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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…

Data Structures and Algorithms · Computer Science 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,…

Data Structures and Algorithms · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Artificial Intelligence · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Optimization and Control · Mathematics 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…

Data Structures and Algorithms · Computer Science 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,…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Machine Learning · Statistics 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…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Computer Science 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…

Optimization and Control · Mathematics 2015-11-06 Guillermo Gallego , Anran Li , Van-Anh Truong , Xinshang Wang
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