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arXiv · 1811.12429

Ameso Optimization: a Relaxation of Discrete Midpoint Convexity

Wen Chen·Odysseas Kanavetas·Michael N. Katehakis
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Abstract

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.

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Wen Chen, Odysseas Kanavetas, Michael N. Katehakis. 2018-11-29. Ameso Optimization: a Relaxation of Discrete Midpoint Convexity. https://arxiv.org/abs/1811.12429

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