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Agenda of Week VII. LP V LP Application 2 Time assignment Beggar family LINGO illustration Understanding LP LP interpretation Week 6 1 LP Sensitivity Analysis.

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Presentation on theme: "Agenda of Week VII. LP V LP Application 2 Time assignment Beggar family LINGO illustration Understanding LP LP interpretation Week 6 1 LP Sensitivity Analysis."— Presentation transcript:

1 Agenda of Week VII. LP V LP Application 2 Time assignment Beggar family LINGO illustration Understanding LP LP interpretation Week 6 1 LP Sensitivity Analysis 3 Contribution coefficients RHS Examples

2 Week 6 Review Understanding LP LP Interpretation 1 Objective function Decision variables Slack and surplus Shadow price Shadow cost

3 Beggar Family Problem Maximization of Income from Collecting by Adjusting the Frequency of Collecting Activities by 3 Sons

4 Beggar Family Problem Global optimal solution found. Objective value: Total solver iterations: 2 Variable Value Reduced Cost F S T Row Slack or Surplus Dual Price OBJECTIVE T-money Lunchbox

5 Time Assignment Problem

6 Global optimal solution found. Objective value: Total solver iterations: 2 Variable Value Reduced Cost S D A E G Row Slack or Surplus Dual Price TIME UTILITY

7 Lingo Illustration o Beggar family problem Solving and interpretation o Time assignment problem Solving and interpretation

8 LP Sensitivity Analysis o Objective Coefficient Ranges Interval of contribution coefficients changeable keeping current structure of optimal solution o Right-hand Side Ranges Interval of RHS changeable keeping current structure of optimal solution

9 Beggar Family: Sensitivity Analysis Ranges in which the basis is unchanged: Objective Coefficient Ranges Current Allowable Allowable Variable Coefficient Increase Decrease F S INFINITY T Righthand Side Ranges Row Current Allowable Allowable RHS Increase Decrease POTATO TOKEN

10 Time Assignment: Sensitivity Analysis Ranges in which the basis is unchanged: Objective Coefficient Ranges Current Allowable Allowable Variable Coefficient Increase Decrease S INFINITY D A INFINITY E INFINITY 0.0 G INFINITY Righthand Side Ranges Row Current Allowable Allowable RHS Increase Decrease TIME UTILITY


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