The Direct Solution of the Transportation Problem with Reduced Matrices

Paul S. Dwyer
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Paul S. Dwyer: The University of Michigan

Management Science, 1966, vol. 13, issue 1, 77-96

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.

Date: 1966
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:13:y:1966:i:1:p:77-96

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