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Primal-Dual Algorithm

Primal-Dual Algorithm

Primal-Dual Algorithm. Self-reducibility. Incremental. Dynamic Program. Primal. Primal-Dual. Divide-and-Conquer. Local Ratio. Greedy. Primal-Dual. An optimality condition comes from the primal-dual theorem e.g., max-flow=min-cut .

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778 views • 70 slides
CS6234: Lecture 4

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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741 views • 65 slides
CS6234: Lecture 4

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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654 views • 65 slides
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?????? ( ? ). Chapter 3 Linear Programming Methods (II). When the original model contains "greater than or equal to" inequalities or equations, a BFS is not immediately available.

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509 views • 50 slides
Outline

Outline

Outline. relationship among topics secrets LP with upper bounds by Simplex method basic feasible solution ( BFS ) by Simplex method for bounded variables extended basic feasible solution ( EBFS ) optimality conditions for bounded variables ideas of the proof examples

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611 views • 42 slides
15.082J and 6.855J and ESD.78J

15.082J and 6.855J and ESD.78J

15.082J and 6.855J and ESD.78J. The Successive Shortest Path Algorithm and the Capacity Scaling Algorithm for the Minimum Cost Flow Problem. Overview of lecture. Quick review of min cost flow and optimality conditions Pseudoflows The successive shortest path algorithm

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355 views • 35 slides
Chap 10. Sensitivity Analysis

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. Objective of study:

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154 views • 13 slides
Chap 9. General LP problems: Duality and Infeasibility

Chap 9. General LP problems: Duality and Infeasibility

Chap 9. General LP problems: Duality and Infeasibility. Extend the duality theory to more general form of LP Consider the following form of LP. subject to. (1). (2). Want to define dual problem for this LP so that dual objective value gives upper bound on the primal optimal value.

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785 views • 11 slides
Chap 10. Sensitivity Analysis

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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1.11k views • 10 slides

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