlinear min-cost-pursued swapping dynamic (NMSD) system to model the evolution of selfish routing games on traffic network where travelers only swap from previous costly routes to the least costly ones.
NMSD is a rational behavior adjustment process with stationary link flow pattern being the Wardrop user equilibrium.
NMSD is able to prevent two behavioral deficiencies suffered by the existing min-cost-oriented models and keep solution invariance.
NMSD relaxes the homogeneous user assumption, and the continuous-time NMSD (CNMSD) and discrete-time NMSD (DNMSD) share the same revision protocol.
Moreover, CNMSD is Lyapunov-stable.
Two numerical examples are conducted.
The first one is designed to characterize the NMSD-conducted network traffic evolution and test the stability of day-to-day NMSD.
The second one aims to explore the impacts of network scale on the stability of route-swaps conducted by pairwise and min-cost-pursed swapping behaviors.
American Psychological Association (APA)
Zhang, Wen-yi& Guan, Wei& Ma, Jihui& Wang, Tao. 2013. Nonlinear Min-Cost-Pursued Route-Swapping Dynamic System. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-450796
Modern Language Association (MLA)
Zhang, Wen-yi…[et al.]. Nonlinear Min-Cost-Pursued Route-Swapping Dynamic System. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-450796
American Medical Association (AMA)
Zhang, Wen-yi& Guan, Wei& Ma, Jihui& Wang, Tao. Nonlinear Min-Cost-Pursued Route-Swapping Dynamic System. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-450796
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450796