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We reinterpret some online greedy algorithms for a class of nonlinear "load-balancing" problems as solving a mathematical program online. For example, we consider the problem of assigning jobs to (unrelated) machines to minimize the sum of…

Data Structures and Algorithms · Computer Science 2011-09-28 Anupam Gupta , Ravishankar Krishnaswamy , Kirk Pruhs

We consider the matching problem in the metric distortion framework. There are $n$ agents and $n$ items occupying points in a shared metric space, and the goal is to design a matching mechanism that outputs a low-cost matching between the…

Computer Science and Game Theory · Computer Science 2025-10-08 Jabari Hastings , Prasanna Ramakrishnan

A natural optimization model that formulates many online resource allocation and revenue management problems is the online linear program (LP) in which the constraint matrix is revealed column by column along with the corresponding…

Data Structures and Algorithms · Computer Science 2014-04-10 Shipra Agrawal , Zizhuo Wang , Yinyu Ye

In this paper, we aim to obtain the optimal delay-power tradeoff and the corresponding optimal scheduling policy for an arbitrary i.i.d. arrival process and adaptive transmissions. The number of backlogged packets at the transmitter is…

Information Theory · Computer Science 2017-11-01 Xiang Chen , Wei Chen , Joohyun Lee , Ness B. Shroff

This paper introduces an effective memetic algorithm for the linear ordering problem with cumulative costs. The proposed algorithm combines an order-based recombination operator with an improved forward-backward local search procedure and…

Neural and Evolutionary Computing · Computer Science 2014-05-20 Tao Ye , Kan Zhou , Zhipeng Lu , Jin-Kao Hao

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints. In…

Systems and Control · Electrical Eng. & Systems 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

We consider the classical online scheduling problem P||C_{max} in which jobs are released over list and provide a nearly optimal online algorithm. More precisely, an online algorithm whose competitive ratio is at most (1+\epsilon) times…

Data Structures and Algorithms · Computer Science 2013-02-19 Lin Chen , Deshi Ye , Guochuan Zhang

In this paper, we investigate the problem of assignment of $K$ identical servers to a set of $N$ parallel queues in a time slotted queueing system. The connectivity of each queue to each server is randomly changing with time; each server…

Optimization and Control · Mathematics 2016-11-17 Hassan Halabian , Ioannis Lambadaris , Chung-Horng Lung

In this paper we consider several related online computation problems. First, we study answering sequences of statistical queries arriving online, and being answered immediately when they arrive with differential privacy. Known matrix…

Data Structures and Algorithms · Computer Science 2026-05-12 Aleksandar Nikolov , Haohua Tang , Jonathan Ullman

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

Data Structures and Algorithms · Computer Science 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

We study the online list update problem under the advice model of computation. Under this model, an online algorithm receives partial information about the unknown parts of the input in the form of some bits of advice generated by a…

Data Structures and Algorithms · Computer Science 2016-06-07 Joan Boyar , Shahin Kamali , Kim S. Larsen , Alejandro López-Ortiz

Interval-constrained online bipartite matching problem frequently occurs in medical appointment scheduling: Unit-time jobs representing patients arrive online and are assigned to a time slot within their given feasible time interval. We…

Data Structures and Algorithms · Computer Science 2025-08-15 Andreas Abels , Mariia Anapolska , Christina Büsing

In this paper, we consider the online problem of scheduling independent jobs \emph{non-preemptively} so as to minimize the weighted flow-time on a set of unrelated machines. There has been a considerable amount of work on this problem in…

Data Structures and Algorithms · Computer Science 2018-04-24 Giorgio Lucarelli , Benjamin Moseley , Nguyen Kim Thang , Abhinav Srivastav , Denis Trystram

We study online convex optimization in a setting where the learner seeks to minimize the sum of a per-round hitting cost and a movement cost which is incurred when changing decisions between rounds. We prove a new lower bound on the…

Machine Learning · Computer Science 2019-10-23 Gautam Goel , Yiheng Lin , Haoyuan Sun , Adam Wierman

We consider the problem of online interval scheduling on a single machine, where intervals arrive online in an order chosen by an adversary, and the algorithm must output a set of non-conflicting intervals. Traditionally in scheduling…

Data Structures and Algorithms · Computer Science 2023-05-29 Allan Borodin , Christodoulos Karavasilis

In the online bipartite matching with reassignments problem, an algorithm is initially given only one side of the vertex set of a bipartite graph; the vertices on the other side are revealed to the algorithm one by one, along with its…

Data Structures and Algorithms · Computer Science 2020-03-12 Yongho Shin , Kangsan Kim , Seungmin Lee , Hyung-Chan An

We investigate the problem of deterministic pattern matching in multiple streams. In this model, one symbol arrives at a time and is associated with one of s streaming texts. The task at each time step is to report if there is a new match…

Data Structures and Algorithms · Computer Science 2012-04-26 Raphael Clifford , Markus Jalsenius , Ely Porat , Benjamin Sach

In the Online Machine Covering problem jobs, defined by their sizes, arrive one by one and have to be assigned to $m$ parallel and identical machines, with the goal of maximizing the load of the least-loaded machine. In this work, we study…

Data Structures and Algorithms · Computer Science 2021-10-28 Susanne Albers , Waldo Gálvez , Maximilian Janke

In the random-order online set cover problem, the instance with $m$ sets and $n$ elements is chosen in a worst-case fashion, but then the elements arrive in a uniformly random order. Can this random-order model allow us to circumvent the…

Data Structures and Algorithms · Computer Science 2025-11-11 Anupam Gupta , Marco Molinaro , Matteo Russo

We consider the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang
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