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Graph Structures Underlying Submatrices of Network Flow Tableaux

Author

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  • Ronald L. Rardin

    (Georgia Institute of Technology, Atlanta, Georgia)

  • Richard E. Rosenthal

    (University of Tennessee, Knoxville, Tennessee)

Abstract

This paper analyzes the substructure of linear programming tableaux for capacitated transshipment problems. Specifically, it demonstrates that submatrices of these tableaux correspond in a precise way to certain “contractions” of the transshipment network. The results are couched within the GNET/Depth network data structure of Bradley, Brown and Graves or the predecessor/thread/distance structure of Glover, Klingman, et al. An application to fixed-charge network problems is described.

Suggested Citation

  • Ronald L. Rardin & Richard E. Rosenthal, 1979. "Graph Structures Underlying Submatrices of Network Flow Tableaux," Transportation Science, INFORMS, vol. 13(2), pages 98-112, May.
    • Handle: RePEc:inm:ortrsc:v:13:y:1979:i:2:p:98-112
    DOI: 10.1287/trsc.13.2.98
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