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The Direct Solution of the Transportation Problem with Reduced Matrices

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  • Paul S. Dwyer

    (The University of Michigan)

Abstract

A discussion of the importance of a direct method in obtaining all the solutions of a transportation problem, and in obtaining solutions of more general problems, is followed by a discussion of methods of reduced matrices in which the transportation matrix is reduced, by a series of subtractions from rows and columns, to a transformed matrix to which the orthogonality condition is applicable. The direct method proceeds in a series of simple steps to the determination of zero terms having associated x ij values which eventually satisfy the row and column equations. Formal and informal versions are presented and application is made to several general problems.

Suggested Citation

  • Paul S. Dwyer, 1966. "The Direct Solution of the Transportation Problem with Reduced Matrices," Management Science, INFORMS, vol. 13(1), pages 77-96, September.
  • Handle: RePEc:inm:ormnsc:v:13:y:1966:i:1:p:77-96
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    File URL: http://dx.doi.org/10.1287/mnsc.13.1.77
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