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Solving Linear Programming Problems: The Simplex Method

Solving Linear Programming Problems: The Simplex Method

Chapter 4. Solving Linear Programming Problems: The Simplex Method. 4.1 The Essence of the Simplex Method. Algebraic procedure Underlying concepts are geometric Revisit Wyndor example Figure 4.1 shows constraint boundary lines Points of intersection are corner-point solutions

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912 views • 67 slides
Solving Linear Programs: The Simplex Method

Solving Linear Programs: The Simplex Method

Solving Linear Programs: The Simplex Method. The Essence. Simplex method is an algebraic procedure However, its underlying concepts are geometric Understanding these geometric concepts helps before going into their algebraic equivalents. Constraint boundaries Feasible region

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869 views • 45 slides
The Simplex Method

The Simplex Method

The Simplex Method. Maximize. Subject to. and. From a geometric viewpoint. : CPF solutions (Corner-Point Feasible) : Corner-point infeasible solutions. 8. 6. 4. Feasible region. 2. 0 2 4 6 8 10. Optimality test:

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539 views • 35 slides
The Theory of the Simplex Method

The Theory of the Simplex Method

The Theory of the Simplex Method. The Essence. Simplex method is an algebraic procedure However, its underlying concepts are geometric Understanding these geometric concepts helps before going into their algebraic equivalents

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340 views • 22 slides
Introduction to Operations Research

Introduction to Operations Research

Foundation of the Simplex Method. Introduction to Operations Research. Constraints Boundary Equations Graphical approach is very limited based on number of variables. The simplex method overcomes this obstacle Optimal solutions are on the boundaries of the feasible region.

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362 views • 16 slides
Introduction to Operations Research

Introduction to Operations Research

Simplex Method Initial Set Up. Introduction to Operations Research. Wyndor Glass Co. Example. Corner Point solutions represent all points of intersection Maximize Z = 3x 1 + 5x 2 Subject to: x 1 ? 4 2x 2 ? 12 3x 1 + 2x 2 ? 18 x 1 ? 0, x 2 ? 0. Wyndor Glass Co.

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243 views • 10 slides
Introduction to Operations Research

Introduction to Operations Research

Simplex Method Initial Set Up. Introduction to Operations Research. Wyndor Glass Co. Example. Corner Point solutions represent all points of intersection Maximize Z = 3x 1 + 5x 2 Subject to: x 1 ? 4 2x 2 ? 12 3x 1 + 2x 2 ? 18 x 1 ? 0, x 2 ? 0. Wyndor Glass Co.

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246 views • 10 slides

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