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In generalized malleable scheduling, jobs can be allocated and processed simultaneously on multiple machines so as to reduce the overall makespan of the schedule. The required processing time for each job is determined by the joint…

Discrete Mathematics · Computer Science 2021-11-22 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

We consider the uniform parallel machines scheduling problem in the context of optimistic bilevel optimization, where two speed options are considered. In this scenario, the leader aims to minimize the weighted number of tardy jobs, while…

Optimization and Control · Mathematics 2026-03-06 Quentin Schau , Olivier Ploton , Vincent T'kindt , Han Hoogeveen , Federico Della Croce , Jippe Hoogeveen

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

We study the problem of scheduling jobs on fault-prone machines communicating via a shared channel, also known as multiple-access channel. We have $n$ arbitrary length jobs to be scheduled on $m$ identical machines, $f$ of which are prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Marek Klonowski , Dariusz R. Kowalski , Jarosław Mirek , Prudence W. H. Wong

We consider the problem of minimizing the total processing time of tardy jobs on a single machine. This is a classical scheduling problem, first considered by [Lawler and Moore 1969], that also generalizes the Subset Sum problem. Recently,…

Data Structures and Algorithms · Computer Science 2023-01-18 Baruch Schieber , Pranav Sitaraman

In the classical problem of scheduling on unrelated parallel machines, a set of jobs has to be assigned to a set of machines. The jobs have a processing time depending on the machine and the goal is to minimize the makespan, that is the…

Data Structures and Algorithms · Computer Science 2017-12-07 Klaus Jansen , Marten Maack

Motivated by mail delivery scheduling problems arising in Royal Mail, we study a generalization of the fundamental makespan scheduling P||Cmax problem which we call the bounded job start scheduling problem. Given a set of jobs, each…

Data Structures and Algorithms · Computer Science 2021-02-09 Dimitrios Letsios , Jeremy T. Bradley , Suraj G , Ruth Misener , Natasha Page

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

Generalizing many well-known and natural scheduling problems, scheduling with job-specific cost functions has gained a lot of attention recently. In this setting, each job incurs a cost depending on its completion time, given by a private…

Data Structures and Algorithms · Computer Science 2014-03-07 Wiebke Höhn , Julián Mestre , Andreas Wiese

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

In this work we revisit the elementary scheduling problem $1||\sum p_j U_j$. The goal is to select, among $n$ jobs with processing times and due dates, a subset of jobs with maximum total processing time that can be scheduled in sequence…

Data Structures and Algorithms · Computer Science 2025-07-23 Nick Fischer , Leo Wennmann

As the gap between compute and I/O performance tends to grow, modern High-Performance Computing (HPC) architectures include a new resource type: an intermediate persistent fast memory layer, called burst buffers. This is just one of many…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-01 Adrian Naruszko , Bartłomiej Przybylski , Krzysztof Rzadca

We study the problem of preemptive scheduling of n equal-length jobs with given release times on m identical parallel machines. The objective is to minimize the average flow time. Recently, Brucker and Kravchenko proved that the optimal…

Data Structures and Algorithms · Computer Science 2007-05-23 Philippe Baptiste , Marek Chrobak , Christoph Durr , Francis Sourd

The paper considers single-machine scheduling problems with a non-renewable resource. In this setting, we are given a set jobs, each of which is characterized by a processing time, a weight, and the job also has some resource requirement.…

Data Structures and Algorithms · Computer Science 2019-11-28 Kristóf Bérczi , Tamás Király , Simon Omlor

In this paper we study the classical problem of throughput maximization. In this problem we have a collection $J$ of $n$ jobs, each having a release time $r_j$, deadline $d_j$, and processing time $p_j$. They have to be scheduled…

Data Structures and Algorithms · Computer Science 2020-02-14 Dylan Hyatt-Denesik , Mirmahdi Rahgoshay , Mohammad R. Salavatipour

One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra, Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelated machines, i.e., job j requires time p_{ij} if processed on…

Data Structures and Algorithms · Computer Science 2011-03-22 Ola Svensson

We present a unified framework for minimizing average completion time for many seemingly disparate online scheduling problems, such as the traveling repairperson problems (TRP), dial-a-ride problems (DARP), and scheduling on unrelated…

Data Structures and Algorithms · Computer Science 2021-05-18 Marcin Bienkowski , Artur Kraska , Hsiang-Hsuan Liu

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

We consider a type of optimal switching problems with non-uniform execution delays and ramping. Such problems frequently occur in the operation of economical and engineering systems. We first provide a solution to the problem by applying a…

Optimization and Control · Mathematics 2017-02-15 Magnus Perninge

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