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We study the problem of scheduling maintenance on arcs of a capacitated network so as to maximize the total flow from a source node to a sink node over a set of time periods. Maintenance on an arc shuts down the arc for the duration of the…

Data Structures and Algorithms · Computer Science 2017-02-09 Natashia Boland , Thomas Kalinowski , Simranjit Kaur

We consider a problem that marries network flows and scheduling, motivated by the need to schedule maintenance activities in infrastructure networks, such as rail or general logistics networks. Network elements must undergo regular…

Optimization and Control · Mathematics 2015-06-23 Natashia Boland , Thomas Kalinowski , Simranjit Kaur

We consider the single machine scheduling problem with job-dependent machine deterioration. In the problem, we are given a single machine with an initial non-negative maintenance level, and a set of jobs each with a non-preemptive…

Data Structures and Algorithms · Computer Science 2017-02-23 Wenchang Luo , Yao Xu , Weitian Tong , Guohui Lin

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time;…

Data Structures and Algorithms · Computer Science 2017-02-01 Fidaa Abed , Lin Chen , Yann Disser , Martin Groß , Nicole Megow , Julie Meißner , Alexander T. Richter , Roman Rischke

We address the problem of scheduling jobs with non-identical sizes and distinct processing times on a single batch processing machine, aiming at minimizing the makespan. The extensive literature on this NP-hard problem mostly focuses on…

Optimization and Control · Mathematics 2021-06-03 Renan Spencer Trindade , Olinto C. B. de Araujo , Marcia Fampa

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

Discrete Mathematics · Computer Science 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

Data Structures and Algorithms · Computer Science 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

We study the computational complexity of scheduling jobs on a single speed-scalable processor with the objective of capturing the trade-off between the (weighted) flow time and the energy consumption. This trade-off has been extensively…

Data Structures and Algorithms · Computer Science 2026-02-13 Antonios Antoniadis , Denise Graafsma , Ruben Hoeksma , Maria Vlasiou

We consider the problem of scheduling a set of jobs on a set of identical parallel machines, with the aim of minimizing the total weighted completion time. The problem has been solved in the literature with a number of mathematical…

Data Structures and Algorithms · Computer Science 2020-06-24 Arthur Kramer , Mauro Dell'Amico , Manuel Iori

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

Real-time end-to-end task scheduling in networked control systems (NCSs) requires the joint consideration of both network and computing resources to guarantee the desired quality of service (QoS). This paper introduces a new model for…

Networking and Internet Architecture · Computer Science 2022-10-21 Peng Wu , Chenchen Fu , Tianyu Wang , Minming Li , Yingchao Zhao , Chun Jason Xue , Song Han

Rescheduling problems arise in a variety of situations where a previously planned schedule needs to be adjusted to deal with unforeseen events. A common problem is the arrival of new orders, i.e. jobs, which have to be integrated into the…

Discrete Mathematics · Computer Science 2025-07-10 Elena Rener , Fabio Salassa , Vincent T'kindt

We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

Consider a scheduling problem in which jobs need to be processed on a single machine. Each job has a weight and is composed of several operations belonging to different families. The machine needs to perform a setup between the processing…

Data Structures and Algorithms · Computer Science 2019-10-22 Alexander Mäcker , Friedhelm Meyer auf der Heide , Simon Pukrop

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

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

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

The problem of scheduling non-simultaneously released jobs with due dates on a single machine with the objective to minimize the maximum job lateness is known to be strongly NP-hard. Here we consider an extended model in which the…

Optimization and Control · Mathematics 2023-06-16 Nodari Vakhania , Frank Werner , Alejandro Reynoso

Dynamic network flows, sometimes called flows over time, extend the notion of network flows to include a transit time for each edge. While Ford and Fulkerson showed that certain dynamic flow problems can be solved via a reduction to static…

Discrete Mathematics · Computer Science 2023-02-16 Thomas Bläsius , Adrian Feilhauer , Jannik Westenfelder

Given a system model where machines have distinct speeds and power ratings but are otherwise compatible, we consider various problems of scheduling under resource constraints on the system which place the restriction that not all machines…

Data Structures and Algorithms · Computer Science 2019-02-08 Mohammed Haroon Dupty , Pragati Agrawal , Shrisha Rao
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