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Consider the many shared resource scheduling problem where jobs have to be scheduled on identical parallel machines with the goal of minimizing the makespan. However, each job needs exactly one additional shared resource in order to be…

Data Structures and Algorithms · Computer Science 2022-10-05 Max A. Deppert , Klaus Jansen , Marten Maack , Simon Pukrop , Malin Rau

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

This paper examines scheduling problem denoted as $P|seq, ser|C_{max}$ in Graham's notation; in other words, scheduling of tasks on parallel identical machines ($P$) with sequence-dependent setups ($seq$) each performed by one of the…

Computer Science and Game Theory · Computer Science 2023-06-01 Vilém Heinz , Antonín Novák , Marek Vlk , Zdeněk Hanzálek

Scheduling jobs with given processing times on identical parallel machines so as to minimize their total completion time is one of the most basic scheduling problems. We study interesting generalizations of this classical problem involving…

Data Structures and Algorithms · Computer Science 2024-03-01 Thomas Bosman , Martijn van Ee , Ekin Ergen , Csanad Imreh , Alberto Marchetti-Spaccamela , Martin Skutella , Leen Stougie

Due to the ubiquity of batch data processing in cloud computing, the related problem of scheduling malleable batch tasks and its extensions have received significant attention recently. In this paper, we consider a fundamental model where a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-06 Xiaohu Wu , Patrick Loiseau

We study the problem of scheduling a general computational DAG on multiple processors in a 2-level memory hierarchy. This setting is a natural generalization of several prominent models in the literature, and it simultaneously captures…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-24 Pál András Papp , Toni Böhnlein , A. N. Yzelman

The problem considered is the non-preemptive scheduling of independent jobs that consume a resource (which is non-renewable and replenished regularly) on parallel uniformly related machines. The input defines the speed of machines, size of…

Data Structures and Algorithms · Computer Science 2021-08-10 G. Jaykrishnan , Asaf Levin

This paper mainly focuses on a resource leveling variant of a two-processor scheduling problem. The latter problem is to schedule a set of dependent UET jobs on two identical processors with minimum makespan. It is known to be…

Computational Complexity · Computer Science 2024-06-13 Pascale Bendotti , Luca Brunod Indrigo , Philippe Chrétienne , Bruno Escoffier

In this paper, we consider the problem of scheduling jobs on parallel identical machines, where the processing times of jobs are uncertain: only interval bounds of processing times are known. The optimality criterion of a schedule is the…

Data Structures and Algorithms · Computer Science 2016-03-25 Maciej Drwal , Roman Rischke

We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

Optimization and Control · Mathematics 2021-07-22 Alexander Kononov , Yulia Kovalenko

The task of finding efficient production schedules for parallel machines is a challenge that arises in most industrial manufacturing domains. There is a large potential to minimize production costs through automated scheduling techniques,…

Artificial Intelligence · Computer Science 2025-12-16 Christoph Einspieler , Matthias Horn , Marie-Louise Lackner , Patrick Malik , Nysret Musliu , Felix Winter

We consider the weighted completion time minimization problem for capacitated parallel machines, which is a fundamental problem in modern cloud computing environments. We study settings in which the processed jobs may have varying duration,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-28 Ilan Reuven Cohen , Izack Cohen , Iyar Zaks

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

Data Structures and Algorithms · Computer Science 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

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

Consider a set of jobs connected to a directed acyclic task graph with a fixed source and sink. The edges of this graph model precedence constraints and the jobs have to be scheduled with respect to those. We introduce the Server Cloud…

Data Structures and Algorithms · Computer Science 2023-02-20 Marten Maack , Friedhelm Meyer auf der Heide , Simon Pukrop

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

Distributed computing systems often need to consider the scheduling problem involving a collection of highly dependent data-processing tasks that must work in concert to achieve mission-critical objectives. This paper considers the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-08 Vaneet Aggarwal , Tian Lan , Suresh Subramaniam , Maotong Xu

A multiple server setting is considered, where each server has tunable speed, and increasing the speed incurs an energy cost. Jobs arrive to a single queue, and each job has two types of sub-tasks, map and reduce, and a {\bf precedence}…

Data Structures and Algorithms · Computer Science 2021-05-20 Rahul Vaze , Jayakrishnan Nair

We introduce a natural but seemingly yet unstudied generalization of the problem of scheduling jobs on a single machine so as to minimize the number of tardy jobs. Our generalization lies in simultaneously considering several instances of…

Discrete Mathematics · Computer Science 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

In this work, we study the computational (parameterized) complexity of $P \mid r_j, p_j=p \mid \sum_j w_j U_j$. Here, we are given $m$ identical parallel machines and $n$ jobs with equal processing time, each characterized by a release…

Data Structures and Algorithms · Computer Science 2024-04-23 Klaus Heeger , Hendrik Molter