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Online Contention Resolution Schemes (OCRS's) represent a modern tool for selecting a subset of elements, subject to resource constraints, when the elements are presented to the algorithm sequentially. OCRS's have led to some of the…

数据结构与算法 · 计算机科学 2024-04-03 Calum MacRury , Will Ma , Nathaniel Grammel

We introduce a new rounding technique designed for online optimization problems, which is related to contention resolution schemes, a technique initially introduced in the context of submodular function maximization. Our rounding technique,…

数据结构与算法 · 计算机科学 2015-10-15 Moran Feldman , Ola Svensson , Rico Zenklusen

Online contention resolution scheme (OCRS) is a powerful technique for online decision making, which--in the case of matroids--given a matroid and a prior distribution of active elements, selects a subset of active elements that satisfies…

数据结构与算法 · 计算机科学 2025-04-24 Junyao Zhao

Real-world problems such as ad allocation and matching have been extensively studied under the lens of combinatorial optimization. In several applications, uncertainty in the input appears naturally and this has led to the study of online…

数据结构与算法 · 计算机科学 2022-09-23 Vasilis Livanos

Online contention resolution schemes (OCRSs) are effective rounding techniques for online stochastic combinatorial optimization problems. These schemes randomly and sequentially round a fractional solution to a relaxed problem that can be…

计算机科学与博弈论 · 计算机科学 2023-10-02 Toru Yoshinaga , Yasushi Kawase

We study multi-buyer multi-item sequential item pricing mechanisms for revenue maximization with the goal of approximating a natural fractional relaxation -- the ex ante optimal revenue. We assume that buyers' values are subadditive but…

计算机科学与博弈论 · 计算机科学 2024-04-24 Shuchi Chawla , Dimitris Christou , Trung Dang , Zhiyi Huang , Gregory Kehne , Rojin Rezvan

Online contention resolution schemes (OCRSs) are a central tool in Bayesian online selection and resource allocation: they convert fractional ex-ante relaxations into feasible online policies while preserving each marginal probability up to…

计算机科学与博弈论 · 计算机科学 2026-03-24 Mohammad Reza Aminian , Rad Niazadeh , Pranav Nuti

We study fully dynamic online selection problems in an adversarial/stochastic setting that includes Bayesian online selection, prophet inequalities, posted price mechanisms, and stochastic probing problems subject to combinatorial…

人工智能 · 计算机科学 2023-01-10 Vashist Avadhanula , Andrea Celli , Riccardo Colini-Baldeschi , Stefano Leonardi , Matteo Russo

Contention resolution schemes (CRSs) are powerful tools for obtaining "ex post feasible" solutions from candidates that are drawn from "ex ante feasible" distributions. Online contention resolution schemes (OCRSs), the online version, have…

数据结构与算法 · 计算机科学 2021-11-23 Hu Fu , Pinyan Lu , Zhihao Gavin Tang , Abner Turkieltaub , Hongxun Wu , Jinzhao Wu , Qianfan Zhang

Random order online contention resolution schemes (ROCRS) are structured online rounding algorithms with numerous applications and links to other well-known online selection problems, like the matroid secretary conjecture. We are interested…

最优化与控制 · 数学 2022-11-30 Richard Santiago , Ivan Sergeev , Rico Zenklusen

The Network Revenue Management (NRM) problem is a well-known challenge in dynamic decision-making under uncertainty. In this problem, fixed resources must be allocated to serve customers over a finite horizon, while customers arrive…

数据结构与算法 · 计算机科学 2023-10-16 Jiashuo Jiang

Contention resolution schemes have proven to be an incredibly powerful concept which allows to tackle a broad class of problems. The framework has been initially designed to handle submodular optimization under various types of constraints,…

数据结构与算法 · 计算机科学 2018-11-27 Marek Adamczyk , Michał Włodarczyk

We study an online joint assortment-inventory optimization problem, in which we assume that the choice behavior of each customer follows the Multinomial Logit (MNL) choice model, and the attraction parameters are unknown a priori. The…

机器学习 · 计算机科学 2025-01-03 Yong Liang , Xiaojie Mao , Shiyuan Wang

Online Resource Allocation addresses the problem of efficiently allocating limited resources to buyers with incomplete knowledge of future requests. In our setting, buyers arrive sequentially requesting a set of items, each with a value…

计算机科学与博弈论 · 计算机科学 2026-02-11 Dimitris Fotakis , Charalampos Platanos , Thanos Tolias

In addition to maximizing the total revenue, decision-makers in lots of industries would like to guarantee balanced consumption across different resources. For instance, in the retailing industry, ensuring a balanced consumption of…

机器学习 · 统计学 2023-09-11 Xi Chen , Jiameng Lyu , Yining Wang , Yuan Zhou

Contention resolution schemes have proven to be a useful and unifying abstraction for a variety of constrained optimization problems, in both offline and online arrival models. Much of prior work restricts attention to product distributions…

数据结构与算法 · 计算机科学 2020-04-30 Shaddin Dughmi

We consider an assortment selection and pricing problem in which a seller has $N$ different items available for sale. In each round, the seller observes a $d$-dimensional contextual preference information vector for the user, and offers to…

机器学习 · 计算机科学 2025-03-18 Yigit Efe Erginbas , Thomas A. Courtade , Kannan Ramchandran

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

数据结构与算法 · 计算机科学 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

Ensuring that the right resource is available at the right location and time remains a major challenge for organizations operating large-scale logistics networks. The challenge comes from uneven demand patterns and the resulting asymmetric…

机器学习 · 计算机科学 2025-11-25 Ved Mohan , El Mehdi Er Raqabi , Pascal Van Hentenryck

We introduce a general model of resource allocation with customer choice. In this model, there are multiple resources that are available over a finite horizon. The resources are non-replenishable and perishable. Each unit of a resource can…

最优化与控制 · 数学 2015-11-06 Guillermo Gallego , Anran Li , Van-Anh Truong , Xinshang Wang
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