### Abstract

This paper presents a simple physical principle that can be used to solve the kinematic wave problem for freeways with special lanes and priority vehicles. The principle is shown to yield the flows for all possible 'Riemann problems' arising in a homogeneous highway, so that its application in a simulation is equivalent to the Godunov 'classic' finite difference approximation method. The principle is appealing because its physical basis, unlike purely mathematical formulae, suggests a natural way in which boundary conditions for practical problems may be treated. Perhaps the IT principle will prove useful for solving general problems, e.g. involving multicommodity networks. This issue deserves more study. As an illustration of this potential the paper shows that an IT simulation of the finite highway problem solved in the companion paper (Daganzo, Transportation Research B, 31, 83-102, 1997) matches rather well the exact solution. Additional tests using other boundary conditions for the same problem also revealed a good match,

Original language | English (US) |
---|---|

Pages (from-to) | 103-125 |

Number of pages | 23 |

Journal | Transportation Research Part B: Methodological |

Volume | 31 |

Issue number | 2 |

State | Published - Apr 1997 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Management Science and Operations Research
- Transportation

### Cite this

*Transportation Research Part B: Methodological*,

*31*(2), 103-125.

**A simple physical principle for the simulation of freeways with special lanes and priority vehicles.** / Daganzo, Carlos F.; Lin, Wei Hua; Del Castillo, Jose M.

Research output: Contribution to journal › Article

*Transportation Research Part B: Methodological*, vol. 31, no. 2, pp. 103-125.

}

TY - JOUR

T1 - A simple physical principle for the simulation of freeways with special lanes and priority vehicles

AU - Daganzo, Carlos F.

AU - Lin, Wei Hua

AU - Del Castillo, Jose M.

PY - 1997/4

Y1 - 1997/4

N2 - This paper presents a simple physical principle that can be used to solve the kinematic wave problem for freeways with special lanes and priority vehicles. The principle is shown to yield the flows for all possible 'Riemann problems' arising in a homogeneous highway, so that its application in a simulation is equivalent to the Godunov 'classic' finite difference approximation method. The principle is appealing because its physical basis, unlike purely mathematical formulae, suggests a natural way in which boundary conditions for practical problems may be treated. Perhaps the IT principle will prove useful for solving general problems, e.g. involving multicommodity networks. This issue deserves more study. As an illustration of this potential the paper shows that an IT simulation of the finite highway problem solved in the companion paper (Daganzo, Transportation Research B, 31, 83-102, 1997) matches rather well the exact solution. Additional tests using other boundary conditions for the same problem also revealed a good match,

AB - This paper presents a simple physical principle that can be used to solve the kinematic wave problem for freeways with special lanes and priority vehicles. The principle is shown to yield the flows for all possible 'Riemann problems' arising in a homogeneous highway, so that its application in a simulation is equivalent to the Godunov 'classic' finite difference approximation method. The principle is appealing because its physical basis, unlike purely mathematical formulae, suggests a natural way in which boundary conditions for practical problems may be treated. Perhaps the IT principle will prove useful for solving general problems, e.g. involving multicommodity networks. This issue deserves more study. As an illustration of this potential the paper shows that an IT simulation of the finite highway problem solved in the companion paper (Daganzo, Transportation Research B, 31, 83-102, 1997) matches rather well the exact solution. Additional tests using other boundary conditions for the same problem also revealed a good match,

UR - http://www.scopus.com/inward/record.url?scp=0031118196&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031118196&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031118196

VL - 31

SP - 103

EP - 125

JO - Transportation Research, Series B: Methodological

JF - Transportation Research, Series B: Methodological

SN - 0191-2615

IS - 2

ER -