Abstract
The transport planning process as it is usually carried out consists of anumber of stages. This paper considers commonly used models for two of these stages, trip distribution and traffic assignment, and derives models combining them into a single stage.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bacharach M. (1970). Biproportional Matrices and Input-Output Change. Cambridge University Press.
Beckmann M., McGuire C.B. and Winsten C.B. (1956). Studies in the Economics of Transportation. Cowles Commission Monograph. Yale University Press, New Haven
Beckmann M. (1971). On the Metaphysical foundations of traffic theory; entropy revisited. Traffic Flow and Transportation. Proceedings of The Fifth International Symposium on the Theory of Traffic Flow and Transportation. Elsevier, New York.
Bruynooghe M., Gibert A. and Sakarovitch M. (1968). Une Methode d’Affectation du Trafic. Report from Service d’Etudes Techniques des Routes et Autoroutes SETRA, Paris.
Bruynooghe M. (1969). Une Modele Integre de Distribution et d’ Affectation de Trafic sur un Reseau. Report from Institut Recherche Transport I.R.T., Department Recherche Operationnelle et Informatique, Paris
Evans Suzanne P. (1973). Some Applications of Mathematical Optimisation Theory in Transport Planning. Ph.D.Thesis, University of London,
Evans Suzanne P. (1974). Some Models for Combining the Trip Distribution and Traffic Assignment stages in the Transport Planning Process. Unabridged and unpublished version of the paper presented at the Symposium on Traffic Equilibrium Methods, Universite de Montreal, November 1974.
Florian M., Nguyen S. and Ferland J. (1974). On the Combined Distribution-Assignment of Traffic. Publication #8 - Centre de recherche sur les transports, Universite de Montreal.
Frank M. and Wolfe P. (1956). An algorithm for quadratic programming. Naval Research Logistics Quarterly 3 , 95 – 110.
Gibert A. (1968). A Method for the Traffic Assignment Problem when Demand is Elastic. LBS - TNT - 85. Transport Network Theory Unit, London Graduate School of Business Studies. Jorgensen N.O.
Martin B.V., Memmott F.W. and BONE A.J. (1961). Principles and Techniques of Predicting Future Demand for Urban Area Transportation. M.I.T. Report No. 3. Massachusetts Institute of Technology, Cambridge, Mass.
Murchland J.D. (1966). Some remarks on the Gravity Model of Traffic Distribution and an Equivalent Maximization Formulation. LSE - TNT - 38. Transport Network Theory Unit, London Graduate School of Business Studies.
Murchland J.D. (1969). Road network traffic distribution in equilibrium. Paper presented at the conference Mathematical Methods in the Economic Sciences. Mathematisches Forschungsinstitut, Oberwolfach.
Rockafellar R.T. (1967). Convex programming and systems of elementary monotonic relations. J. Math.Anal.Appl. 19, 543 – 564.
Tomlin J.A. (1971). A mathematical programming model for the combined distribution - assignment of traffic. Transpn. Sci. 5 , 122 – 140,
Vajda A. (1961). Mathematical Programming. Addison - Wesley, Reading, Mass.
Wardrop J.G. (1952). Some theoretical aspects of road traffic research. Proc. Inst, of Civil Eng. Part II, 325 – 378.
Wilson A.G. (1967). A statistical theory of spatial distribution models. Transpn Res. 1, 253 – 270.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Evans, S.P. (1976). Some Models for Combining the Trip Distribution and Traffic Assignment Stages in the Transport Planning Process. In: Florian, M.A. (eds) Traffic Equilibrium Methods. Lecture Notes in Economics and Mathematical Systems, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48123-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-48123-9_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07620-9
Online ISBN: 978-3-642-48123-9
eBook Packages: Springer Book Archive