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Letter to the Editor---Locating Stepping-Stone Paths in Distribution Problems Via the Predecessor Index Method

Fred Glover and D. Klingman
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Fred Glover: The University of Texas at Austin, Austin, Texas
D. Klingman: The University of Texas at Austin, Austin, Texas

Transportation Science, 1970, vol. 4, issue 2, 220-225

Abstract: This paper presents an explicit procedure for finding improving cycles or paths in the distribution model. The procedure developed may be incorporated in the row-column sum method. When this is done, both the row and column numbers and the predecessor index numbers may be determined simultaneously, a fact which contributes to the rapidity of the method. The chief difference between our method and other labeling procedures derives from the fact that the ordinary procedures are implemented in a “dual” framework and are concerned with identifying a flow augmenting path that maintains dual feasibility.

Date: 1970
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