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The role of topology and geometry in optimal network design

  • Some Network Problems
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Papers of the Regional Science Association

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References

  1. Beckmann, M. “A Continuous Model of Transportation,”Econometrica, XX (1952), pp. 643–60.

    Google Scholar 

  2. Beckmann, M. “Principles of Optimum Location for Transportation Networks,” in Garrison, W. L. and Marble, D. F. eds.Quantitative Geography, Part I: Economic and Cultural Topics. Northwestern University: Department of Geography, 1967, pp. 95–119.

  3. Cooper, L. “Location-Allocation Problems,”Operations Research, XI (1963), pp. 331–43.

    Google Scholar 

  4. Friedrich, P. “Die Variationsrechnung als Planungsverfahren der Stadt- und Landesplanung,”Veroeffentlichungen der Akademie fuer Raumforschung und Landesplanung, XXXII (1956).

  5. Friedrich, P. “Mathematical Description of Life in Settled Areas and Derivation of Plan Layout, Thereof as a Problem of Theoretical Town Planning.” Paper presented to the second International Symposium on the Theory of Road Traffic Flow, London, 1963.

  6. Garrison, W. L.,et al. “The Location of Transportation Routes: Connections Between Three Points.” US-Army Transportation Research Command Contract DA 44-177-TC-685, Transportation Center, Northwestern University, (1962).

  7. Kaufmann, W. “Ueber eine Minimalaufgabe der Verkehrstechnik.”Der Bauingenieur, XXXI (1928), pp. 558–61.

    Google Scholar 

  8. Kohl, J. E. “Der Verkehr und die Ansiedelungen der Menschen in ihrer Abhaengigkeit von der Gestaltung der Erdoberflaeche.” Dresden and Leipzig. (1841).

  9. Launhardt, W.Theorie des Trassierens. 2 volumes. Hanover. (1887–88).

  10. Marble, D. F. and Garrison, W. L. “Analysis of Highway Networks: A Linear Programming Formulation.”Highway Research Board Proceedings, No. 37 (1958), pp. 1–17.

    Google Scholar 

  11. Miehle, W. “Link-Length Minimization in Networks,”Operations Research, VI (1958), pp. 232–43.

    Google Scholar 

  12. Quandt, R. E. “Models of Transportation and Optimal Network Construction,”Journal of Regional Science, II, No. 1 (1960), pp. 27–45.

    Google Scholar 

  13. Werner, C. “Zur Geometrie von Verkehrsnetzen. Die Beziehung zwischen raeumlicher Netzgestaltung und Wirtschaftlichkeit.” Free University of Berlin: Publications of the First Department of Geography, X (1966).

  14. Werner, C. “A Systems Analysis Approach to Transportation Networks in Urban Agglomerations: The Boston-Washington Corridor Project as a Pilot Study.” Paper presented at the Research Discussions of the 1967 Athens Ekistics Months, Athens.

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Werner, C. The role of topology and geometry in optimal network design. Papers of the Regional Science Association 21, 173–189 (1968). https://doi.org/10.1007/BF01952728

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