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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

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 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

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

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

This paper introduces a novel multi-agent ski-rental problem that generalizes the classical ski-rental dilemma to a group setting where agents incur individual and shared costs. In our model, each agent can either rent at a fixed daily…

Machine Learning · Computer Science 2025-08-15 Xuchuang Wang , Bo Sun , Hedyeh Beyhaghi , John C. S. Lui , Mohammad Hajiesmaili , Adam Wierman

In this paper, we study the two-level ski-rental problem,where a user needs to fulfill a sequence of demands for multiple items by choosing one of the three payment options: paying for the on-demand usage (i.e., rent), buying individual…

Data Structures and Algorithms · Computer Science 2024-02-13 Keyuan Zhang , Zhongdong Liu , Nakjung Choi , Bo Ji

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

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 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

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

Stochastic optimization is one of the central problems in Machine Learning and Theoretical Computer Science. In the standard model, the algorithm is given a fixed distribution known in advance. In practice though, one may acquire at a cost…

Data Structures and Algorithms · Computer Science 2023-06-07 Mingchen Ma , Christos Tzamos

We study the power of (competitive) algorithms with predictions in a multiagent setting. To this goal, we introduce a multiagent version of the ski-rental problem. In this problem agents can collaborate by pooling resources to get a group…

Computer Science and Game Theory · Computer Science 2025-07-15 Gabriel Istrate , Cosmin Bonchiş , Victor Bogdan

We revisit the classic ski rental problem through the lens of Bayesian decision-making and machine-learned predictions. While traditional algorithms minimize worst-case cost without assumptions, and recent learning-augmented approaches…

Machine Learning · Computer Science 2025-12-09 Bosun Kang , Hyejun Park , Chenglin Fan

In cloud computing, users scale their resources (computational) based on their need. There is massive literature dealing with such resource scaling algorithms. These works ignore a fundamental constrain imposed by all Cloud Service…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-01 Gourav Saha , Ramkrishna Pasumarthy

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

We study two online resource allocation problems with reusability in an adversarial setting, namely kRental-Fixed and kRental-Variable. In both problems, a decision-maker manages $k$ identical reusable units and faces a sequence of rental…

Data Structures and Algorithms · Computer Science 2025-07-30 Hossein Nekouyan , Bo Sun , Raouf Boutaba , Xiaoqi Tan

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

Energy markets with retail choice enable customers to switch energy plans among competitive retail suppliers. Despite the promising benefits of more affordable prices and better savings to customers, there appears subsided participation in…

Data Structures and Algorithms · Computer Science 2024-06-19 Jianing Zhai , Sid Chi-Kin Chau , Minghua Chen
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