## Abstract

This paper outlines a multi-modal, elastic, equilibrium transportation model in which signal green-times and prices charged to traverse a route (public transport fares, parking charges or road-use charges) are explicitly included. An algorithm is specified which, for a fairly general objective function, continually moves current traffic flows, green-times and prices within the model toward locally optimal values while taking account of users' responses. The directions of movement of current traffic flows, green-times and prices are determined by solving linear approximations to the actual problem. The results of applying a simplified form of the algorithm to a small network model with five routes and two signal-controlled junctions are given.

It is proved that under realistic conditions the sequence of (traffic flows, green-times, prices) triples generated by the algorithm does indeed approach those triples which possess a reasonable local optimality property. However the optimal control problem discussed here is non-convex and just a Karush-Kuhn-Tucker point is the "answer" sought. (C) 2000 Elsevier Science Ltd. All rights reserved.

Original language | English |
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Pages (from-to) | 41-70 |

Number of pages | 30 |

Journal | Transportation Research Part B: Methodological |

Volume | 35 |

Issue number | 1 |

Publication status | Published - Jan 2001 |

## Keywords

- decision support system
- bilevel programming
- transportation networks
- signal control
- road pricing
- TRAFFIC ASSIGNMENT
- EQUILIBRIA
- STABILITY
- NETWORKS
- SYSTEMS