## The gravity model in transportation analysis: theory and extensionsAnalisi: TRASPORTI. In generale. ECONOMETRIA. Econometria applicata. |

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### Contents

Introduction | 1 |

The distribution problem | 15 |

Basic deﬁnitions and structure | 29 |

Copyright | |

9 other sections not shown

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### Common terms and phrases

algorithm assignment problem assume assumption average cost balancing method Bregman Chapter combined distribution constrained gravity model convex corresponding cost constraint cost function cost minimizing deﬁned Deﬁnition derivation descriptive model discrimination information distribution and assignment doubly constrained gravity Efficiency Principle Eﬂiciency entropy function entropy maximizing Environment and Planning equilibrium Erlander example exists exp yc exponential deterrence function ﬁnd ﬁnding ﬁnite Finspang ﬁrst ﬂow follows formulation given Hence interactivity interzonal weights Kuhn-Tucker Lagrange multipliers linear programming Linkoping marginal constraints marginal totals mathematical maximum entropy problem maximum likelihood estimate microstates minimization problem model with exponential most-probable-state approach multinomial logit multinomial model Newton’s norm number of trips objective function obtained optimization problem parameters prediction probability distribution Proof Proposition Regional Science satisﬁes satisfying Section speciﬁcation theorem theory trafﬁc Traﬂic Transportation Research trip distribution trip makers trip matrix trip pattem unique optimal solution unique solution user-equilibrium utility zero zone