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Two False Endings to the Modified Assignment Problem: A Solution

Author

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  • Rick Hesse

    (Visiting Professor of Management Science, United States Military Academy, West Point, New York 10996)

Abstract

Dr. Bharath brings to light a point raised also in personal correspondence by Dieter Klein, Worcester Polytechnic Institute in the fall of 1980 about Stern's modification of the assignment algorithm to solve the transportation problem which resurfaces in Hesse/Woolsey. The condition described is indeed necessary but not sufficient and is analogous to a regular assignment problem having zeros in every row and column but still without a zero-cost allocation. In the modified method, when this happens, lines must be drawn again such that the total of the supplies and demands lined out are strictly less than the total supply (or demand).

Suggested Citation

  • Rick Hesse, 1982. "Two False Endings to the Modified Assignment Problem: A Solution," Interfaces, INFORMS, vol. 12(4), pages 69-71, August.
    • Handle: RePEc:inm:orinte:v:12:y:1982:i:4:p:69-71
    DOI: 10.1287/inte.12.4.69
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