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There has been a recent explosion in the size of stored data, partially due to advances in storage technology, and partially due to the growing popularity of cloud-computing and the vast quantities of data generated. This motivates the need…

Data Structures and Algorithms · Computer Science 2012-12-06 Isabelle Stanton

We break the barrier of $3/2$ for the problem of online load balancing with known makespan, also known as bin stretching. In this problem, $m$ identical machines and the optimal makespan are given. The load of a machine is the total size of…

Data Structures and Algorithms · Computer Science 2024-07-12 Martin Böhm , Matej Lieskovský , Sören Schmitt , Jiří Sgall , Rob van Stee

A canonical setting for non-monetary online resource allocation is one where agents compete over multiple rounds for a single item per round, with i.i.d. valuations and additive utilities across rounds. With $n$ symmetric agents, a natural…

Computer Science and Game Theory · Computer Science 2025-12-01 David X. Lin , Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

Makespan minimization on identical parallel machines is a classical scheduling problem. We consider the online scenario where a sequence of $n$ jobs has to be scheduled non-preemptively on $m$ machines so as to minimize the maximum…

Data Structures and Algorithms · Computer Science 2012-03-09 Susanne Albers , Matthias Hellwig

We study flow scheduling under node capacity constraints. We are given capacitated nodes and an online sequence of jobs, each with a release time and a demand to be routed between two nodes. A schedule specifies which jobs are routed in…

Data Structures and Algorithms · Computer Science 2021-11-17 Searidang Pa , Rajmohan Rajaraman , David Stalfa

Our work introduces the effect of supply/demand imbalances into the literature on online matching with stochastic rewards in bipartite graphs. We provide a parameterized definition that characterizes instances as over- or undersupplied (or…

Data Structures and Algorithms · Computer Science 2025-02-12 Benjamin Barrientos , Daniel Freund , Daniela Saban

Inspired by online ad allocation, we study online stochastic packing linear programs from theoretical and practical standpoints. We first present a near-optimal online algorithm for a general class of packing linear programs which model…

Data Structures and Algorithms · Computer Science 2010-02-17 Jon Feldman , Monika Henzinger , Nitish Korula , Vahab S. Mirrokni , Cliff Stein

To accommodate low latency and computation-intensive services, such as the Internet-of-Things (IoT), 5G networks are expected to have cloud and edge computing capabilities. To this end, we consider a generic network setup where devices,…

Networking and Internet Architecture · Computer Science 2023-04-12 Saad Kriouile , Dimitrios Tsilimantos , Theodoros Giannakas

We study an online allocation problem with sequentially arriving items and adversarially chosen agent values, with the goal of balancing fairness and efficiency. Our goal is to study the performance of algorithms that achieve strong…

Computer Science and Game Theory · Computer Science 2023-08-21 Zongjun Yang , Luofeng Liao , Christian Kroer

We study the online facility location problem with uniform facility costs in the random-order model. Meyerson's algorithm [FOCS'01] is arguably the most natural and simple online algorithm for the problem with several advantages and…

Data Structures and Algorithms · Computer Science 2022-11-11 Haim Kaplan , David Naori , Danny Raz

We study online learning problems in which a decision maker has to make a sequence of costly decisions, with the goal of maximizing their expected reward while adhering to budget and return-on-investment (ROI) constraints. Existing…

Computer Science and Game Theory · Computer Science 2024-03-05 Matteo Castiglioni , Andrea Celli , Christian Kroer

In the Markov paging model, one assumes that page requests are drawn from a Markov chain over the pages in memory, and the goal is to maintain a fast cache that suffers few page faults in expectation. While computing the optimal online…

Data Structures and Algorithms · Computer Science 2026-05-26 Chirag Pabbaraju , Ali Vakilian

This paper proposes online algorithms for dynamic matching markets in power distribution systems, which at any real-time operation instance decides about matching -- or delaying the supply of -- flexible loads with available renewable…

Systems and Control · Electrical Eng. & Systems 2020-07-17 Deepan Muthirayan , Masood Parvania , Pramod P. Khargonekar

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 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…

Data Structures and Algorithms · Computer Science 2025-08-21 Yossi Azar , Debmalya Panigrahi , Or Vardi

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 perform an experimental study of algorithms for online bipartite matching under the known i.i.d. input model with integral types. In the last decade, there has been substantial effort in designing complex algorithms with the goal of…

Data Structures and Algorithms · Computer Science 2018-08-16 Allan Borodin , Christodoulos Karavasilis , Denis Pankratov

The integration of intermittent and stochastic renewable energy resources requires increased flexibility in the operation of the electric grid. Storage, broadly speaking, provides the flexibility of shifting energy over time; network, on…

Optimization and Control · Mathematics 2014-11-05 Junjie Qin , Yinlam Chow , Jiyan Yang , Ram Rajagopal

The $b$-matching problem is an allocation problem where the vertices on the left-hand side of a bipartite graph, referred to as servers, may be matched multiple times. In the setting with stochastic rewards, an assignment between an…

Data Structures and Algorithms · Computer Science 2024-11-27 Susanne Albers , Sebastian Schubert

This work introduces a natural variant of the online machine scheduling problem on unrelated machines, which we refer to as the favorite machine model. In this model, each job has a minimum processing time on a certain set of machines,…

Data Structures and Algorithms · Computer Science 2019-12-30 Cong Chen , Paolo Penna , Yinfeng Xu