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Comment on a paper by M.C. Cheng
Authors:L. Brosius
Affiliation:(1) U.F.S.I.A., University of Antwerp, Belgium
Abstract:In a recent paper M.C. Cheng proposed new criteria for the simplex algorithm which guarantee that (i) a nonbasic variable of a basic feasible solution will remain nonbasic in an optimal basic solution, (ii) a basic variable of a basic solution will remain basic in an optimal basic solution. This comment gives (i) a slight generalization of the first result and (ii) a counterexample to the second proposition.
Keywords:Primal Feasible Basis  Dual Feasible Basis  Basic Variable  Nonbasic Variable  Optimal Basic Solution
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