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 transcript:

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

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

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

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

Time Assignment Problem

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

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

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

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

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