Optimal Spatial Interaction And The Gravity Model


Optimal Spatial Interaction And The Gravity Model
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Optimal Spatial Interaction And The Gravity Model


Optimal Spatial Interaction And The Gravity Model
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Author : Sven Svenaeus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Optimal Spatial Interaction And The Gravity Model written by Sven Svenaeus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


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.



Optimal Spatial Interaction And The Gravity Model


Optimal Spatial Interaction And The Gravity Model
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Author : F. Svenaeus
language : en
Publisher: Springer
Release Date : 2014-03-12

Optimal Spatial Interaction And The Gravity Model written by F. Svenaeus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Business & Economics categories.


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.



Gravity And Spatial Interaction Models


Gravity And Spatial Interaction Models
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Author : Kingsley E. Haynes
language : en
Publisher: SAGE Publications, Incorporated
Release Date : 1984-07

Gravity And Spatial Interaction Models written by Kingsley E. Haynes and has been published by SAGE Publications, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-07 with Business & Economics categories.


Haynes and Fotheringham provide an introduction to gravity and spatial interaction models which are extensively applied in forecasting. They trace the different applications of the gravity model to market area analysis, developing real-life examples of the use of these models: planning a new service, defining retail shopping boundaries, forecasting migration and voting patterns, examining university enrollment by area, determining the optimal size of a shopping complex, and locating a facility for best results.



Gravity Models Of Spatial Interaction Behavior


Gravity Models Of Spatial Interaction Behavior
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Author : Ashish Sen
language : en
Publisher: Springer
Release Date : 2011-12-14

Gravity Models Of Spatial Interaction Behavior written by Ashish Sen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-14 with Business & Economics categories.


Gravity models describe, and hence help predict, spatial flows of commuters, air-travelers, migrants, commodities and even messages. They are one of the oldest and most widely used of all social science models. This book presents an up-to-date, consistent and unified approach to the theory, methods and application of the gravity model - which spans from the axiomatic foundations of such models all the way to practical hints for their use. "I have found no better general method for use in applied research dealing with spatial interaction... It is against this background that the present book by Sen and Smith is most welcomed." Walter Isard



Gravity And Spatial Interaction Models


Gravity And Spatial Interaction Models
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Author : Kingsley E. Haynes
language : en
Publisher:
Release Date : 1988

Gravity And Spatial Interaction Models written by Kingsley E. Haynes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.




Spatial Interaction Theory And Planning Models


Spatial Interaction Theory And Planning Models
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Author : Anders Karlqvist
language : en
Publisher: North-Holland
Release Date : 1978

Spatial Interaction Theory And Planning Models written by Anders Karlqvist and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with City planning categories.




Spatial Interaction Modelling


Spatial Interaction Modelling
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Author : John R. Roy
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-15

Spatial Interaction Modelling written by John R. Roy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-15 with Business & Economics categories.


In this book, the author's strong commitment to the multi-disciplinary field of regional science emerges to provide a unifying framework between spatial modelling traditions from quantitative geography and those from spatial economics, whereby each is enhanced. Starting with a detailed discussion of each field illustrated with numerical examples, the two traditions are brought together by either making the economic models probabilistic or transforming the objectives of the geographic models to reflect both utility theory and production theory. The ideas are applied to develop urban models of activity analysis, face-to-face contacts and housing supply, as well as regional models in the areas of input-output analysis, imperfect competition and interregional migration.



The Geography Of Transport Systems


The Geography Of Transport Systems
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Author : Jean-Paul Rodrigue
language : en
Publisher: Routledge
Release Date : 2013-07-18

The Geography Of Transport Systems written by Jean-Paul Rodrigue and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Science categories.


Mobility is fundamental to economic and social activities such as commuting, manufacturing, or supplying energy. Each movement has an origin, a potential set of intermediate locations, a destination, and a nature which is linked with geographical attributes. Transport systems composed of infrastructures, modes and terminals are so embedded in the socio-economic life of individuals, institutions and corporations that they are often invisible to the consumer. This is paradoxical as the perceived invisibility of transportation is derived from its efficiency. Understanding how mobility is linked with geography is main the purpose of this book. The third edition of The Geography of Transport Systems has been revised and updated to provide an overview of the spatial aspects of transportation. This text provides greater discussion of security, energy, green logistics, as well as new and updated case studies, a revised content structure, and new figures. Each chapter covers a specific conceptual dimension including networks, modes, terminals, freight transportation, urban transportation and environmental impacts. A final chapter contains core methodologies linked with transport geography such as accessibility, spatial interactions, graph theory and Geographic Information Systems for transportation (GIS-T). This book provides a comprehensive and accessible introduction to the field, with a broad overview of its concepts, methods, and areas of application. The accompanying website for this text contains a useful additional material, including digital maps, PowerPoint slides, databases, and links to further reading and websites. The website can be accessed at: http://people.hofstra.edu/geotrans This text is an essential resource for undergraduates studying transport geography, as well as those interest in economic and urban geography, transport planning and engineering.



Optimization Techniques And Applications Icota 95


Optimization Techniques And Applications Icota 95
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Author : G Z Liu
language : en
Publisher: World Scientific
Release Date : 1995-09-01

Optimization Techniques And Applications Icota 95 written by G Z Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-01 with categories.


With the advent of powerful computers and novel mathematical programming techniques, the multidisciplinary field of optimization has advanced to the stage that quite complicated systems can be addressed. The conference was organized to provide a platform for the exchange of new ideas and information and for identifying needs for future research. The contributions covered both theoretical techniques and a rich variety of case studies to which optimization can be usefully applied.



Interaction Evolution And Chaos In Space


Interaction Evolution And Chaos In Space
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Author : Peter Nijkamp
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Interaction Evolution And Chaos In Space written by Peter Nijkamp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.


For many decades scholars from various disciplines have been intrigued by the question whether there are unifying principles or models that have a validity in different disciplines. The building of such analytical frameworks bridging the gaps between scientific traditions is a very ambitious task and has not been very successful up till now. In the past - in a static context - several such principles have been defined and advocated at the edge of the natural sciences on the one hand and social sciences (in particular, economics and geography) on the other hand, mainly based on the paradigm of 'social physics'. Some important contributions to the integration of the spatial systems sciences and physics can be found in gravity theory and entropy theory, which have formed the comer stones of interaction models in space. This book is about spatial interaction models. It describes the origin, the history and the correspondence of such models from a 'social physics' perspective. It is emphasized that such models need a clear behavioural underpinning as a sine qua non for a valid use in spatial systems analysis. This view also explains the use of micro-based disaggregate choice models as a tool for analyzing spatial systems. This is mainly analyzed in Part A of this book.