### Abstract

There is clearly a need for optimising traffic systems in order to reduce congestion and improve network reliability. A system optimal assignment is a traffic flow pattern that minimises total network costs. In reality, travellers are not under any centralised control, but instead choose routes in order to minimise their own individual travel costs, which in general does not lead to a system optimal assignment. Travellers may be induced to choose routes that are closer to yielding a system optimal assignment through the use of tolls and signal control. The paper considers both approaches within a static traffic model (where flows and costs stay constant over time) and within a dynamic traffic model (where flows and costs vary over time).

Original language | English |
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Title of host publication | Progress in Industrial Mathematics at ECMI 2008 |

Editors | A D Fitt, J Norbury, H Ockendon, R E Wilson |

Place of Publication | Berlin |

Publisher | Springer Berlin / Heidelberg |

Pages | 953-958 |

Number of pages | 6 |

Volume | 15 |

ISBN (Electronic) | 978-3-642-12110-4 |

ISBN (Print) | 978-3-642-12109-8 |

DOIs | |

Publication status | Published - May 2010 |

Event | 15th European Conference on Mathematics for Industry - London, United Kingdom Duration: 30 Jun 2008 → 4 Jul 2008 |

### Publication series

Name | Mathematics in Industry |
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Publisher | Springer Berlin Heidelberg |

Volume | 15 |

### Conference

Conference | 15th European Conference on Mathematics for Industry |
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Country | United Kingdom |

Period | 30/06/08 → 4/07/08 |

### Keywords

- assignment
- model

### Cite this

*Progress in Industrial Mathematics at ECMI 2008*(Vol. 15, pp. 953-958). (Mathematics in Industry; Vol. 15). Berlin: Springer Berlin / Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_152

**Optimisation through control in static and dynamic traffic networks.** / Mounce, Richard.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Progress in Industrial Mathematics at ECMI 2008 .*vol. 15, Mathematics in Industry, vol. 15, Springer Berlin / Heidelberg, Berlin, pp. 953-958, 15th European Conference on Mathematics for Industry, United Kingdom, 30/06/08. https://doi.org/10.1007/978-3-642-12110-4_152

}

TY - GEN

T1 - Optimisation through control in static and dynamic traffic networks

AU - Mounce, Richard

PY - 2010/5

Y1 - 2010/5

N2 - There is clearly a need for optimising traffic systems in order to reduce congestion and improve network reliability. A system optimal assignment is a traffic flow pattern that minimises total network costs. In reality, travellers are not under any centralised control, but instead choose routes in order to minimise their own individual travel costs, which in general does not lead to a system optimal assignment. Travellers may be induced to choose routes that are closer to yielding a system optimal assignment through the use of tolls and signal control. The paper considers both approaches within a static traffic model (where flows and costs stay constant over time) and within a dynamic traffic model (where flows and costs vary over time).

AB - There is clearly a need for optimising traffic systems in order to reduce congestion and improve network reliability. A system optimal assignment is a traffic flow pattern that minimises total network costs. In reality, travellers are not under any centralised control, but instead choose routes in order to minimise their own individual travel costs, which in general does not lead to a system optimal assignment. Travellers may be induced to choose routes that are closer to yielding a system optimal assignment through the use of tolls and signal control. The paper considers both approaches within a static traffic model (where flows and costs stay constant over time) and within a dynamic traffic model (where flows and costs vary over time).

KW - assignment

KW - model

U2 - 10.1007/978-3-642-12110-4_152

DO - 10.1007/978-3-642-12110-4_152

M3 - Conference contribution

SN - 978-3-642-12109-8

VL - 15

T3 - Mathematics in Industry

SP - 953

EP - 958

BT - Progress in Industrial Mathematics at ECMI 2008

A2 - Fitt, A D

A2 - Norbury, J

A2 - Ockendon, H

A2 - Wilson, R E

PB - Springer Berlin / Heidelberg

CY - Berlin

ER -