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Regional investment and interregional programming

  • Regional and Interregional Analysis
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Papers of the Regional Science Association

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References

  1. Also called the Hitchcock-Koopmans problem. George B. Dantzig,Linear Programming and Extensions (Princeton: Princeton University Press, 1963), pp. 299–300.

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  2. Inputs of a given kind, when shipped into a producing region, are assumed to be of equal quality. Hence, for purposes of defining input-output coefficients, we need not keep track of the input source. Leon N. Moses, “A General Equilibrium Model of Production, Interregional Trade, and Location of Industry,”The Review of Economics and Statistics, XLII, No. 4, Nov. 1960, p. 373–96.

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  3. Benjamin Stevens, “An Interregional Linear Programming Model,”Journal of Regional Science, I, Summer, 1958.

  4. R. Dorfman, P. Samuelson and R. Solow,Linear Programming and Economic Analysis (New York: McGraw-Hill Book Co., Inc., 1958), pp. 453–59.

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  5. Benjamin Stevens, “Linear Programming and Location Rent,” Journal of Regional Science, III, No. 2, Winter, 1961, pp. 15–27.

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  6. The derivation of equation (7) appears in the Appendix.

  7. Vernon Smith,Investment and Production (Cambridge: Harvard University Press, 1961).

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  8. Richard Quandt, “Models of Transportation and Optimal Network Construction,”Journal of Regional Science, II, No. 1, Spring, 1960, pp. 27–45.

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  9. Discussions of parametric programming appear in many books on linear programming. For example, see G. Hadley,Linear Programming, (Reading, Massachusetts: Addision-Wesley Publishing Co., Inc., 1962), pp. 380–84.

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  10. A more general and more elegant derivation may be found in Harlan D. Mills, “Marginal Values of Matrix Games and Linear Programs,” in H. W. Kuhn and A. W. Tucker, eds.Linear Inequalities and Related Systems, Annals of Mathematics Studies 38, (Princeton, 1956).

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Authors and Affiliations

  1. Northwestern University, Evanston, Illinois

    Arthur P. Hurter Jr. & Leon N. Moses

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  1. Arthur P. Hurter Jr.
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  2. Leon N. Moses
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Hurter, A.P., Moses, L.N. Regional investment and interregional programming. Papers of the Regional Science Association 13, 104–119 (1964). https://doi.org/10.1007/BF01942563

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