'Dual feasible solution' presentation slideshows

CS6234: Lecture 4

CS6234: Lecture 4. Linear Programming LP and Simplex Algorithm [PS82]-Ch2 Duality [PS82]-Ch3 Primal-Dual Algorithm [PS82]-Ch5 Additional topics: Reading/Presentation by students. Lecture notes adapted from Comb Opt course by Jorisk, Math Dept, Maashricht Univ,.

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CS6234: Lecture 4

CS6234: Lecture 4. Linear Programming LP and Simplex Algorithm [PS82]-Ch2 Duality [PS82]-Ch3 Primal-Dual Algorithm [PS82]-Ch5 Additional topics: Reading/Presentation by students. Lecture notes adapted from Comb Opt course by Jorisk, Math Dept, Maashricht Univ,.

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Duality for linear programming

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Chap 10. Sensitivity Analysis

Chap 10. Sensitivity Analysis. We do not follow the text here. We study the dual simplex method in a little bit different way from the text. Dual simplex method Note that, when we solve the LP by the simplex method, the current tableau (dictionary) can be identified if we know the basis.

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(1) (P) has a finite optimal solution. ? (D) has a finite optimal solution.

Theorem:. (1) (P) has a finite optimal solution. ? (D) has a finite optimal solution. (2) (P) has unbounded solutions. ? (D) has no feasible solution. (3) (P) has no feasible solution. ? Either (D) has no feasible solution or (D) has unbounded solutions. Proof:.

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