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We study the online metric matching problem. There are $m$ servers and $n$ requests located in a metric space, where all servers are available upfront and requests arrive one at a time. Upon the arrival of a new request, it needs to be…

数据结构与算法 · 计算机科学 2025-10-16 Mingwei Yang , Sophie H. Yu

We present a general framework for stochastic online maximization problems with combinatorial feasibility constraints. The framework establishes prophet inequalities by constructing price-based online approximation algorithms, a natural…

计算机科学与博弈论 · 计算机科学 2017-07-11 Paul Dütting , Michal Feldman , Thomas Kesselheim , Brendan Lucier

This paper studies the online stochastic resource allocation problem (RAP) with chance constraints and conditional expectation constraints. The online RAP is an integer linear programming problem where resource consumption coefficients are…

最优化与控制 · 数学 2022-04-01 Yuwei Chen , Zengde Deng , Zaiyi Chen , Yinzhi Zhou , Yujie Chen , Haoyuan Hu

We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

数据结构与算法 · 计算机科学 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

This paper studies an online selection problem, where a seller seeks to sequentially sell multiple copies of an item to arriving buyers. We consider an adversarial setting, making no modeling assumptions about buyers' valuations for the…

计算机科学与博弈论 · 计算机科学 2024-10-11 Bo Sun , Hossein Nekouyan Jazi , Xiaoqi Tan , Raouf Boutaba

We consider the problem of online allocation (matching, budgeted allocations, and assortments) of reusable resources where an adversarial sequence of resource requests is revealed over time and any allocated resource is used/rented for a…

数据结构与算法 · 计算机科学 2024-09-17 Vineet Goyal , Garud Iyengar , Rajan Udwani

We study a general problem of allocating limited resources to heterogeneous customers over time under model uncertainty. Each type of customer can be serviced using different actions, each of which stochastically consumes some combination…

人工智能 · 计算机科学 2021-08-31 Wang Chi Cheung , Will Ma , David Simchi-Levi , Xinshang Wang

Several well-studied online resource allocation problems can be formulated in terms of infinite, increasing sequences of positive values, in which each element is associated with a corresponding allocation value. Examples include problems…

数据结构与算法 · 计算机科学 2021-11-10 Spyros Angelopoulos , Diogo Arsénio , Shahin Kamali

In classic adversarial online resource allocation problems such as AdWords, customers arrive online while products are given offline with a fixed initial inventory. To ensure revenue guarantees under uncertainty, the decision maker must…

数据结构与算法 · 计算机科学 2025-11-21 Yiding Feng , Rad Niazadeh , Amin Saberi

Competitive analysis of online algorithms has commonly been applied to understand the behaviour of real-time systems during overload conditions. While competitive analysis provides insight into the behaviour of certain algorithms, it is…

性能 · 计算机科学 2018-06-06 Sathish Gopalakrishnan

We consider the online bipartite matching problem on $(k,d)$-bounded graphs, where each online vertex has at most $d$ neighbors, each offline vertex has at least $k$ neighbors, and $k\geq d\geq 2$. The model of $(k,d)$-bounded graphs is…

数据结构与算法 · 计算机科学 2023-12-05 Yilong Feng , Xiaowei Wu , Shengwei Zhou

Randomized rounding is a technique that was originally used to approximate hard offline discrete optimization problems from a mathematical programming relaxation. Since then it has also been used to approximately solve sequential stochastic…

数据结构与算法 · 计算机科学 2024-11-21 Will Ma

Most work on sequential learning assumes a fixed set of actions that are available all the time. However, in practice, actions can consist of picking subsets of readings from sensors that may break from time to time, road segments that can…

机器学习 · 计算机科学 2026-04-29 Gergely Neu , Michal Valko

In this work, we introduce a learning model designed to meet the needs of applications in which computational resources are limited, and robustness and interpretability are prioritized. Learning problems can be formulated as constrained…

系统与控制 · 电气工程与系统科学 2025-09-26 Christos Mavridis , John Baras

Motivated by sequential budgeted allocation problems, we investigate online matching problems where connections between vertices are not i.i.d., but they have fixed degree distributions -- the so-called configuration model. We estimate the…

数据结构与算法 · 计算机科学 2021-07-05 Nathan Noiry , Flore Sentenac , Vianney Perchet

To approach different business objectives, online traffic shaping algorithms aim at improving exposures of a target set of items, such as boosting the growth of new commodities. Generally, these algorithms assume that the utility of each…

机器学习 · 计算机科学 2022-01-03 Chenlin Shen , Guangda Huzhang , Yuhang Zhou , Chen Liang , Qing Da

In this paper, we study max-weight stochastic matchings on online bipartite graphs under both vertex and edge arrivals. We focus on designing polynomial time approximation algorithms with respect to the online benchmark, which was first…

数据结构与算法 · 计算机科学 2022-06-06 Mark Braverman , Mahsa Derakhshan , Antonio Molina Lovett

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them as online weighted bipartite matching problems with non-stationary arrivals. We propose new…

最优化与控制 · 数学 2018-05-29 Xinshang Wang , Van-Anh Truong , David Bank

Time-varying systems are a challenge in many scientific and engineering areas. Usually, estimation of time-varying parameters or signals must be performed online, which calls for the development of responsive online algorithms. In this…

最优化与控制 · 数学 2018-09-10 Sophie M. Fosson

We study the online stochastic matching problem. Consider a bipartite graph with offline vertices on one side, and with i.i.d.online vertices on the other side. The offline vertices and the distribution of online vertices are known to the…

数据结构与算法 · 计算机科学 2021-03-26 Zhiyi Huang , Xinkai Shu