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Combinatorial Programming and the Planning of Urban and Regional Systems

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  • A.J. Scott

    (Department of Geography, University of Toronto, Toronto Received 28 August 1969)

Abstract

This paper reviews and evaluates some of the major recent developments in combinatorial programming. General solution procedures are discussed. A variety of planning applications is then examined. These applications are initially categorized as either (a) network or graph-theoretic problems, or (b) grouping and partitioning problems. The role of these various methods and applications in the planning of urban and regional systems is then critically assessed.

Suggested Citation

  • A.J. Scott, 1969. "Combinatorial Programming and the Planning of Urban and Regional Systems," Environment and Planning A, , vol. 1(2), pages 125-142, December.
  • Handle: RePEc:sae:envira:v:1:y:1969:i:2:p:125-142
    DOI: 10.1068/a010125
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    References listed on IDEAS

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    1. J. Heller, 1960. "Some Numerical Experiments for an M × J Flow Shop and its Decision-Theoretical Aspects," Operations Research, INFORMS, vol. 8(2), pages 178-184, April.
    2. D. A. D'Esopo & B. Lefkowitz, 1964. "Note on an integer linear programming model for determining a minimum embarkation fleet," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 11(1), pages 79-82, March.
    3. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    4. Christopher E. Nugent & Thomas E. Vollmann & John Ruml, 1968. "An Experimental Comparison of Techniques for the Assignment of Facilities to Locations," Operations Research, INFORMS, vol. 16(1), pages 150-173, February.
    5. P. C. Gilmore & R. E. Gomory, 1964. "Sequencing a One State-Variable Machine: A Solvable Case of the Traveling Salesman Problem," Operations Research, INFORMS, vol. 12(5), pages 655-679, October.
    6. Thomas Vietorisz, 1964. "Industrial Development Planning Models With Economies Of Scale And Indivisibilities," Papers in Regional Science, Wiley Blackwell, vol. 12(1), pages 157-192, January.
    7. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
    8. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
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    1. Waardenburg, J. George, 1970. "Economic Planning for Regions Within Countries: Purposes, Methods, Difficulties, and Results," 1970 Conference, August 23-September 2, 1970, Minsk, U.S.S.R. 209802, International Association of Agricultural Economists.

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