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The $1 \mid \mid \Sigma w_j U_j$ problem asks to determine -- given $n$ jobs each with its own processing time, weight, and due date -- the minimum weighted number of tardy jobs in any single machine non-preemptive schedule for these jobs.…

Data Structures and Algorithms · Computer Science 2022-09-12 Danny Hermelin , Hendrik Molter , Dvir Shabtay

We consider the following scheduling problem. There is a single machine and the jobs will arrive for completion online. Each job j is preemptive and, upon its arrival, its other characteristics are immediately revealed to the machine: the…

Data Structures and Algorithms · Computer Science 2015-09-14 Patrick Loiseau , Xiaohu Wu

In this paper, an optimization problem with uncertain objective function coefficients is considered. The uncertainty is specified by providing a discrete scenario set, containing possible realizations of the objective function coefficients.…

Data Structures and Algorithms · Computer Science 2023-03-10 Marc Goerigk , Romain Guillaume , Adam Kasperski , Paweł Zieliński

This research addresses the multiprocessor scheduling problem of hard real-time systems, and it especially focuses on optimal and global schedulers when practical constraints are taken into account. First, we propose an improvement of the…

Operating Systems · Computer Science 2011-01-25 Shelby Funk , Vincent Nelis , Joel Goossens , Dragomir Milojevic , Geoffrey Nelissen

The problem of scheduling non-simultaneously released jobs with due dates on a single machine with the objective to minimize the maximum job lateness is known to be strongly NP-hard. Here we consider an extended model in which the…

Optimization and Control · Mathematics 2023-06-16 Nodari Vakhania , Frank Werner , Alejandro Reynoso

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

We describe in this paper a new method for building an efficient algorithm for scheduling jobs in a cluster. Jobs are considered as parallel tasks (PT) which can be scheduled on any number of processors. The main feature is to consider two…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Pierre-Francois Dutot , Lionel Eyraud , Grégory Mounié , Denis Trystram

We consider a scheduling problem of strategic agents representing jobs of different weights. Each agent has to decide on one of a finite set of identical machines to get their job processed. In contrast to the common and exclusive focus on…

Computer Science and Game Theory · Computer Science 2025-12-16 Wei-Chen Lee , Martin Bullinger , Alessandro Abate , Michael Wooldridge

Many practical applications of robotics require systems that can operate safely despite uncertainty. In the context of motion planning, two types of uncertainty are particularly important when planning safe robot trajectories. The first is…

Robotics · Computer Science 2023-02-02 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams

We propose new abstract and unified perspectives on a range of scheduling and graph coloring problems with general min-sum objectives. Specifically, we consider various problems where the objective function is the weighted sum of completion…

Data Structures and Algorithms · Computer Science 2026-02-12 Alexander Lindermayr , Zhenwei Liu , Nicole Megow

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

Optimization and Control · Mathematics 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

The Order Acceptance and Scheduling (OAS) problem describes a class of real-world problems such as in smart manufacturing and satellite scheduling. This problem consists of simultaneously selecting a subset of orders to be processed as well…

Neural and Evolutionary Computing · Computer Science 2021-06-11 Lei He , Arthur Guijt , Mathijs de Weerdt , Lining Xing , Neil Yorke-Smith

Two popular approaches for distributed training of SVMs on big data are parameter averaging and ADMM. Parameter averaging is efficient but suffers from loss of accuracy with increase in number of partitions, while ADMM in the feature space…

Machine Learning · Computer Science 2015-10-01 Ayan Das , Sourangshu Bhattacharya

The task of scheduling jobs to machines while minimizing the total makespan, the sum of weighted completion times, or a norm of the load vector, are among the oldest and most fundamental tasks in combinatorial optimization. Since all of…

Data Structures and Algorithms · Computer Science 2020-09-25 Martin Koutecký , Johannes Zink

We consider scheduling problems for unit jobs with release times, where the number or size of the gaps in the schedule is taken into consideration, either in the objective function or as a constraint. Except for a few papers on energy…

Data Structures and Algorithms · Computer Science 2020-07-21 Marek Chrobak , Mordecai Golin , Tak-Wah Lam , Dorian Nogneng

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

Learning to Rank (LTR) is one of the most widely used machine learning applications. It is a key component in platforms with profound societal impacts, including job search, healthcare information retrieval, and social media content feeds.…

Machine Learning · Computer Science 2024-02-09 My H. Dinh , James Kotary , Ferdinando Fioretto

In High Performance Computing (HPC) infrastructures, the control of resources by batch systems can lead to prolonged queue waiting times and adverse effects on the overall execution times of applications, particularly in data-intensive and…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-19 Abel Souza , Kristiaan Pelckmans , Devarshi Ghoshal , Lavanya Ramakrishnan , Johan Tordsson

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

Oja's algorithm is a well known online algorithm studied mainly in the context of stochastic principal component analysis. We make a simple observation, yet to the best of our knowledge a novel one, that when applied to a any (not…

Optimization and Control · Mathematics 2023-10-25 Dan Garber
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