• Corpus ID: 15436175

# Online Packing and Covering Framework with Convex Objectives

@article{Buchbinder2014OnlinePA,
title={Online Packing and Covering Framework with Convex Objectives},
author={Niv Buchbinder and Shahar Chen and Anupam Gupta and Viswanath Nagarajan and Joseph Naor},
journal={ArXiv},
year={2014},
volume={abs/1412.8347}
}
• Published 29 December 2014
• Mathematics
• ArXiv
We consider online fractional covering problems with a convex objective, where the covering constraints arrive over time. Formally, we want to solve $\min\,\{f(x) \mid Ax\ge \mathbf{1},\, x\ge 0\},$ where the objective function $f:\mathbb{R}^n\rightarrow \mathbb{R}$ is convex, and the constraint matrix $A_{m\times n}$ is non-negative. The rows of $A$ arrive online over time, and we wish to maintain a feasible solution $x$ at all times while only increasing coordinates of $x$. We also consider…
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