Transcription of Solving Linear Programs 2 - MIT
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Solving Linear Programs 2 - MIT
Solving Linear Programs2In this chapter, we present a systematic procedure for Solving Linear Programs . This procedure, called thesimplex method,proceeds by moving from one feasible solution to another, at each step improving the valueof the objective function. Moreover, the method terminates after a finite number of such characteristics of the simplex method have led to its widespread acceptance as a computational , the method is robust. It solvesanylinear program; it detects redundant constraints in the problemformulation; it identifies instances when the objective value is unbounded over the feasible region; and itsolves problems with one or more optimal solutions.
40 Solving Linear Programs 2.1 No matter how large t becomes, x1 and x2 remain nonnegative. In fact, as t approaches +∞,z approaches +∞. In this case, the objective function is unbounded over the feasible region. The same argument applies to any linear program and provides the: Unboundedness Criterion.
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