Abstract
Since the advent of linear programming and nonlinear programming modelling of transportation and location has meant that space is treated in terms of subscripted variables where the subscripts represent points in space enumerated in an arbitrary manner. The geometric image of what is being modelled is lost in this process.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Angel, S. and G.M. Hyman (1970) “Urban Velocity Fields”, Environment and Planning 2, 211–224.
Angel, S. and G. M. Hyman (1971) “Urban Travel Time”, Papers and Proceedings of the Regional Science Association 26, 85–99.
Angel, S. and G. M. Hyman (1972) “Urban Spatial Interaction”, Environment and Planning 4, 99–118.
Angel, S. and G. M. Hyman (1972) “Urban Transportation Expenditures”, Papers and Proceedings of the Regional Science Association 27, 105–123.
Angel, S. and G. M. Hyman (1976) Urban Fields-A Geometry of Movement for Regional Science (pmPion, London).
Beckmann, M. J. (1952) “A Continuous Model of Transportation”, Econometrica 20, 643–660.
Beckmann, M. J. (1953) “The Partial Equilibrium of a Continuous Space Market”, Weltwirtschaftliches Archiv 71, 73–89.
Beckmann, M. J. (1968) Location Theory (Random House, New York).
Beckmann, M. J. (1985) “Spatial price policy and the demand for transportation”, Journal of Regional Science 25, 67–371
Beckmann M. J. and T. Puu (1985) Spatial Economics-Potential, Density, and Flow (North-Holland)
Bunge, W. (1966) Theoretical Geography (Gleerups, Lund).
Koopmans, T. C. (1949) “Optimum Utilization of the Transportation System”, Econometrica 17: Suppl. 136–146.
Wardrop, J. G. (1969) “Minimum Cost Paths in Urban Areas”, Strassenbau-und Strassenverkehrstechnik 86, 184–190.
Warntz, W. (1967) “Global Science and the Tyranny of Space”, Papers and Proceedings of the Regional Science Association 19, 7–19.
Werner, C. (1966) Zur Geometrie von Verkehrsnetzen (Abhandlungen des 1. Geografischen Instituts der FU, Berlin).
Williams, H. C. W. L. and J. D. Orthuzar Salas (1976) “Some Generalizations and Applications of the Velocity Field Concept”, Transportation Research 10, 65–73.
Zitron, N. R. (1974) “A Continuous Model of Optimal-Cost Routes in a Circular City”, Journal of Optimization Theory and Applications 14, 291–303
Zitron, N. R. (1978) “A Critical Conditions for the Cost Density in the Circular City Model”, Journal of Optimization Theory and Applications 24, 507–512
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Puu, T., Beckmann, M. (1999). Continuous Space Modelling. In: Hall, R.W. (eds) Handbook of Transportation Science. International Series in Operations Research & Management Science, vol 23. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5203-1_9
Download citation
DOI: https://doi.org/10.1007/978-1-4615-5203-1_9
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7370-4
Online ISBN: 978-1-4615-5203-1
eBook Packages: Springer Book Archive