oai:arXiv.org:2410.15257
Computer Science
2024
23-10-2024
In this paper, we study learning-augmented algorithms for the Bahncard problem.
The Bahncard problem is a generalization of the ski-rental problem, where a traveler needs to irrevocably and repeatedly decide between a cheap short-term solution and an expensive long-term one with an unknown future.
Even though the problem is canonical, only a primal-dual-based learning-augmented algorithm was explicitly designed for it.
We develop a new learning-augmented algorithm, named PFSUM, that incorporates both history and short-term future to improve online decision making.
We derive the competitive ratio of PFSUM as a function of the prediction error and conduct extensive experiments to show that PFSUM outperforms the primal-dual-based algorithm.
;Comment: This paper has been accepted by the 38th Conference on Neural Information Processing Systems (NeurIPS 2024)
Zhao, Hailiang,Tang, Xueyan,Chen, Peng,Deng, Shuiguang, 2024, Learning-Augmented Algorithms for the Bahncard Problem