operation research

1. Mjdah Al Shehri
Hamdy A. Taha, Operations Research: An
introduction, 8th
Edition
Chapter 2:
Modeling with Linear Programming &
sensitivity analysis [extra]
1

2. • Infeasibility: Occurs when a model has no feasible point.
• Unboundness: Occurs when the objective can become
infinitely large (max), or infinitely small (min).
• Alternate solution: Occurs when more than one point
optimizes the objective function
Models Without Unique OptimalModels Without Unique Optimal
SolutionsSolutions

3. 1
No point, simultaneously,
lies both above line and
below lines and
.
1
2 3
2
3
Infeasible Model

4. Unbounded solution
The feasible
region
Maximize
the Objective Function
∞