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Online matching and its variants are some of the most fundamental problems in the online algorithms literature. In this paper, we study the online weighted bipartite matching problem. Karp et al. (STOC 1990) gave an elegant algorithm in the…

数据结构与算法 · 计算机科学 2019-11-22 Matthew Fahrbach , Morteza Zadimoghaddam

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

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

This paper studies the online correlated selection (OCS) problem. It was introduced by Fahrbach, Huang, Tao, and Zadimoghaddam (2020) to obtain the first edge-weighted online bipartite matching algorithm that breaks the $0.5$ barrier.…

数据结构与算法 · 计算机科学 2021-12-17 Ruiquan Gao , Zhongtian He , Zhiyi Huang , Zipei Nie , Bijun Yuan , Yan Zhong

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

We study the online load balancing problem on unrelated machines, with the objective of minimizing the square of the $\ell_2$ norm of the loads on the machines. The greedy algorithm of Awerbuch et al. (STOC'95) is optimal for deterministic…

数据结构与算法 · 计算机科学 2025-11-06 Sander Borst , Danish Kashaev

We study the online stochastic matching problem. Against the offline benchmark, Feldman, Gravin, and Lucier (SODA 2015) designed an optimal $0.5$-competitive algorithm. A recent line of work, initiated by Papadimitriou, Pollner, Saberi, and…

数据结构与算法 · 计算机科学 2025-03-26 Enze Sun , Zhihao Gavin Tang , Yifan Wang

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,…

数据结构与算法 · 计算机科学 2024-12-30 Daniel Hathcock , Billy Jin , Kalen Patton , Sherry Sarkar , Michael Zlatin

Recent work has addressed the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions so as to maximize revenue, most of which assume that pricing is done via a first-price auction. This does not…

数据结构与算法 · 计算机科学 2008-09-12 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

The online unit clustering problem was proposed by Chan and Zarrabi-Zadeh (WAOA2007 and Theory of Computing Systems 45(3), 2009), which is defined as follows: "Points" are given online in the $d$-dimensional Euclidean space one by one. An…

数据结构与算法 · 计算机科学 2015-02-10 Jun Kawahara , Koji M. Kobayashi

We consider the maximum bipartite matching problem in stochastic settings, namely the query-commit and price-of-information models. In the query-commit model, an edge e independently exists with probability $p_e$. We can query whether an…

数据结构与算法 · 计算机科学 2019-10-15 Buddhima Gamlath , Sagar Kale , Ola Svensson

Online optimization covers problems such as online resource allocation, online bipartite matching, adwords (a central problem in e-commerce and advertising), and adwords with separable concave returns. We analyze the worst case competitive…

数据结构与算法 · 计算机科学 2016-11-03 Reza Eghbali , Maryam Fazel

Pay-per-click advertising includes various formats (\emph{e.g.}, search, contextual, social) with a total investment of more than 200 billion USD per year worldwide. An advertiser is given a daily budget to allocate over several, even…

机器学习 · 计算机科学 2020-03-04 Alessandro Nuara , Francesco Trovò , Nicola Gatti , Marcello Restelli

Motivated by recent insights into the online bipartite matching problem (\textsc{OBM}), our goal was to extend the optimal algorithm for it, namely \textsc{Ranking}, all the way to the special case of adwords problem, called \textsc{Small},…

数据结构与算法 · 计算机科学 2023-07-25 Vijay V. Vazirani

A variant of the online knapsack problem is considered in the settings of trusted and untrusted predictions. In Unit Profit Knapsack, the items have unit profit, and it is easy to find an optimal solution offline: Pack as many of the…

数据结构与算法 · 计算机科学 2022-03-02 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

Most recent papers addressing the algorithmic problem of allocating advertisement space for keywords in sponsored search auctions assume that pricing is done via a first-price auction, which does not realistically model the Generalized…

数据结构与算法 · 计算机科学 2009-08-21 Yossi Azar , Benjamin Birnbaum , Anna R. Karlin , C. Thach Nguyen

Ad auctions in sponsored search support ``broad match'' that allows an advertiser to target a large number of queries while bidding only on a limited number. While giving more expressiveness to advertisers, this feature makes it challenging…

计算机科学与博弈论 · 计算机科学 2009-01-26 Eyal Even-dar , Yishay Mansour , Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

Online advertising has recently grown into a highly competitive and complex multi-billion-dollar industry, with advertisers bidding for ad slots at large scales and high frequencies. This has resulted in a growing need for efficient…

机器学习 · 计算机科学 2023-07-04 Zhe Feng , Swati Padmanabhan , Di Wang

In a 1989 paper titled "shortest paths without a map", Papadimitriou and Yannakakis introduced an online model of searching in a weighted layered graph for a target node, while attempting to minimize the total length of the path traversed…

数据结构与算法 · 计算机科学 2024-12-17 Sébastien Bubeck , Christian Coester , Yuval Rabani

Nearly three decades ago, Bar-Noy, Motwani and Naor showed that no online edge-coloring algorithm can edge color a graph optimally. Indeed, their work, titled "the greedy algorithm is optimal for on-line edge coloring", shows that the…

数据结构与算法 · 计算机科学 2021-05-17 Amin Saberi , David Wajc