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Complexity of the simplex algorithm
What is the upper bound on the simplex algorithm for finding a solution to a Linear Program? How would I go about finding a proof for such a case? It seems as though the worst case is if each vertex has to be visited that is it $O(2^n)$. However in practice the simplex algorithm will run significantly faster than this for more standard problems. How can I reason about the average complexity of a problem being solved using this method? Any information or references are greatly appreciated!
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