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Robust balanced optimization

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An instance of a balanced optimization problem with vector costs consists of a ground set X. a cost-vector for every element of X. and a system of feasible subsets over X. The goal is to find a feasible subset that minimizes the so-called imbalance of values in every coordinate of the underlying vector costs. https://www.roneverhart.com/BenQ-Zowie-XL2546X-24-5-FHD-Fast-TN-Gaming-Monitor-240Hz-DyAc-2-Technology-Dual-Backlight-Design-Auto-Game-Mode-HDMI-/
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