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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

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…

计算机科学与博弈论 · 计算机科学 2026-02-11 Dimitris Fotakis , Charalampos Platanos , Thanos Tolias

In the setting of online algorithms, the input is initially not present but rather arrive one-by-one over time and after each input, the algorithm has to make a decision. Depending on the formulation of the problem, the algorithm might be…

数据结构与算法 · 计算机科学 2020-01-10 Mustafa Safa Ozdayi

This paper studies the online scheduling problem of minimizing total flow time for $n$ jobs on $m$ identical machines. A classical $\Omega(n)$ lower bound shows that no deterministic single-machine algorithm can beat the trivial greedy,…

数据结构与算法 · 计算机科学 2026-04-02 Yutong Geng , Enze Sun , Zonghan Yang , Yuhao Zhang

We consider two canonical Bayesian mechanism design settings. In the single-item setting, we prove tight approximation ratio for anonymous pricing: compared with Myerson Auction, it extracts at least $\frac{1}{2.62}$-fraction of revenue;…

计算机科学与博弈论 · 计算机科学 2018-11-05 Yaonan Jin , Pinyan Lu , Qi Qi , Zhihao Gavin Tang , Tao Xiao

We study the problem of fairly allocating indivisible goods to agents in an online setting, where goods arrive sequentially and must be allocated irrevocably. Focusing on the popular fairness notions of envy-freeness, proportionality, and…

计算机科学与博弈论 · 计算机科学 2026-05-29 Tzeh Yuan Neoh , Jannik Peters , Nicholas Teh

Motivated by the applications of rental services in e-commerce, we consider revenue maximization in online assortment of reusable resources for a stream of arriving consumers with different types. We design competitive online algorithms…

数据结构与算法 · 计算机科学 2025-12-09 Yiding Feng , Rad Niazadeh , Amin Saberi

In the ordinal Matroid Secretary Problem (MSP), elements from a weighted matroid are presented in random order to an algorithm that must incrementally select a large weight independent set. However, the algorithm can only compare pairs of…

数据结构与算法 · 计算机科学 2018-02-07 José A. Soto , Abner Turkieltaub , Victor Verdugo

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

In practice, auction data are often endogenously censored and anonymous, revealing only limited outcome statistics rather than full bid profiles. We study robust auction design when the seller observes only aggregated, anonymous order…

理论经济学 · 经济学 2026-02-26 Zhihao Gavin Tang , Shixin Wang

In this paper, we consider the online vertex-weighted bipartite matching problem in the random arrival model. We consider the generalization of the RANKING algorithm for this problem introduced by Huang, Tang, Wu, and Zhang (TALG 2019), who…

数据结构与算法 · 计算机科学 2022-11-09 Billy Jin , David P. Williamson

In the online sorting problem, a sequence of $n$ numbers in $[0, 1]$ (including $\{0,1\}$) have to be inserted in an array of size $m \ge n$ so as to minimize the sum of absolute differences between pairs of numbers occupying consecutive…

数据结构与算法 · 计算机科学 2025-08-21 Yossi Azar , Debmalya Panigrahi , Or Vardi

This paper provides threshold policies with tight guarantees for online selection with convex cost (OSCC). In OSCC, a seller wants to sell some asset to a sequence of buyers with the goal of maximizing her profit. The seller can produce…

计算机科学与博弈论 · 计算机科学 2024-01-24 Xiaoqi Tan , Siyuan Yu , Raouf Boutaba , Alberto Leon-Garcia

The online bisection problem is a natural dynamic variant of the classic optimization problem, where one has to dynamically maintain a partition of $n$ elements into two clusters of cardinality $n/2$. During runtime, an online algorithm is…

数据结构与算法 · 计算机科学 2024-03-19 Marcin Bienkowski , Stefan Schmid

We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

数据结构与算法 · 计算机科学 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

数据结构与算法 · 计算机科学 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

We consider online scheduling on multiple machines for jobs arriving one-by-one with the objective of minimizing the makespan. For any number of identical parallel or uniformly related machines, we provide a competitive-ratio approximation…

数据结构与算法 · 计算机科学 2013-03-11 Nicole Megow , Andreas Wiese

The recent large scale availability of mobility data, which captures individual mobility patterns, poses novel operational problems that are exciting and challenging. Motivated by this, we introduce and study a variant of the…

数据结构与算法 · 计算机科学 2023-12-12 Ozan Candogan , Yiding Feng

We consider online algorithms for the {\em page migration problem} that use predictions, potentially imperfect, to improve their performance. The best known online algorithms for this problem, due to Westbrook'94 and Bienkowski et al'17,…

数据结构与算法 · 计算机科学 2020-06-11 Piotr Indyk , Frederik Mallmann-Trenn , Slobodan Mitrović , Ronitt Rubinfeld

We study coalition formation in the framework of fractional hedonic games (FHGs). The objective is to maximize social welfare in an online model where agents arrive one by one and must be assigned to coalitions immediately and irrevocably.…

计算机科学与博弈论 · 计算机科学 2025-10-22 Martin Bullinger , René Romen , Alexander Schlenga