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We study a dynamic non-bipartite matching problem. There is a fixed set of agent types, and agents of a given type arrive and depart according to type-specific Poisson processes. Agent departures are not announced in advance. The value of a…

Computer Science and Game Theory · Computer Science 2021-01-12 Natalie Collina , Nicole Immorlica , Kevin Leyton-Brown , Brendan Lucier , Neil Newman

We provide online algorithms for secretary matching in general weighted graphs, under the well-studied models of vertex and edge arrivals. In both models, edges are associated with arbitrary weights that are unknown from the outset, and are…

Data Structures and Algorithms · Computer Science 2020-11-04 Tomer Ezra , Michal Feldman , Nick Gravin , Zhihao Gavin Tang

The online bipartite matching problem has offline buyers desiring to be matched to online items. The analysis of online bipartite matching of Eden et al. (2021) is a smoothness proof (Syrgkanis and Tardos, 2013). Moreover, it can be…

Computer Science and Game Theory · Computer Science 2023-08-01 Jason Hartline

We study the problem of matching agents who arrive at a marketplace over time and leave after d time periods. Agents can only be matched while they are present in the marketplace. Each pair of agents can yield a different match value, and…

Data Structures and Algorithms · Computer Science 2018-03-06 Itai Ashlagi , Maximilien Burq , Patrick Jaillet , Amin Saberi

Matching problems with group-fairness constraints and diversity constraints have numerous applications such as in allocation problems, committee selection, school choice, etc. Moreover, online matching problems have lots of applications in…

Data Structures and Algorithms · Computer Science 2023-08-04 Anand Louis , Meghana Nasre , Prajakta Nimbhorkar , Govind S. Sankar

We study the online bin packing problem under two stochastic settings. In the bin packing problem, we are given n items with sizes in (0,1] and the goal is to pack them into the minimum number of unit-sized bins. First, we study bin packing…

Data Structures and Algorithms · Computer Science 2025-03-05 Nikhil Ayyadevara , Rajni Dabas , Arindam Khan , K. V. N. Sreenivas

Learning-augmented algorithms have been attracting increasing interest, but have only recently been considered in the setting of explorable uncertainty where precise values of uncertain input elements can be obtained by a query and the goal…

Data Structures and Algorithms · Computer Science 2023-05-17 Thomas Erlebach , Murilo Santos de Lima , Nicole Megow , Jens Schlöter

The extension of classical online algorithms when provided with predictions is a new and active research area. In this paper, we extend the primal-dual method for online algorithms in order to incorporate predictions that advise the online…

Machine Learning · Computer Science 2020-10-23 Étienne Bamas , Andreas Maggiori , Ola Svensson

We consider the Ordered Open End Bin Packing problem. Items of sizes in $(0,1]$ are presented one by one, to be assigned to bins in this order. An item can be assigned to any bin for which the current total size strictly below $1$. This…

Data Structures and Algorithms · Computer Science 2020-10-15 János Balogh , Leah Epstein , Asaf Levin

Motivated by applications in the gig economy, we study approximation algorithms for a \emph{sequential pricing problem}. The input is a bipartite graph $G=(I,J,E)$ between individuals $I$ and jobs $J$. The platform has a value of $v_j$ for…

Data Structures and Algorithms · Computer Science 2022-05-19 Tristan Pollner , Mohammad Roghani , Amin Saberi , David Wajc

We introduce a new random input model for bipartite matching which we call the Random Type Poisson Arrival Model. Just like in the known i.i.d. model (introduced by Feldman et al. 2009), online nodes have types in our model. In contrast to…

Data Structures and Algorithms · Computer Science 2018-05-03 Allan Borodin , Christodoulos Karavasilis , Denis Pankratov

This paper analyzes the problem of assigning weights to edges incrementally in a dynamic complete bipartite graph consisting of producer and consumer nodes. The objective is to minimize the overall cost while satisfying certain constraints.…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-03 Ankur Sahai

The online stochastic matching problem was introduced by [FMMM09], together with the $(1-\frac1e)$-competitive Suggested Matching algorithm. In the most general edge-weighted setting, this ratio has not been improved for more than one…

Data Structures and Algorithms · Computer Science 2026-05-12 Shuyi Yan

This paper introduces a family of learning-augmented algorithms for online knapsack problems that achieve near Pareto-optimal consistency-robustness trade-offs through a simple combination of trusted learning-augmented and worst-case…

Machine Learning · Computer Science 2025-07-10 Mohammadreza Daneshvaramoli , Helia Karisani , Adam Lechowicz , Bo Sun , Cameron Musco , Mohammad Hajiesmaili

We study the performance of sequential contention resolution and matching algorithms on random graphs with vanishing edge probabilities. When the edges of the graph are processed in an adversarially-chosen order, we derive a new OCRS that…

Data Structures and Algorithms · Computer Science 2024-10-10 Will Ma , Calum MacRury , Pranav Nuti

Bipartite b-matching is fundamental in algorithm design, and has been widely applied into economic markets, labor markets, etc. These practical problems usually exhibit two distinct features: large-scale and dynamic, which requires the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-13 Xiaotian Hao , Junqi Jin , Jianye Hao , Jin Li , Weixun Wang , Yi Ma , Zhenzhe Zheng , Han Li , Jian Xu , Kun Gai

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…

Data Structures and Algorithms · Computer Science 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens

In the stochastic online vector balancing problem, vectors $v_1,v_2,\ldots,v_T$ chosen independently from an arbitrary distribution in $\mathbb{R}^n$ arrive one-by-one and must be immediately given a $\pm$ sign. The goal is to keep the norm…

Data Structures and Algorithms · Computer Science 2020-07-22 Nikhil Bansal , Haotian Jiang , Raghu Meka , Sahil Singla , Makrand Sinha

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

In the online random-arrival model, an algorithm receives a sequence of n requests that arrive in a random order. The algorithm is expected to make an irrevocable decision with regard to each request based only on the observed history. We…

Data Structures and Algorithms · Computer Science 2014-07-08 Shai Vardi