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On cycling in the simplex method of the Transportation Problem


  • SZWARC, Wlodzimierz

    (University of Wisconsin-Milwaukee)


This paper shows that cycling of the simplex method for the m×n Transportation Problem where k-1 zero basic variables are leaving and reentering the basis does not occur once it does not occur in the k×k Assignment Problem. A method to disprove cycling for a particular k is applied for k=2,3,34,5 and 6.

Suggested Citation

  • SZWARC, Wlodzimierz, 2008. "On cycling in the simplex method of the Transportation Problem," CORE Discussion Papers 2008003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2008003

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    Transportation Problem; Assignment Problem; cycling; basic solution; node; link; directed weighted tree.;

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