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. The method is also self-initiating. It uses itself eitherto generate an appropriate feasible solution, as required, to start the method, or to show that the problem hasno feasible solution.
2.1 Simplex Method—A Preview 39 3. The righthand-side coefficients are all nonnegative. 4. One decision variable is isolated in each constraint with a +1 coefficient ( x1 in constraint (1) and x2 in constraint (2)).
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