Optimal Spatial Interaction and the Gravity Model

Name: Optimal Spatial Interaction and the Gravity Model
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540097297
Price: 19721 HUF
Availability: InStock

Szerző: Sven Erlander

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Elérhetőség: Beszállítói készleten

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This book has grown out of a desire to explore the possibilities of using optimizing models in trans...

Információk a könyvről

Szerző

Sven Erlander

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

1980

oldal

113

EAN

9783540097297

ISBN

3540097295

Enbook ID

06806058

Kiadó

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Súly

229

Méretek

170 x 244 x 7

Teljes leírás

This book has grown out of a desire to explore the possibilities of using optimizing models in transportation planning. This approach has been followed throughout. Models which combine descriptive and optimizing elements are not treated. The gravity model is here studied as the solution to an optimizing model. In spite of this approach, much of the material shoula be of general interest. Algorithms are not discussed. The author has benefited from discussions with many colleagues. M. Florian suggested the term "interacti vi ty". N. F. Stewart and P. Smeds gave many valu able comments on a first draft. M. Beckmann made me think once more about the final chapters. R. Grubbstrem and K. Jornsten helped clarifYing some things in the same chapters. Remaining insufficiencies are due to the author. Gun Mannervik typed with great patience. Linkoping in October 1979 Sven Erlander ABSTRACT The book proposes extended use of optimizing models in transportation plann ing. An entropy constrained linear program for the trip distribution problem is formulated and shown to have the ordinarJ doubly constrained gravity model as its solution. Entropy is here used as a measure of interactivity, which is constrained to be at a prescribed level. In this way the variation present in the reference trip matrix is preserved. (The properties of entropy as a dispersion measure are shortly discussed. ) The detailed mathematics of the optimal solutions as well as of sensitivity and duality are given.

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Optimal Spatial Interaction and the Gravity Model

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