Phase Transition Model for Traffic at a Junction

被引:0
|
作者
Colombo R.M. [1 ]
Garavello M. [2 ]
机构
[1] Dipartimento di Matematica, Università di Brescia, Brescia
[2] Dipartimento di Matematica e Applicazioni, Università di Milano, Milano
关键词
Weak Solution; Riemann Problem; Telecommunication Network; Riemann Solver; Fundamental Diagram;
D O I
10.1007/s10958-013-1631-z
中图分类号
学科分类号
摘要
Consider a junction with n incoming and m outgoing roads. Along each road, the flow of traffic is described through the continuum model displaying phase transitions introduced by R. M. Colombo (2002). This note provides a Riemann solver for the resulting Riemann problem at the junction. © 2013, Springer Science+Business Media New York.
引用
收藏
页码:30 / 36
页数:6
相关论文
共 50 条
  • [1] THE RIEMANN PROBLEM AT A JUNCTION FOR A PHASE TRANSITION TRAFFIC MODEL
    Garavello, Mauro
    Marcellini, Francesca
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (10) : 5191 - 5209
  • [2] Phase transition in a traffic model with passing
    Ispolatov, I
    Krapivsky, PL
    PHYSICAL REVIEW E, 2000, 62 (05): : 5935 - 5939
  • [3] Phase transition in a computer network traffic model
    Ohira, Toru
    Sawatari, Ryusuke
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 58 (01):
  • [4] Phase transition in a computer network traffic model
    Ohira, T
    Sawatari, R
    PHYSICAL REVIEW E, 1998, 58 (01) : 193 - 195
  • [5] A GENERAL PHASE TRANSITION MODEL FOR VEHICULAR TRAFFIC
    Blandin, S.
    Work, D.
    Goatin, P.
    Piccoli, B.
    Bayen, A.
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2011, 71 (01) : 107 - 127
  • [6] Phase transition phenomena in the Internet and a new phase transition-based traffic model
    Bai, Gang
    Long, Ke-Ping
    Cheng, Shi-Duan
    Chen, Jun-Liang
    Tien Tzu Hsueh Pao/Acta Electronica Sinica, 2002, 30 (02): : 191 - 195
  • [7] A general phase transition model for traffic flow on networks
    Blandin, Sebastien
    Goatin, Paola
    Piccoli, Benedetto
    Bayen, Alexandre
    Work, Daniel
    PROCEEDINGS OF EWGT 2012 - 15TH MEETING OF THE EURO WORKING GROUP ON TRANSPORTATION, 2012, 54 : 302 - 311
  • [8] Phase transition and scaling in the generalized traffic flow model
    Nagatani, T
    PHYSICA A, 1997, 246 (3-4): : 460 - 470
  • [9] Traffic model with an absorbing-state phase transition
    Iannini, M. L. L.
    Dickman, Ronald
    PHYSICAL REVIEW E, 2017, 95 (02)
  • [10] Phase transition and scaling in the generalized traffic flow model
    Shizuoka Univ, Hamamatsu, Japan
    Phys A Stat Theor Phys, 3-4 (460-470):