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									Chapter 2:
Modeling with Linear Programming &
sensitivity analysis [extra]


                  Hamdy A. Taha, Operations Research: An
                  introduction, 8th Edition




                                                           1
Mjdah Al Shehri
       Models Without Unique Optimal
                 Solutions

• 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
    Infeasible Model


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




      3                  1
Unbounded solution
                     

								
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