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Finding equivalent transportation formulations for constrained transportation problems

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  • F. Glover
  • Darwin Klingman
  • G. Terry Ross

Abstract

This paper describes a procedure for determining if constrained transportation problems (i.e., transportation problems with additional linear constraints) can be transformed into equivalent pure transportation problems by a linear transformation involving the node constraints and the extra constraints. Our results extend procedures for problems in which the extra constraints consist of bounding certain partial sums of variables.

Suggested Citation

  • F. Glover & Darwin Klingman & G. Terry Ross, 1974. "Finding equivalent transportation formulations for constrained transportation problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 21(2), pages 247-254, June.
    • Handle: RePEc:wly:navlog:v:21:y:1974:i:2:p:247-254
    DOI: 10.1002/nav.3800210204
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    Cited by:

    1. Mohammad Ali Raayatpanah & Salman Khodayifar & Thomas Weise & Panos Pardalos, 2022. "A novel approach to subgraph selection with multiple weights on arcs," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 242-268, August.
    2. ÇalIskan, Cenk, 2011. "A specialized network simplex algorithm for the constrained maximum flow problem," European Journal of Operational Research, Elsevier, vol. 210(2), pages 137-147, April.

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