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Paper detail

Ameso Optimization: a Relaxation of Discrete Midpoint Convexity

In this paper we introduce the Ameso optimization problem, a special class of discrete optimization problems. We establish its basic properties and investigate the relation between Ameso optimization and the convex optimization. Further, we design an algorithm to solve a multi-dimensional Ameso problem by solving a sequence of one-dimensional Ameso problems. Finally, we demonstrate how the knapsack problem can be solved using the Ameso optimization framework.

preprint2020arXivOpen access
Wen ChenOdysseas KanavetasMichael N. Katehakis
math.OC
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Wen ChenOdysseas KanavetasMichael N. Katehakis

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