1Degeneracy in Linear ProgrammingTim, the turkeyI heard that today’s tutorial is all about Ellen DeGeneresEllen DeGeneresSorry, Tim. But the topic is just as interesting. It’s about degeneracy in Linear Programming.Degeneracy? Students at MIT shouldn’t learn about degeneracy. And I heard that 15.053 students have already studied convicts’ sex. Reverend Jerry FalwellActually, they studied convex sets.
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2What is degeneracy?•As you know, the simplex algorithm starts at a corner point and moves to an adjacent corner point by increasing the value of a non-basic variable xswith a negative value in the z-row (objective function).•Typically, the entering variable xsdoes increase in value, and the objective value z improves. But it is possible that that xsdoes not increase at all. It will happen when one of the RHS coefficients is 0.•In this case, the objective value and solution does not change, but there is an exiting variable. This situation is called degeneracy. x1