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In this paper, we present improved learning-augmented algorithms for the multi-option ski rental problem. Learning-augmented algorithms take ML predictions as an added part of the input and incorporates these predictions in solving the…

Data Structures and Algorithms · Computer Science 2023-02-15 Yongho Shin , Changyeol Lee , Gukryeol Lee , Hyung-Chan An

We study the problem of augmenting online algorithms with machine learned (ML) advice. In particular, we consider the \emph{multi-shop ski rental} (MSSR) problem, which is a generalization of the classical ski rental problem. In MSSR, each…

Data Structures and Algorithms · Computer Science 2020-10-26 Shufan Wang , Jian Li , Shiqiang Wang

The learning-augmented multi-option ski rental problem generalizes the classical ski rental problem in two ways: the algorithm is provided with a prediction on the number of days we can ski, and the ski rental options now come with a…

Data Structures and Algorithms · Computer Science 2023-12-06 Yongho Shin , Changyeol Lee , Hyung-Chan An

The classical 'buy or rent' ski-rental problem was recently considered in the setting where multiple experts (such as Machine Learning algorithms) advice on the length of the ski season. Here, robust algorithms were developed with improved…

Machine Learning · Computer Science 2021-04-22 Anant Shah , Arun Rajkumar

We study the online problem of minimizing power consumption in systems with multiple power-saving states. During idle periods of unknown lengths, an algorithm has to choose between power-saving states of different energy consumption and…

Data Structures and Algorithms · Computer Science 2021-10-26 Antonios Antoniadis , Christian Coester , Marek Eliáš , Adam Polak , Bertrand Simon

In the Multislope Ski Rental problem, the user needs a certain resource for some unknown period of time. To use the resource, the user must subscribe to one of several options, each of which consists of a one-time setup cost (``buying…

Data Structures and Algorithms · Computer Science 2008-02-21 Zvi Lotker , Boaz Patt-Shamir , Dror Rawitz

We consider the {\em multi-shop ski rental} problem. This problem generalizes the classic ski rental problem to a multi-shop setting, in which each shop has different prices for renting and purchasing a pair of skis, and a \emph{consumer}…

Computer Science and Game Theory · Computer Science 2014-04-11 Lingqing Ai , Xian Wu , Lingxiao Huang , Longbo Huang , Pingzhong Tang , Jian Li

We study the problem of improving the performance of online algorithms by incorporating machine-learned predictions. The goal is to design algorithms that are both consistent and robust, meaning that the algorithm performs well when…

Machine Learning · Computer Science 2020-10-23 Alexander Wei , Fred Zhang

In this work we study the problem of using machine-learned predictions to improve the performance of online algorithms. We consider two classical problems, ski rental and non-clairvoyant job scheduling, and obtain new online algorithms that…

Data Structures and Algorithms · Computer Science 2024-07-26 Ravi Kumar , Manish Purohit , Zoya Svitkina

We consider a variant of the classic Ski Rental online algorithm with applications to machine learning. In our variant, we allow the skier access to a black-box machine-learning algorithm that provides an estimate of the probability that…

Machine Learning · Computer Science 2019-03-14 Rohan Kodialam

The emerging field of learning-augmented online algorithms uses ML techniques to predict future input parameters and thereby improve the performance of online algorithms. Since these parameters are, in general, real-valued functions, a…

Machine Learning · Computer Science 2022-05-26 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

The ski rental problem is a canonical model for online decision-making under uncertainty, capturing the fundamental trade-off between repeated rental costs and a one-time purchase. While classical algorithms focus on worst-case competitive…

Machine Learning · Computer Science 2026-04-01 Jihwan Kim , Chenglin Fan

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…

Machine Learning · Computer Science 2024-10-22 Hailiang Zhao , Xueyan Tang , Peng Chen , Shuiguang Deng

We study the optimal solution to a general two-slope ski rental problem with a tail risk, i.e., the chance of the competitive ratio exceeding a value $\gamma$ is bounded by $\delta$. This extends the recent study of tail bounds for ski…

Data Structures and Algorithms · Computer Science 2025-08-14 Qiming Cui , Michael Dinitz

The classical ski-rental problem admits a textbook 2-competitive deterministic algorithm, and a simple randomized algorithm that is $\frac{e}{e-1}$-competitive in expectation. The randomized algorithm, while optimal in expectation, has a…

Data Structures and Algorithms · Computer Science 2023-08-10 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

We initiate the systematic study of decision-theoretic metrics in the design and analysis of algorithms with machine-learned predictions. We introduce approaches based on both deterministic measures such as distance-based evaluation, that…

Data Structures and Algorithms · Computer Science 2025-09-16 Spyros Angelopoulos , Christoph Dürr , Georgii Melidi

The field of algorithms with predictions incorporates machine learning advice in the design of online algorithms to improve real-world performance. A central consideration is the extent to which predictions can be trusted -- while existing…

Machine Learning · Statistics 2026-03-26 Judy Hanwen Shen , Ellen Vitercik , Anders Wikum

Online optimization of resource management for large-scale data centers and infrastructures to meet dynamic capacity reservation demands and various practical constraints (e.g., feasibility and robustness) is a very challenging problem.…

Networking and Internet Architecture · Computer Science 2024-10-18 Chang-Lin Chen , Hanhan Zhou , Jiayu Chen , Mohammad Pedramfar , Tian Lan , Zheqing Zhu , Chi Zhou , Pol Mauri Ruiz , Neeraj Kumar , Hongbo Dong , Vaneet Aggarwal

We study the design of risk-sensitive online algorithms, in which risk measures are used in the competitive analysis of randomized online algorithms. We introduce the CVaR$_\delta$-competitive ratio ($\delta$-CR) using the conditional…

Data Structures and Algorithms · Computer Science 2024-05-28 Nicolas Christianson , Bo Sun , Steven Low , Adam Wierman

We revisit the central online problem of ski rental in the "algorithms with predictions" framework from the point of view of distributional predictions. Ski rental was one of the first problems to be studied with predictions, where a…

Machine Learning · Computer Science 2026-02-25 Qiming Cui , Michael Dinitz
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