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The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

This work studies fixed priority (FP) scheduling of real-time jobs with end-to-end deadlines in a distributed system. Specifically, given a multi-stage pipeline with multiple heterogeneous resources of the same type at each stage, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-21 Niraj Kumar , Chuanchao Gao , Arvind Easwaran

A heterogeneous architecture composed by a host and an accelerator must frequently deal with situations where several independent tasks are available to be offloaded onto the accelerator. These tasks can be generated by concurrent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 A. J. Lázaro-Muñoz , J. M. González-Linares , J. Gómez-Luna , N. Guil

We study classical deadline-based preemptive scheduling of tasks in a computing environment equipped with both dynamic speed scaling and sleep state capabilities: Each task is specified by a release time, a deadline and a processing volume,…

Data Structures and Algorithms · Computer Science 2014-07-04 Antonios Antoniadis , Chien-Chung Huang , Sebastian Ott

Interval scheduling is a basic problem in the theory of algorithms and a classical task in combinatorial optimization. We develop a set of techniques for partitioning and grouping jobs based on their starting and ending times, that enable…

Data Structures and Algorithms · Computer Science 2023-02-27 Spencer Compton , Slobodan Mitrović , Ronitt Rubinfeld

There has been significant progress in understanding the parallelism inherent to iterative sequential algorithms: for many classic algorithms, the depth of the dependence structure is now well understood, and scheduling techniques have been…

Data Structures and Algorithms · Computer Science 2018-08-14 Dan Alistarh , Trevor Brown , Justin Kopinsky , Giorgi Nadiradze

Designing and implementing efficient parallel priority schedulers is an active research area. An intriguing proposed design is the Multi-Queue: given $n$ threads and $m\ge n$ distinct priority queues, task insertions are performed uniformly…

Data Structures and Algorithms · Computer Science 2021-09-03 Anastasiia Postnikova , Nikita Koval , Giorgi Nadiradze , Dan Alistarh

We study a fundamental online job admission problem where jobs with deadlines arrive online over time at their release dates, and the task is to determine a preemptive single-server schedule which maximizes the number of jobs that complete…

Data Structures and Algorithms · Computer Science 2018-11-21 Lin Chen , Franziska Eberle , Nicole Megow , Kevin Schewior , Cliff Stein

Determining the degree of inherent parallelism in classical sequential algorithms and leveraging it for fast parallel execution is a key topic in parallel computing, and detailed analyses are known for a wide range of classical algorithms.…

Data Structures and Algorithms · Computer Science 2023-04-24 Alexander Fedorov , Diba Hashemi , Giorgi Nadiradze , Dan Alistarh

We study shared processor scheduling of $\textit{multiprocessor}$ weighted jobs where each job can be executed on its private processor and simultaneously on possibly $\textit{many}$ processors shared by all jobs in order to reduce their…

Discrete Mathematics · Computer Science 2024-01-26 Dariusz Dereniowski , Wieslaw Kubiak

Online allocation problems with resource constraints have a rich history in operations research. In this paper, we introduce the \emph{regularized online allocation problem}, a variant that includes a non-linear regularizer acting on the…

Optimization and Control · Mathematics 2021-11-08 Santiago Balseiro , Haihao Lu , Vahab Mirrokni

The parallel machine scheduling problem has been a popular topic for many years due to its theoretical and practical importance. This paper addresses the robust makespan optimization problem on unrelated parallel machine scheduling with…

Optimization and Control · Mathematics 2020-10-23 Chutong Gao , Weihao Wang , Leyuan Shi

We study a scheduling problem in which jobs may be split into parts, where the parts of a split job may be processed simultaneously on more than one machine. Each part of a job requires a setup time, however, on the machine where the job…

Data Structures and Algorithms · Computer Science 2012-12-11 Frans Schalekamp , Rene Sitters , Suzanne van der Ster , Leen Stougie , Victor Verdugo , Anke van Zuylen

In this study, we investigate a scheduling problem on identical machines in which jobs require initial setup before execution. We assume that an algorithm can dynamically form a batch (i.e., a collection of jobs to be processed together)…

Data Structures and Algorithms · Computer Science 2025-07-16 Yasushi Kawase , Kazuhisa Makino , Vinh Long Phan , Hanna Sumita

In the One-Fast-Many-Slow decision problem, introduced by Sheffield and Westover (ITCS '25), a scheduler, with access to one fast machine and infinitely many slow machines, receives a series of tasks and must allocate the work among its…

Data Structures and Algorithms · Computer Science 2026-02-26 John Jeang , Vladimir Podolskii

We analyze the problem of job scheduling with preempting on weighted jobs that can have either linear or exponential penalties. We review relevant literature on the problem and create and describe a few online algorithms that perform…

Data Structures and Algorithms · Computer Science 2023-01-26 Frederick Tang , Fareed Sheriff , Andrew Wang

We investigate multi-organizational scheduling problems, building upon the framework introduced by Pascual et al.[2009]. In this setting, multiple organizations each own a set of identical machines and sequential jobs with distinct…

Computer Science and Game Theory · Computer Science 2025-05-20 Jiehua Chen , Martin Durand , Christian Hatschka

In the problem called single resource constraint scheduling, we are given $m$ identical machines and a set of jobs, each needing one machine to be processed as well as a share of a limited renewable resource $R$. A schedule of these jobs is…

Data Structures and Algorithms · Computer Science 2021-07-06 Klaus Jansen , Malin Rau

This paper considers parallel machine scheduling with incompatibilities between jobs. The jobs form a graph and no two jobs connected by an edge are allowed to be assigned to the same machine. In particular, we study the case where the…

Computational Complexity · Computer Science 2021-03-16 Klaus Jansen , Alexandra Lassota , Marten Maack , Tytus Pikies

We study the scheduling problem of makespan minimization while taking machine conflicts into account. Machine conflicts arise in various settings, e.g., shared resources for pre- and post-processing of tasks or spatial restrictions. In this…

Discrete Mathematics · Computer Science 2021-11-15 Moritz Buchem , Linda Kleist , Daniel Schmidt genannt Waldschmidt