Visual Proof: Convergence of the Two-Phase Simplex Method
Students often conflate the Simplex Method's inherent logic (improving objective) with its guaranteed finite termination. The critical distinction lies in understanding *degeneracy*. Without a specific anti-cycling rule, like Bland's Rule, the algorithm *can* theoretically cycle, re-visiting the same basic feasible solution endlessly without improving .
Institutional Reference: Linear and Integer Programming
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