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We introduce the following elementary scheduling problem. We are given a collection of n jobs, where each job has an integer length as well as a set Ti of time intervals in which it can be feasibly scheduled. Given a parameter B, the…

Data Structures and Algorithms · Computer Science 2012-08-02 Jessica Chang , Harold N. Gabow , Samir Khuller

In this paper, we study the active time scheduling problem. We are given n jobs with integral processing times each of which has an integral release time and deadline. The goal is to schedule all the jobs on a machine that can work on b…

Computational Complexity · Computer Science 2021-12-07 Sagnik Saha , Manish Purohit

Determination of the most economic strategies for supply and transmission of electricity is a daunting computational challenge. Due to theoretical barriers, so-called NP-hardness, the amount of effort to optimize the schedule of generating…

Optimization and Control · Mathematics 2017-07-13 Ramtin Madani , Alper Atamturk , Ali Davoudi

Developing CPU scheduling algorithms and understanding their impact in practice can be difficult and time consuming due to the need to modify and test operating system kernel code and measure the resulting performance on a consistent…

Operating Systems · Computer Science 2013-07-17 Neetu Goel , R. B. Garg

Test-time compute scaling has emerged as a powerful paradigm for enhancing mathematical reasoning in large language models (LLMs) by allocating additional computational resources during inference. However, current methods employ uniform…

Computation and Language · Computer Science 2025-12-02 Yang Xiao , Chunpu Xu , Ruifeng Yuan , Jiashuo Wang , Wenjie Li , Pengfei Liu

We consider the problem of scheduling $n$ jobs on $m$ uniform machines while minimizing the makespan ($Q||C_{\max}$) and maximizing the minimum completion time ($Q||C_{\min}$) in an online setting with migration of jobs. In this online…

Data Structures and Algorithms · Computer Science 2025-08-13 Hauke Brinkop , David Fischer , Klaus Jansen

Scheduling is a critical part of practical computer systems, and scheduling has also been extensively studied from a theoretical perspective. Unfortunately, there is a gap between theory and practice, as the optimal scheduling policies…

Performance · Computer Science 2021-10-25 Ziv Scully , Mor Harchol-Balter

Most neural network scheduling research focuses on optimizing static, end-to-end models of fixed width, overlooking dynamic approaches that adapt to heterogeneous hardware and fluctuating runtime conditions. We present Slim Scheduler, a…

Machine Learning · Computer Science 2025-10-13 Ian Harshbarger , Calvin Chidambaram

We study Nonpreemptive Peak Demand Minimization (NPDM) problem, where we are given a set of jobs, specified by their processing times and energy requirements. The goal is to schedule all jobs within a fixed time period such that the peak…

Data Structures and Algorithms · Computer Science 2021-05-18 Max A. Deppert , Klaus Jansen , Arindam Khan , Malin Rau , Malte Tutas

There is a long history of approximation schemes for the problem of scheduling jobs on identical machines to minimize the makespan. Such a scheme grants a $(1+\epsilon)$-approximation solution for every $\epsilon > 0$, but the running time…

Data Structures and Algorithms · Computer Science 2021-07-30 Sebastian Berndt , Max A. Deppert , Klaus Jansen , Lars Rohwedder

A novel energy reduction strategy to maximally exploit the dynamic workload variation is proposed for the offline voltage scheduling of preemptive systems. The idea is to construct a fully-preemptive schedule that leads to minimum energy…

Other Computer Science · Computer Science 2011-11-09 Lap-Fai Leung , Chi-Ying Tsui , Xiaobo Sharon Hu

This paper addresses the computational offloading of Deep Neural Networks (DNNs) to nearby devices with similar processing capabilities, to avoid the larger communication delays incurred for cloud offloading. We present a preemption aware…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-24 Jamie Cotter , Ignacio Castineiras , Donna O'Shea , Victor Cionca

The power consumption of enormous network devices in data centers has emerged as a big concern to data center operators. Despite many traffic-engineering-based solutions, very little attention has been paid on performance-guaranteed energy…

Networking and Internet Architecture · Computer Science 2014-05-30 Lin Wang , Fa Zhang , Kai Zheng , Athanasios V. Vasilakos , Shaolei Ren , Zhiyong Liu

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

Data Structures and Algorithms · Computer Science 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

We study scheduling problems on a machine with varying speed. Assuming a known speed function we ask for a cost-efficient scheduling solution. Our main result is a PTAS for minimizing the total weighted completion time in this setting. This…

Data Structures and Algorithms · Computer Science 2014-03-06 Nicole Megow , José Verschae

Scaling test-time compute has emerged as a key ingredient for enabling large language models (LLMs) to solve difficult problems, but comes with high latency and inference cost. We introduce sleep-time compute, which allows models to "think"…

Artificial Intelligence · Computer Science 2025-04-18 Kevin Lin , Charlie Snell , Yu Wang , Charles Packer , Sarah Wooders , Ion Stoica , Joseph E. Gonzalez

An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

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

To deliver high performance in power limited systems, architects have turned to using heterogeneous systems, either CPU+GPU or mixed CPU-hardware systems. However, in systems with different processor types and task affinities, scheduling…

Performance · Computer Science 2017-12-12 Zhuo Chen , Diana Marculescu

We consider offline scheduling algorithms that incorporate speed scaling to address the bicriteria problem of minimizing energy consumption and a scheduling metric. For makespan, we give linear-time algorithms to compute all non-dominated…

Data Structures and Algorithms · Computer Science 2007-05-23 David P. Bunde
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