Traffic flow optimization on roundabouts

被引:5
作者
Delle Monache, Maria Laura [1 ]
Obsu, Legesse Lemecha [2 ]
Goatin, Paola [1 ]
Kasa, Semu Mitiku [2 ]
机构
[1] Inria Sophia Antipolis Mediterranee, Sophia Antipolis, France
[2] Univ Addis Ababa, Addis Ababa, Ethiopia
来源
TRANSPORTATION: CAN WE DO MORE WITH LESS RESOURCES? - 16TH MEETING OF THE EURO WORKING GROUP ON TRANSPORTATION - PORTO 2013 | 2014年 / 111卷
关键词
Road Traffic; Optimization; Numerical simulations; Scalar conservation laws; Riemann Problem; WAVES;
D O I
10.1016/j.sbspro.2014.01.045
中图分类号
U [交通运输];
学科分类号
08 ; 0823 ;
摘要
The aim of this paper is to optimize the traffic flow on roundabouts using a macroscopic approach. The roundabout is modeled as a sequence of 2x2 junctions: with one mainline and secondary incoming and outgoing roads. We consider two cost functionals: the total travel time and the total waiting time, which give an estimate of the time spent by drivers on the network section. These cost functionals are minimized analytically for each junction with respect to the right of way parameter of the incoming road. Then, through numerical simulations, the traffic behavior is studied for the whole roundabout. The numerical approximations compare the traffic behavior for an optimized right of way parameter and for a fixed constant parameter. (C) 2013 The Authors. Published by Elsevier Ltd.
引用
收藏
页码:127 / 136
页数:10
相关论文
共 12 条
[1]  
[Anonymous], 1959, Matematiceskij sbornik
[2]  
[Anonymous], MATH MODELS METHODS
[3]  
[Anonymous], 2006, TRAFFIC FLOW NETWORK
[4]   Traffic flow on a road network [J].
Coclite, GM ;
Garavello, M ;
Piccoli, B .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 36 (06) :1862-1886
[5]   ROAD NETWORKS WITH PHASE TRANSITIONS [J].
Colombo, Rinaldo M. ;
Goatin, Paola ;
Piccoli, Benedetto .
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2010, 7 (01) :85-106
[6]  
Cutolo A., 2011, INT SCHOLARLY RES NE, V2011, P19
[7]  
Delle Monache M. L., 2013, PREPRINT
[8]   THE CAUCHY PROBLEM AT A NODE WITH BUFFER [J].
Garavello, Mauro ;
Goatin, Paola .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (06) :1915-1938
[9]  
LeVeque R. J., 1992, Numerical Methods for Conservation Laws, V3
[10]   ON KINEMATIC WAVES .2. A THEORY OF TRAFFIC FLOW ON LONG CROWDED ROADS [J].
LIGHTHILL, MJ ;
WHITHAM, GB .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 229 (1178) :317-345