🗊Презентация Parametric Linear Programming

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Parametric Linear Programming, слайд №1Parametric Linear Programming, слайд №2Parametric Linear Programming, слайд №3Parametric Linear Programming, слайд №4Parametric Linear Programming, слайд №5Parametric Linear Programming, слайд №6Parametric Linear Programming, слайд №7Parametric Linear Programming, слайд №8Parametric Linear Programming, слайд №9Parametric Linear Programming, слайд №10Parametric Linear Programming, слайд №11Parametric Linear Programming, слайд №12Parametric Linear Programming, слайд №13
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Слайды и текст этой презентации

Слайд 1


Parametric Linear Programming
Описание слайда:
Parametric Linear Programming

Слайд 2


Systematic Changes in cj Objective function is replaced by Find the optimal solution as a function of θ
Описание слайда:
Systematic Changes in cj Objective function is replaced by Find the optimal solution as a function of θ

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Example: Wyndor Glass Problem Z(θ) = (3 + 2θ) x1+(5 - θ) x2
Описание слайда:
Example: Wyndor Glass Problem Z(θ) = (3 + 2θ) x1+(5 - θ) x2

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Example: Wyndor Glass Problem
Описание слайда:
Example: Wyndor Glass Problem

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Example: Wyndor Glass Problem
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Example: Wyndor Glass Problem

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Example: Wyndor Glass Problem
Описание слайда:
Example: Wyndor Glass Problem

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Procedure Summary for Systematic Changes in cj 1. Solve the problem with θ = 0 by the simplex method. Use the sensitivity analysis procedure to introduce the Δcj = αjθ changes into Eq.(0). Increase θ until one of the nonbasic variables has its coefficient in Eq.(0) go negative (or until θ has been increased as far as desired). Use this variable as the entering basic variable for an iteration of the simplex method to find the new optimal solution. Return to Step 3.
Описание слайда:
Procedure Summary for Systematic Changes in cj 1. Solve the problem with θ = 0 by the simplex method. Use the sensitivity analysis procedure to introduce the Δcj = αjθ changes into Eq.(0). Increase θ until one of the nonbasic variables has its coefficient in Eq.(0) go negative (or until θ has been increased as far as desired). Use this variable as the entering basic variable for an iteration of the simplex method to find the new optimal solution. Return to Step 3.

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Systematic Changes in bi Constraints are replaced by Find the optimal solution as a function of θ
Описание слайда:
Systematic Changes in bi Constraints are replaced by Find the optimal solution as a function of θ

Слайд 9


Example: Wyndor Glass Problem y1 + 3y3 ≥ 3 + 2θ 2y2 + 2y3 ≥ 5 - θ
Описание слайда:
Example: Wyndor Glass Problem y1 + 3y3 ≥ 3 + 2θ 2y2 + 2y3 ≥ 5 - θ

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Example: Wyndor Glass Problem
Описание слайда:
Example: Wyndor Glass Problem

Слайд 11


Example: Wyndor Glass Problem
Описание слайда:
Example: Wyndor Glass Problem

Слайд 12


Example: Wyndor Glass Problem
Описание слайда:
Example: Wyndor Glass Problem

Слайд 13


Procedure Summary for Systematic Changes in bi 1. Solve the problem with θ = 0 by the simplex method. Use the sensitivity analysis procedure to introduce the Δbi = αiθ changes to the right side column. Increase θ until one of the basic variables has its value in the right side column go negative (or until θ has been increased as far as desired). Use this variable as the leaving basic variable for an iteration of the dual simplex method to find the new optimal solution. Return to Step 3.
Описание слайда:
Procedure Summary for Systematic Changes in bi 1. Solve the problem with θ = 0 by the simplex method. Use the sensitivity analysis procedure to introduce the Δbi = αiθ changes to the right side column. Increase θ until one of the basic variables has its value in the right side column go negative (or until θ has been increased as far as desired). Use this variable as the leaving basic variable for an iteration of the dual simplex method to find the new optimal solution. Return to Step 3.

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