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In the scheduling with non-uniform communication delay problem, the input is a set of jobs with precedence constraints. Associated with every precedence constraint between a pair of jobs is a communication delay, the time duration the…

Data Structures and Algorithms · Computer Science 2021-05-04 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Sai Sandeep , Jakub Tarnawski , Yihao Zhang

We consider a fundamental online scheduling problem in which jobs with processing times and deadlines arrive online over time at their release dates. The task is to determine a feasible preemptive schedule on a single or multiple possibly…

Data Structures and Algorithms · Computer Science 2021-12-02 Franziska Eberle , Nicole Megow , Kevin Schewior

In moldable job scheduling, we are provided $m$ identical machines and $n$ jobs that can be executed on a variable number of machines. The execution time of each job depends on the number of machines assigned to execute that job. For the…

Data Structures and Algorithms · Computer Science 2026-01-07 Klaus Jansen , Felix Ohnesorge

We consider single-machine scheduling problems that are natural generalizations or variations of the min-sum set cover problem and the min-sum vertex cover problem. For each of these problems, we give new approximation algorithms. Some of…

Data Structures and Algorithms · Computer Science 2020-01-22 Felix Happach , Andreas S. Schulz

We study a class of combinatorial scheduling problems characterized by a particular type of constraint often associated with electrical power or gas energy. This constraint appears in several practical applications and is expressed as a sum…

Data Structures and Algorithms · Computer Science 2023-12-27 Trung Thanh Nguyen , Khaled Elbassioni , Areg Karapetyan , Majid Khonji

The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

Data Structures and Algorithms · Computer Science 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

In the weighted flow-time problem on a single machine, we are given a set of n jobs, where each job has a processing requirement p_j, release date r_j and weight w_j. The goal is to find a preemptive schedule which minimizes the sum of…

Data Structures and Algorithms · Computer Science 2018-08-21 Jatin Batra , Naveen Garg , Amit Kumar

The active-time scheduling problem considers the problem of scheduling preemptible jobs with windows (release times and deadlines) on a parallel machine that can schedule up to $g$ jobs during each timestep. The goal in the active-time…

Data Structures and Algorithms · Computer Science 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

We study the classical problem of minimizing the total weighted completion time on a fixed set of $m$ identical machines working in parallel, the $Pm||\sum w_jC_j$ problem in the standard three field notation for scheduling problems. This…

Data Structures and Algorithms · Computer Science 2025-02-20 Danny Hermelin , Tomohiro Koana , Dvir Shabtay

We study the problem of non-preemptively scheduling $n$ jobs, each job $j$ with a release time $t_j$, a deadline $d_j$, and a processing time $p_j$, on $m$ parallel identical machines. Cieliebak et al. (2004) considered the two constraints…

Data Structures and Algorithms · Computer Science 2017-05-25 René van Bevern , Rolf Niedermeier , Ondřej Suchý

We study the unweighted throughput scheduling problem on a single machine in the preemption-revoke model, where a running job may be aborted at any time, but all progress is permanently lost and the job cannot be restarted. Each job…

Data Structures and Algorithms · Computer Science 2025-10-20 Changdao He

This paper proposes a new scheduler applying the concept of non-uniform laxity to Earliest deadline first (EDF) approach for aperiodic tasks. This scheduler improves task utilisation (Execution time / deadline) and also increases the number…

Performance · Computer Science 2009-06-23 K Pradheep Kumar , A P Shanthi

Modern platforms are using accelerators in conjunction with standard processing units in order to reduce the running time of specific operations, such as matrix operations, and improve their performance. Scheduling on such hybrid platforms…

Data Structures and Algorithms · Computer Science 2020-02-11 Vincent Fagnon , Imed Kacem , Giorgio Lucarelli , Bertrand Simon

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 the classic problem of scheduling jobs with precedence constraints on identical machines to minimize makespan, in the presence of communication delays. In this setting, denoted by $\mathsf{P} \mid \mathsf{prec}, c \mid…

Data Structures and Algorithms · Computer Science 2020-04-22 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Jakub Tarnawski , Yihao Zhang

Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches…

Machine Learning · Computer Science 2025-10-08 Nikolai Antonov , Prěmysl Šůcha , Mikoláš Janota , Jan Hůla

Minimizing the sum of weighted completion times on $m$ identical parallel machines is one of the most important and classical scheduling problems. For the stochastic variant where processing times of jobs are random variables, M\"ohring,…

Discrete Mathematics · Computer Science 2018-04-30 Sven Jäger , Martin Skutella

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

We study the parameterized complexity of scheduling unit-time jobs on parallel, identical machines under generalized precedence constraints for minimization of the makespan and the sum of completion times. In our setting, each job is…

Optimization and Control · Mathematics 2025-11-18 Christina Büsing , Maurice Draeger , Corinna Mathwieser

We consider a natural generalization of classical scheduling problems in which using a time unit for processing a job causes some time-dependent cost which must be paid in addition to the standard scheduling cost. We study the scheduling…

Data Structures and Algorithms · Computer Science 2018-12-03 Lin Chen , Nicole Megow , Roman Rischke , Leen Stougie , José Verschae
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