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The Generalized Transportation Problem as a Quadratic Program

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  • John M. Hartwick

    (Queen's University)

Abstract

In this paper, the author shall demonstrate that when all demands and supply schedules are either linear or are points or scalars, then the generalized transportation problem and its dual can be expressed as a primal-dual quadratic program, this latter program being due to Dorn (1960) and Mangasarian (1969). The duality theorem of Dorn (1960) provides the mathematical foundation for the existence of a solution to the linear version of the generalized transportation problem and its dual.

Suggested Citation

  • John M. Hartwick, 1971. "The Generalized Transportation Problem as a Quadratic Program," Working Paper 35, Economics Department, Queen's University.
    • Handle: RePEc:qed:wpaper:35
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    File URL: http://qed.econ.queensu.ca/working_papers/papers/qed_wp_35.pdf
    File Function: First version 1971
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    References listed on IDEAS

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    1. John M. Hartwick, 1970. "A Generalization of the Transportation Problem in Linear Programming and Spatial Price Equilibrium," Working Paper 30, Economics Department, Queen's University.
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    Cited by:

    1. John M. Hartwick, 1971. "General Spatial Price Equilibrium," Working Paper 57, Economics Department, Queen's University.

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    2. John M. Hartwick, 1971. "General Spatial Price Equilibrium," Working Paper 57, Economics Department, Queen's University.
    3. John M. Hartwick, 1970. "The Pricing of Goods and Agricultural Land in Multiregional General Equilibruim," Working Paper 31, Economics Department, Queen's University.

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