How does the presence of degeneracy affect the sensitivity analysis in LP?
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In degenerate LP problems, small changes in the parameters might lead to changes in the optimal basis without changing the objective function value. This can make sensitivity analysis more complex, as multiple optimal solutions may exist, and the stability of the solution can be harder to evaluate.
Degeneracy in linear programming complicates sensitivity analysis by leading to multiple optimal solutions at a single vertex. This ambiguity makes it difficult to determine the effects of changes in objective function coefficients or constraints, posing challenges for decision-makers in interpreting results and predicting outcomes.
Degeneracy in Linear Programming complicates sensitivity analysis by leading to multiple optimal solutions. This makes it difficult to determine how changes in objective function coefficients or constraints affect the optimal solution. Small adjustments may not alter the solution, requiring careful examination to accurately interpret results and ranges for which the current solution remains optimal.