4120_lecture-10-F10 - Computational Methods for Management...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Computational Methods for Management and Economics Carla Gomes Lecture 10 Reading: 4.1-4.3 of textbook
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Outline Simplex: algebraic procedure By hand Using IOR Java applet (CD textbook)
Background image of page 2
Corner Point Solutions Corner-point feasible solution – special solution that plays a key role when the simplex method searches for an optimal solution. Relationship between optimal solutions and CPF solutions: Any LP with feasible solutions and bounded feasible region (1) the problem must possess CPF solutions and at least one optimal solution (2) the best CPF solution must be an optimal solution Ι f the problem has exactly one optimal solution it must be a CFP solution If the problem has multiple optimal solutions, at least two must be CPF solutions
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Geometric View Point of Simplex Method Iterative procedure involving the following steps: 1. Initialization – find initial CPF solution Whenever possible pick (0,0) as initial solution 1. Optimality test (check value of Z of adjacent CPF solutions) 1. Iteration – find a better CPF solution; go to 2. 1. Consider edges that emanate from current CPF solution and pick the one that increases Z at a faster rate 2. Stop at the first new constraint boundary
Background image of page 4
Wyndor Glass   0 2 4 6 8 8 6 4 2 Production rate for windows Production rate for doors Feasible region (2, 6) Optimal solution 10 W D P = 3600 = 300D + 500W P = 3000 = 300D + 500W P = 1500 = 300D + 500W
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 18

4120_lecture-10-F10 - Computational Methods for Management...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online