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If you use the largest-coefficient rule to pick the entering variable and the smallest-index rule to pick the leaving variable, then the simplex method will cycle back to this initial dictionary in just \(\sf 6 \) pivots.
In the smallest-index rule, we assume that the indices of the \(\sf x \)
variables are smaller than the indices of the \(\sf w \) variables.
In other words, ambiguities in the choice of the leaving variable are resolved according to this ordering: