The classic utility maximization framework studies the fairnessefficiency tradeoff in various resource allocation problems (e.g., bandwidth allocation). The weighted alpha-fair utility is a common utilitarian metric. However, this classic framework cannot tackle those allocation problems with the online decision-making requirement (e.g., caching capacity allocation under unknown requests). Existing studies on these online allocation problems largely follow the online learning approaches, thus

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... evitably overlook the allocation fairness. In this paper, we propose a novel utility maximization framework accommodating the online setting. The major challenge of designing this framework lies in the tight coupling between the desirable fairness guarantee and the unknown allocation efficiency. To tackle this, we integrate the weighted alpha-fair utility with the learning rationale, by properly devising the merit-based weights and the increasing fairness levels. Under our proposed framework, the utility-maximizing allocation in each time slot is weighted alpha-fair. Our framework also performs asymptotically as well as the offline optimal/efficient outcome. We demonstrate how this framework functions in two networking applications. In size-based scheduling, it enables network switches to prioritize short flows and avoid flow starvation without the prior flow size information. In file caching, our framework outperforms several state-of-the-art caching policies up to 21% in terms of cache-hit-ratio. CCS CONCEPTS • Theory of computation → Online learning theory.