On Some Optimization Problems that Can Be Solved in O(n) Time
Yanqin Bai (Shanghai University)
Kees Roos (TU Delft - Discrete Mathematics and Optimization)
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Abstract
We consider nine elementary problems in optimization. We simply explore the conditions for optimality as known from the duality theory for convex optimization. This yields a quite straightforward solution method for each of these problems. The main contribution of this paper is that we show that even in the harder cases the solution needs only O(n) time.