Review set

Degenerate corners and their bases

The questions ask you to spot a degenerate solution from its components and to say what follows for an algorithm walking between corners. The count is quick to recall; telling degeneracy from multiple optima, and reading a tie in the ratio test as a warning, is what needs practice.

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What this covers

  • Recognise a degenerate basic feasible solution

    Given a basic feasible solution, the learner can decide whether it is degenerate, explain the condition both as a count of positive components and as a surplus of active constraints, identify how many bases may describe the point, and state what degeneracy implies for a simplex iteration.

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