Stewart, Kathryn and Maher, Mike
(2006)
*Minimal revenue network tolling: system optimisation under stochastic assignment.*
In:
Mathematical and Computational Models for Congestion Charging.
Applied Optimization, 101
(101).
Springer, New York, 201-218..
ISBN 978-0-387-29644-9

## Abstract/Description

The classical road tolling problem is to toll network links such that, under the principles of Wardropian User Equilibrium (UE) assignment, a System Optimising (SO) flow pattern is obtained. Such toll sets are however non-unique, and further optimisation is possible: for example, minimal revenue tolls create the desired SO flow pattern at minimal additional cost to the users. In the case of deterministic assignment, the minimal revenue toll problem is capable of solution by various methods, such as linear programming [BHR97] and heuristically by reduction to a multi-commodity max-flow problem [Dia00]. However, it is generally accepted that deterministic models are less realistic than stochastic, and thus it is of interest to investigate the principles of tolling under stochastic modelling conditions. This paper develops methodologies to examine the minimal revenue toll problem in the case of Stochastic User Equilibrium. Tolling solutions for both ‘true’ System Optimum and Stochastic System Optimum under SUE are derived, using both logit and probit assignment methods.

Item Type: | Book Section |
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ISBN: | 978-0-387-29644-9 |

Electronic ISBN: | 978-0-387-29645-6 |

Uncontrolled Keywords: | Road traffic tolls; Traffic charging; System optimisation; Random variable; Statistical analysis; |

University Divisions/Research Centres: | Faculty of Engineering, Computing and Creative Industries > School of Engineering and the Built Environment |

Dewey Decimal Subjects: | 500 Science > 510 Mathematics > 519 Probabilities & applied mathematics 300 Social sciences > 330 Economics > 330 Economics 300 Social sciences > 380 Commerce, communications & transportation > 388 Transportation; ground transportation |

Library of Congress Subjects: | H Social Sciences > HE Transportation and Communications H Social Sciences > HB Economic Theory Q Science > QA Mathematics |

Item ID: | 1923 |

Depositing User: | RAE Import |

Date Deposited: | 23 Jul 2008 13:33 |

Last Modified: | 14 May 2015 10:32 |

URI: | http://researchrepository.napier.ac.uk/id/eprint/1923 |

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