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We consider the online stochastic matching problem proposed by Feldman et al. [FMMM09] as a model of display ad allocation. We are given a bipartite graph; one side of the graph corresponds to a fixed set of bins and the other side…

数据结构与算法 · 计算机科学 2011-08-03 Vahideh H. Manshadi , Shayan Oveis Gharan , Amin Saberi

In order for an e-commerce platform to maximize its revenue, it must recommend customers items they are most likely to purchase. However, the company often has business constraints on these items, such as the number of each item in stock.…

最优化与控制 · 数学 2019-11-19 Andrea Boskovic , Qinyi Chen , Dominik Kufel , Zijie Zhou

We consider an online matching problem with concave returns. This problem is a significant generalization of the Adwords allocation problem and has vast applications in online advertising. In this problem, a sequence of items arrive…

数据结构与算法 · 计算机科学 2015-06-09 Xiao Alison Chen , Zizhuo Wang

Online advertising is an important and huge industry. Having knowledge of the website attributes can contribute greatly to business strategies for ad-targeting, content display, inventory purchase or revenue prediction. Classical inferences…

机器学习 · 统计学 2014-11-18 Li Chen , Matthew Patton

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

最优化与控制 · 数学 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

We study online capacitated resource allocation, a natural generalization of online stochastic max-weight bipartite matching. This problem is motivated by ride-sharing and Internet advertising applications, where online arrivals may have…

数据结构与算法 · 计算机科学 2024-06-13 Alexander Braun , Thomas Kesselheim , Tristan Pollner , Amin Saberi

Internet advertising is a sophisticated game in which the many advertisers "play" to optimize their return on investment. There are many "targets" for the advertisements, and each "target" has a collection of games with a potentially…

计算复杂性 · 计算机科学 2015-03-13 Bhaskar DasGupta , S. Muthukrishnan

Aiming to overcome some of the limitations of worst-case analysis, the recently proposed framework of "algorithms with predictions" allows algorithms to be augmented with a (possibly erroneous) machine-learned prediction that they can use…

计算机科学与博弈论 · 计算机科学 2024-03-28 Eric Balkanski , Vasilis Gkatzelis , Xizhi Tan , Cherlin Zhu

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

最优化与控制 · 数学 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

Online matching problems have garnered significant attention in recent years due to numerous applications in e-commerce, online advertisements, ride-sharing, etc. Many of them capture the uncertainty in the real world by including…

数据结构与算法 · 计算机科学 2019-06-24 Brian Brubach , Karthik Abinav Sankararaman , Aravind Srinivasan , Pan Xu

We present a unified framework for designing and analyzing algorithms for online budgeted allocation problems (including online matching) and their generalization, the Online Generalized Assignment Problem (OnGAP). These problems have been…

数据结构与算法 · 计算机科学 2013-08-27 Rad Niazadeh , Robert D. Kleinberg

We study a fundamental model of resource allocation in which a finite number of resources must be assigned in an online manner to a heterogeneous stream of customers. The customers arrive randomly over time according to known stochastic…

最优化与控制 · 数学 2018-05-16 Clifford Stein , Van-Anh Truong , Xinshang Wang

This paper studies online algorithms augmented with multiple machine-learned predictions. While online algorithms augmented with a single prediction have been extensively studied in recent years, the literature for the multiple predictions…

机器学习 · 计算机科学 2022-07-14 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

We study a multi-objective model on the allocation of reusable resources under model uncertainty. Heterogeneous customers arrive sequentially according to a latent stochastic process, request for certain amounts of resources, and occupy…

最优化与控制 · 数学 2023-08-02 Xilin Zhang , Wang Chi Cheung

Traffic assignment is an integral part of urban city planning. Roads and freeways are constructed to cater to the expected demands of the commuters between different origin-destination pairs with the overall objective of minimising the…

系统与控制 · 计算机科学 2018-10-22 Anant Chopra , Deepak S. Kalhan , Amrit S. Bedi , Abhishek K. Gupta , Ketan Rajawat

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

数据结构与算法 · 计算机科学 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

We study online algorithms with predictions using distributional advice, a type of prediction that arises when leveraging expert knowledge or historical data. To demonstrate the usefulness and versatility of this framework, we focus on the…

数据结构与算法 · 计算机科学 2025-09-09 Clément L. Canonne , Kenny Chen , Julián Mestre

We study generalizations of online bipartite matching in which each arriving vertex (customer) views a ranked list of offline vertices (products) and matches to (purchases) the first one they deem acceptable. The number of products that the…

数据结构与算法 · 计算机科学 2023-06-27 Brian Brubach , Nathaniel Grammel , Will Ma , Aravind Srinivasan

Over the past decade, GPS enabled traffic applications, such as Google Maps and Waze, have become ubiquitous and have had a significant influence on billions of daily commuters' travel patterns. A consequence of the online route suggestions…

最优化与控制 · 数学 2021-09-21 Devansh Jalota , Dario Paccagnan , Maximilian Schiffer , Marco Pavone

Online resource allocation under budget constraints critically depends on proper modeling of user arrival dynamics. Classical approaches employ stochastic user arrival models to derive near-optimal solutions through fractional matching…

信息检索 · 计算机科学 2025-05-29 Bin Li , Diwei Liu , Zehong Hu , Jia Jia