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There is a rising interest for studying the online benchmark as an alternative of the classical offline benchmark in online stochastic settings. Ezra, Feldman, Gravin, and Tang (SODA 2023) introduced the notion of order-competitive ratio,…

Data Structures and Algorithms · Computer Science 2024-06-24 Liyan Chen , Nuozhou Sun , Zhihao Gavin Tang

We study the online stochastic bipartite matching problem, in a form motivated by display ad allocation on the Internet. In the online, but adversarial case, the celebrated result of Karp, Vazirani and Vazirani gives an approximation ratio…

Data Structures and Algorithms · Computer Science 2009-05-27 Jon Feldman , Aranyak Mehta , Vahab Mirrokni , S. Muthukrishnan

In their seminal paper, Karp, Vazirani and Vazirani (STOC'90) introduce the online bipartite matching problem, and the RANKING algorithm, which admits a tight $1-\frac{1}{e}$ competitive ratio. Since its publication, the problem has…

Computer Science and Game Theory · Computer Science 2020-10-13 Alon Eden , Michal Feldman , Amos Fiat , Kineret Segal

We study the edge-weighted online stochastic matching problem. Since Feldman, Mehta, Mirrokni, and Muthukrishnan proposed the $(1-\frac1e)$-competitive Suggested Matching algorithm, there has been no improvement for the general…

Data Structures and Algorithms · Computer Science 2025-10-15 Shuyi Yan

Motivated by Internet targeted advertising, we address several ad allocation problems. Prior work has established these problems admit no randomized online algorithm better than $(1-\frac{1}{e})$-competitive…

Data Structures and Algorithms · Computer Science 2015-04-30 Joseph , Naor , David Wajc

We study the online bipartite matching problem, introduced by Karp, Vazirani and Vazirani [1990]. For bipartite graphs with matchings of size $n$, it is known that the Ranking randomized algorithm matches at least $(1 - \frac{1}{e})n$ edges…

Data Structures and Algorithms · Computer Science 2019-01-01 Uriel Feige

We revisit the online bipartite matching problem on $d$-regular graphs, for which Cohen and Wajc (SODA 2018) proposed an algorithm with a competitive ratio of $1-2\sqrt{H_d/d} = 1-O(\sqrt{(\log d)/d})$ and showed that it is asymptotically…

Data Structures and Algorithms · Computer Science 2025-10-02 Yilong Feng , Haolong Li , Xiaowei Wu , Shengwei Zhou

We study Stochastic Online Correlated Selection (SOCS), a family of online rounding algorithms for Non-IID Stochastic Online Submodular Welfare Maximization and special cases such as Online Stochastic Matching, Stochastic AdWords, and…

Data Structures and Algorithms · Computer Science 2024-08-23 Ziyun Chen , Zhiyi Huang , Enze Sun

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…

Data Structures and Algorithms · Computer Science 2015-06-09 Xiao Alison Chen , Zizhuo Wang

Online bipartite matching with one-sided arrival and its variants have been extensively studied since the seminal work of Karp, Vazirani, and Vazirani (STOC 1990). Motivated by real-life applications with dynamic market structures, e.g.…

Data Structures and Algorithms · Computer Science 2022-02-09 Zhihao Gavin Tang , Yuhao Zhang

Karp, Vazirani, and Vazirani (STOC 1990) initiated the study of online bipartite matching, which has held a central role in online algorithms ever since. Of particular importance are the Ranking algorithm for integral matching and the…

Data Structures and Algorithms · Computer Science 2020-05-14 Zhiyi Huang , Zhihao Gavin Tang , Xiaowei Wu , Yuhao Zhang

Online bipartite matching is a fundamental problem in online optimization, extensively studied both in its integral and fractional forms due to its theoretical significance and practical applications, such as online advertising and resource…

Data Structures and Algorithms · Computer Science 2025-10-30 Davin Choo , Billy Jin , Yongho Shin

We revisit the fully online matching model (Huang et al., J.\ ACM, 2020), an extension of the classic online matching model due to Karp, Vazirani, and Vazirani (STOC 1990), which has recently received a lot of attention (Huang et al., SODA…

Data Structures and Algorithms · Computer Science 2021-09-07 Alexander Eckl , Anja Kirschbaum , Marilena Leichter , Kevin Schewior

Online resource allocation is a rich and varied field. One of the most well-known problems in this area is online bipartite matching, introduced in 1990 by Karp, Vazirani, and Vazirani [KVV90]. Since then, many variants have been studied,…

Data Structures and Algorithms · Computer Science 2024-12-24 Daniel Hathcock , Billy Jin , Kalen Patton , Sherry Sarkar , Michael Zlatin

We address the challenge of finding algorithms for online allocation (i.e. bipartite matching) using a machine learning approach. In this paper, we focus on the AdWords problem, which is a classical online budgeted matching problem of both…

Machine Learning · Computer Science 2020-10-19 Goran Zuzic , Di Wang , Aranyak Mehta , D. Sivakumar

Online bipartite matching is a classical problem in online algorithms and we know that both the deterministic fractional and randomized integral online matchings achieve the same competitive ratio of $1-\frac{1}{e}$. In this work, we study…

Data Structures and Algorithms · Computer Science 2025-11-21 Amey Bhangale , Arghya Chakraborty , Prahladh Harsha

Display Ads and the generalized assignment problem are two well-studied online packing problems with important applications in ad allocation and other areas. In both problems, ad impressions arrive online and have to be allocated…

Machine Learning · Computer Science 2023-05-26 Fabian Spaeh , Alina Ene

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…

Data Structures and Algorithms · Computer Science 2023-12-05 Yilong Feng , Xiaowei Wu , Shengwei Zhou

Online resource allocation problems are central challenges in economics and computer science, modeling situations in which $n$ items arriving one at a time must each be immediately allocated among $m$ agents. In such problems, our objective…

Data Structures and Algorithms · Computer Science 2025-10-14 Kalen Patton

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…

Data Structures and Algorithms · Computer Science 2013-08-27 Rad Niazadeh , Robert D. Kleinberg