A discrete rational adjustment process of link flows in traffic networks

被引：65
|
作者：
Guo, Ren-Yong [1 ]
Yang, Hai [2 ,3 ]
Huang, Hai-Jun [3 ]
机构：
[1] Inner Mongolia Univ, Coll Comp Sci, Hohhot 010021, Peoples R China
[2] Hong Kong Univ Sci & Technol, Dept Civil & Environm Engn, Kowloon, Hong Kong, Peoples R China
[3] Beihang Univ, Sch Econ & Management, Beijing 100191, Peoples R China
来源：
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES | 2013年 / 34卷
基金：
中国国家自然科学基金;
关键词：
Traffic dynamics; User equilibrium; System optimum; Convergence; TRAVELER INFORMATION-SYSTEMS; STOCHASTIC EQUILIBRIUM; DYNAMICAL-SYSTEMS; EVOLUTION PROCESS; USER EQUILIBRIUM; ASSIGNMENT; STABILITY; MODEL; EXISTENCE; OPTIMUM;
D O I：
10.1016/j.trc.2013.06.002
中图分类号：
U [交通运输];
学科分类号：
08 ; 0823 ;
摘要：
A discrete dynamical system model, called a discrete rational adjustment process (DRAP), is built upon link-based variables to characterize the process of achieving equilibrium from a non-equilibrium state in traffic networks. The equilibrium state can be in either a deterministic or a stochastic user equilibrium state. The DRAP is formulated in a general framework with either fixed or elastic demand. Several mathematical properties of the DRAP are presented, including the invariance of its evolutionary trajectory, the equivalence between its stationary state and user equilibrium, the uniqueness of its stationary state, and its convergence. Proper toll schemes can make the DRAP evolve towards a system optimum state. Numerical experiments are carried out to show application of the DRAP and its properties and the effectiveness of toll schemes. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：121 / 137
页数：17
相关论文
共 50 条
  • [21] Enhancing traffic capacity for multilayer networks by link rewiring
    Li, Min
    Ma, Jinlong
    Zhang, Junfeng
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (25):
  • [22] Estimating link travel time functions for heterogeneous traffic flows on freeways
    Lu, Zhaoyang
    Meng, Qiang
    Gomes, Gabriel
    JOURNAL OF ADVANCED TRANSPORTATION, 2016, 50 (08) : 1683 - 1698
  • [23] On Distributed Optimal Control of Traffic Flows in Transportation Networks
    Rosdahl, Christian
    Nilsson, Gustav
    Como, Giacomo
    2018 IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (CCTA), 2018, : 903 - 908
  • [24] Survivability evaluation for networks carrying complex traffic flows
    Jamali, Amin
    Berenjkoub, Mehdi
    Saidi, Hossein
    Ghahfarokhi, Behrouz Shahgholi
    DIGITAL COMMUNICATIONS AND NETWORKS, 2023, 9 (02) : 534 - 544
  • [25] Resource provisioning for multigranular traffic flows in multilayer networks
    Jacek Rzasa
    Artur Lason
    Andrzej Szymanski
    Andrzej Jajszczyk
    Photonic Network Communications, 2012, 23 : 60 - 66
  • [26] Combinatorial and continuous models for the optimization of traffic flows on networks
    Fügenschuh, A
    Herty, M
    Klar, A
    Martin, A
    SIAM JOURNAL ON OPTIMIZATION, 2006, 16 (04) : 1155 - 1176
  • [27] Design of Optical Wireless Networks with Fair Traffic Flows
    Tomaszewski, Artur
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [28] Hierarchical Neural Networks for Detecting Anomalous Traffic Flows
    Ryu, Seung-Jin
    Go, Wooyoung
    Lee, Daewoo
    Yoon, Han-Jun
    2019 IEEE GLOBAL COMMUNICATIONS CONFERENCE (GLOBECOM), 2019,
  • [29] Resource provisioning for multigranular traffic flows in multilayer networks
    Rzasa, Jacek
    Lason, Artur
    Szymanski, Andrzej
    Jajszczyk, Andrzej
    PHOTONIC NETWORK COMMUNICATIONS, 2012, 23 (01) : 60 - 66
  • [30] Optimal Regulation of Traffic Flows in Networks-on-Chip
    Jafari, Fahimeh
    Lu, Zhonghai
    Jantsch, Axel
    Yaghmaee, Mohammad H.
    2010 DESIGN, AUTOMATION & TEST IN EUROPE (DATE 2010), 2010, : 1621 - 1624
12345