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This paper studies online algorithms augmented with multiple machine-learned predictions. While online algorithms augmented with a single prediction have been extensively studied in recent years, the literature for the multiple predictions…

Machine Learning · Computer Science 2022-07-14 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

We give a new analysis of the RMix algorithm by Chin et al. for the Buffer Management with Bounded Delay problem (or online scheduling of unit jobs to maximise weighted throughput). Unlike the original proof of e/(e-1)-competitiveness, the…

Data Structures and Algorithms · Computer Science 2011-02-09 Łukasz Jeż

In this paper, we study the peak-aware energy scheduling problem using the competitive framework with machine learning prediction. With the uncertainty of energy demand as the fundamental challenge, the goal is to schedule the energy output…

Data Structures and Algorithms · Computer Science 2019-11-20 Russell Lee , Mohammad H. Hajiesmaili , Jian Li

Recent years have witnessed a rapid growth of distributed machine learning (ML) frameworks, which exploit the massive parallelism of computing clusters to expedite ML training. However, the proliferation of distributed ML frameworks also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Menglu Yu , Jia Liu , Chuan Wu , Bo Ji , Elizabeth S. Bentley

This paper considers using predictions in the context of the online Joint Replenishment Problem with Deadlines (JRP-D). Prior work includes asymptotically optimal competitive ratios of $O(1)$ for the clairvoyant setting and $O(\sqrt{n})$ of…

Data Structures and Algorithms · Computer Science 2025-11-21 Michael Dinitz , Jeremy T. Fineman , Seeun William Umboh

The paging problem is that of deciding which pages to keep in a memory of k pages in order to minimize the number of page faults. This paper introduces the marking algorithm, a simple randomized on-line algorithm for the paging problem, and…

Data Structures and Algorithms · Computer Science 2015-06-02 Amos Fiat , Richard Karp , Mike Luby , Lyle McGeoch , Daniel Sleator , Neal E. Young

In a classical scheduling problem, we are given a set of $n$ jobs of unit length along with precedence constraints, and the goal is to find a schedule of these jobs on $m$ identical machines that minimizes the makespan. Using the standard…

Data Structures and Algorithms · Computer Science 2023-12-07 Jesper Nederlof , Céline M. F. Swennenhuis , Karol Węgrzycki

Online bipartite matching has been extensively studied. In the unweighted setting, Karp et al. gave an optimal $(1 - 1/e)$-competitive randomized algorithm. In the weighted setting, optimal algorithms have been achieved only under…

Data Structures and Algorithms · Computer Science 2021-11-03 Nguyen Kim Thang

We consider a natural generalization of scheduling $n$ jobs on $m$ parallel machines so as to minimize the makespan. In our extension the set of jobs is partitioned into several classes and a machine requires a setup whenever it switches…

Data Structures and Algorithms · Computer Science 2018-09-28 Klaus Jansen , Marten Maack , Alexander Mäcker

This work studies online scheduling algorithms for buffer management, develops new algorithms, and analyzes their performances. Packets arrive at a release time r, with a non-negative weight w and an integer deadline d. At each time step,…

Data Structures and Algorithms · Computer Science 2025-11-21 Nourhan Sakr , Cliff Stein

This paper presents competitive algorithms for a novel class of online optimization problems with memory. We consider a setting where the learner seeks to minimize the sum of a hitting cost and a switching cost that depends on the previous…

Machine Learning · Computer Science 2021-01-11 Guanya Shi , Yiheng Lin , Soon-Jo Chung , Yisong Yue , Adam Wierman

In the online facility assignment on a line (OFAL) with a set $S$ of $k$ servers and a capacity $c:S\to\mathbb{N}$, each server $s\in S$ with a capacity $c(s)$ is placed on a line and a request arrives on a line one-by-one. The task of an…

Data Structures and Algorithms · Computer Science 2024-02-26 Tsubasa Harada

The aim of this research is twofold: Firstly, to model and solve a complex nurse scheduling problem with an integer programming formulation and evolutionary algorithms. Secondly, to detail a novel statistical method of comparing and hence…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin , Paul White

This paper presents a novel idea for the general case of the Common Due-Date (CDD) scheduling problem. The problem is about scheduling a certain number of jobs on a single or parallel machines where all the jobs possess different processing…

Data Structures and Algorithms · Computer Science 2014-05-07 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

In this paper, we study a certain class of online optimization problems, where the goal is to maximize a function that is not necessarily concave and satisfies the Diminishing Returns (DR) property under budget constraints. We analyze a…

Optimization and Control · Mathematics 2019-07-02 Omid Sadeghi , Reza Eghbali , Maryam Fazel

We consider the precedence-constrained scheduling problem to minimize the total weighted completion time. For a single machine several $2$-approximation algorithms are known, which are based on linear programming and network flows. We show…

Data Structures and Algorithms · Computer Science 2023-09-22 Sven Jäger , Philipp Warode

In this paper, we study the classic optimization problem of Related Machine Online Load Balancing under the conditions of selfish machines and selfish jobs. We have $m$ related machines with varying speeds and $n$ jobs arriving online with…

Data Structures and Algorithms · Computer Science 2024-12-31 Wenqian Wang , Chenyang Xu , Yuhao Zhang

In this paper, we design the first streaming algorithms for the problem of multitasking scheduling on parallel machines with shared processing. In one pass, our streaming approximation schemes can provide an approximate value of the optimal…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

This paper investigates co-scheduling algorithms for processing a set of parallel applications. Instead of executing each application one by one, using a maximum degree of parallelism for each of them, we aim at scheduling several…

Data Structures and Algorithms · Computer Science 2013-05-01 Guillaume Aupy , Manu Shantharam , Anne Benoit , Yves Robert , Padma Raghavan

A major technique in learning-augmented online algorithms is combining multiple algorithms or predictors. Since the performance of each predictor may vary over time, it is desirable to use not the single best predictor as a benchmark, but…

Machine Learning · Computer Science 2023-12-19 Antonios Antoniadis , Christian Coester , Marek Eliáš , Adam Polak , Bertrand Simon
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