The Direct Solution of the Transportation Problem with Reduced Matrices
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.
Volume (Year): 13 (1966)
Issue (Month): 1 (September)
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