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We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

Machine Learning · Computer Science 2024-05-21 Jiashuo Jiang

We study a variation of the canonical online resource allocation problem in which resources are throughput, rather than budget, constrained. As in the classical setting, the decision-maker must assign sequentially arriving jobs to one of…

Optimization and Control · Mathematics 2025-09-17 Chamsi Hssaine , Huseyin Topaloglu , Garrett van Ryzin

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

Machine Learning · Computer Science 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

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

Online graph problems are considered in models where the irrevocability requirement is relaxed. Motivated by practical examples where, for example, there is a cost associated with building a facility and no extra cost associated with doing…

Data Structures and Algorithms · Computer Science 2017-05-01 Joan Boyar , Lene M. Favrholdt , Kim S. Larsen , Michal Kotrbčík

We consider the adversarial online multi-task reinforcement learning setting, where in each of $K$ episodes the learner is given an unknown task taken from a finite set of $M$ unknown finite-horizon MDP models. The learner's objective is to…

Machine Learning · Computer Science 2023-01-12 Quan Nguyen , Nishant A. Mehta

We consider the online unrelated-machine load balancing problem with recourse, where the algorithm is allowed to re-assign prior jobs. We give a $(2+\epsilon)$-competitive algorithm for the problem with $O_\epsilon(\log n)$ amortized…

Data Structures and Algorithms · Computer Science 2022-11-30 Ravishankar Krishnaswamy , Shi Li , Varun Suriyanarayana

We study online configuration selection with admission control problem, which arises in LLM serving, GPU scheduling, and revenue management. In a planning horizon with $T$ periods, we consider a two-layer framework for the decisions made…

Optimization and Control · Mathematics 2026-02-10 Owen Shen , Haoran Xu , Yinyu Ye , Peter Glynn , Patrick Jaillet

We explore the machine-minimizing job scheduling problem, which has a rich history in the line of research, under an online setting. We consider systems with arbitrary job arrival times, arbitrary job deadlines, and unit job execution time.…

Data Structures and Algorithms · Computer Science 2013-09-24 Mong-Jen Kao , Jian-Jia Chen , Ignaz Rutter , Dorothea Wagner

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 consider an online load balancing problem and its extensions in the framework of repeated games. On each round, the player chooses a distribution (task allocation) over $K$ servers, and then the environment reveals the load of each…

Data Structures and Algorithms · Computer Science 2020-07-22 Yaxiong Liu , Kohei Hatano , Eiji Takimoto

Online algorithm has been an emerging area of interest for researchers in various domains of computer science. The online $m$-machine list scheduling problem introduced by Graham has gained theoretical as well as practical significance in…

Data Structures and Algorithms · Computer Science 2020-01-03 Rakesh Mohanty , Debasis Dwibedy , Shreeya Swagatika Sahoo

We study the problem of representation transfer in offline Reinforcement Learning (RL), where a learner has access to episodic data from a number of source tasks collected a priori, and aims to learn a shared representation to be used in…

Machine Learning · Computer Science 2024-02-21 Avinandan Bose , Simon Shaolei Du , Maryam Fazel

We revisit the online dynamic acknowledgment problem. In the problem, a sequence of requests arrive over time to be acknowledged, and all outstanding requests can be satisfied simultaneously by one acknowledgement. The goal of the problem…

Data Structures and Algorithms · Computer Science 2023-05-30 Sungjin Im , Benjamin Moseley , Chenyang Xu , Ruilong Zhang

This paper establishes performance guarantees for online algorithms that schedule stochastic, nonpreemptive jobs on unrelated machines to minimize the expected total weighted completion time. Prior work on unrelated machine scheduling with…

Data Structures and Algorithms · Computer Science 2020-05-14 Varun Gupta , Benjamin Moseley , Marc Uetz , Qiaomin Xie

This paper presents a new research direction for online Multi-Level Aggregation (MLA) with delays. In this problem, we are given an edge-weighted rooted tree $T$, and we have to serve a sequence of requests arriving at its vertices in an…

Data Structures and Algorithms · Computer Science 2024-10-01 Mathieu Mari , Michał Pawłowski , Runtian Ren , Piotr Sankowski

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 present a federated, asynchronous, memory-limited algorithm for online task scheduling across large-scale networks of hundreds of workers. This is achieved through recent advancements in federated edge computing that unlocks the ability…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-29 Andreas Grammenos , Evangelia Kalyvianaki , Peter Pietzuch

In online interval scheduling, the input is an online sequence of intervals, and the goal is to accept a maximum number of non-overlapping intervals. In the more general disjoint path allocation problem, the input is a sequence of requests,…

Data Structures and Algorithms · Computer Science 2025-01-24 Joan Boyar , Lene M. Favrholdt , Shahin Kamali , Kim S. Larsen

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