Question

Degeneracy in LP problem

30 Jun 2018
Answer :
Word Count : 334

Degeneracy in Linear Programming (LP) refers to a situation where the basic feasible solution of an LP problem has one or more variables equal to zero even though it is expected to have a non-zero value. Degeneracy can complicate the solution process and affect the efficiency of certain LP algorithms like the simplex method.

Degeneracy occurs when the constraints of an LP problem are linearly dependent or when there are multiple paths to reach the same basic feasible solution. This leads to more than one way to express the same solution, resulting in zero-valued variables. Here's a more detailed explanation of degeneracy:

1. Linear Dependence: When the constraint equations in an LP problem are linearly dependent, it means that one or more constraints can be expressed as linear combinations of

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