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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}…

计算机科学与博弈论 · 计算机科学 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…

机器学习 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

机器学习 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

机器学习 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

机器学习 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

机器学习 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

计算机科学与博弈论 · 计算机科学 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…

机器学习 · 计算机科学 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…

分布式、并行与集群计算 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

数据结构与算法 · 计算机科学 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…

数据结构与算法 · 计算机科学 2024-06-19 Jianing Zhai , Sid Chi-Kin Chau , Minghua Chen
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