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- W2100027738 abstract "This paper presents an algorithm that will parameterize an activity vector for a linear programming problem in the following manner. Assume that an optimum feasible basis for a parametric linear programming problem has been obtained for the low-bound value of the parameter θ, set to zero. The algorithm then determines a sequence of critical values θ 1 , …, θ k , …, θ T , where θ k ≧ θ k−1 , and a series of bases B 1 , …, B k , …, B T , in such a way that B k is optimum feasible for θ k ≦ θ ≦ θ k+1 for 1 ≦ k ≦ T − 1 and B T is either optimum feasible for all θ T ≦ θ ≦ γ or unbounded or infeasible for 0 ≦ θ − θ T ≦ ϵ, where ϵ is an arbitrarily small positive number. The essence of the algorithm consists of a series of simple transformations from one optimum feasible basis to another. The algorithm is illustrated with a numerical example." @default.
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- W2100027738 date "1971-12-01" @default.
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- W2100027738 title "Parameterizing an Activity Vector in Linear Programming" @default.
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- W2100027738 doi "https://doi.org/10.1287/opre.19.7.1632" @default.
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