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You only get a cycle if multiple vertices have the same objective function value. There's a similar problem of degeneracy, where you pivot back and forth betwe
by sevensor 10y ago
You only get a cycle if multiple vertices have the same objective function value. There's a similar problem of degeneracy, where you pivot back and forth between binding constraints on the same vertex and never go anywhere.
- bernardom 10y agoAnd a way to avoid cycles in simplex is known: https://en.wikipedia.org/wiki/Bland%27s_rule https://en.wikipedia.org/wiki/Bland%27s_rule