Geodesic
On cycling in the simplex method of the transportation problem
W/lodzimierz Szwarc 1
1 School of Business Administration University of Wisconsin-Milwaukee Milwaukee, WI 53201, U.S.A.
Applicationes Mathematicae, Tome 36 (2009) no. 1, pp. 59-73 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper shows that cycling of the simplex method for the $m\times n$ transportation problem where $k-1$ zero basic variables are leaving and reentering the basis does not occur once it does not occur in the $k\times k$ assignment problem. A method to disprove cycling for a particular $k$ is applied for $k=2,3,4,5$ and $6$.
DOI : 10.4064/am36-1-5
Keywords: paper shows cycling simplex method times transportation problem where k zero basic variables leaving reentering basis does occur once does occur times assignment problem method disprove cycling particular applied

W/lodzimierz Szwarc  1

1 School of Business Administration University of Wisconsin-Milwaukee Milwaukee, WI 53201, U.S.A. 
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W/lodzimierz Szwarc. On cycling in the simplex method of
 the transportation problem. Applicationes Mathematicae, Tome 36 (2009) no. 1, pp. 59-73. doi: 10.4064/am36-1-5

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