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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…

离散数学 · 计算机科学 2014-01-15 Natashia Boland , Thomas Kalinowski , Reena Kapoor , Simranjit Kaur

This paper studies the complexity of single-machine scheduling with an external resource, which is rented for a non-interrupted period. Jobs that need this external resource are executed only when the external resource is available. There…

数据结构与算法 · 计算机科学 2020-09-14 Dirk Briskorn , Morteza Davari , Jannik Matuschke

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…

离散数学 · 计算机科学 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

The Windows Scheduling Problem, also known as the Pinwheel Problem, is to schedule periodic jobs subject to their processing frequency demands. Instances are given as a set of jobs that have to be processed infinitely often such that the…

计算复杂性 · 计算机科学 2014-10-28 Tobias Jacobs , Salvatore Longo

This paper addresses the scheduling problem on two identical parallel machines with a single server in charge of loading and unloading operations of jobs. Each job has to be loaded by the server before being processed on one of the two…

最优化与控制 · 数学 2023-06-30 Abdelhak Elidrissi , Rachid Banmansour , Keramat Hasani , Frank Werner

In this paper, we study an NP-hard problem of a single machine scheduling minimizing the makespan, where the mixed-critical tasks with an uncertain processing time are scheduled. We show the derivation of F-shaped tasks from the probability…

最优化与控制 · 数学 2016-10-25 Antonin Novak , Premysl Sucha , Zdenek Hanzalek

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

数据结构与算法 · 计算机科学 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

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…

数据结构与算法 · 计算机科学 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

In this paper we consider single machine scheduling problems with additional non-renewable resource constraints. Examples for non-renewable resources include raw materials, energy, or money. Usually they have an initial stock and…

最优化与控制 · 数学 2020-04-03 Péter Györgyi , Tamás Kis

We address the tactical fixed job scheduling problem with spread-time constraints. In such a problem, there are a fixed number of classes of machines and a fixed number of groups of jobs. Jobs of the same group can only be processed by…

数据结构与算法 · 计算机科学 2014-02-12 Shuyu Zhou , Xiandong Zhang , Bo Chen , Steef van de Velde

This paper studies a single-machine scheduling problem with a non-renewable resource (NR-SSP) and total weighted completion time criterion. The non-renewable resource is consumed when the machine starts processing a job. We consider the…

数据结构与算法 · 计算机科学 2021-05-12 Susumu Hashimoto , Shinji Mizuno

The paper is concerned with the two-machine flow shop, where each job requires an additional resource (referred to as storage space) from the start of its first operation till the end of its second operation. The storage requirement of a…

最优化与控制 · 数学 2021-06-29 Alexander Kononov , Julia Memar , Yakov Zinder

We are concerned with the problem of scheduling $n$ jobs onto $m$ identical machines. Each machine has to be in operation for a prescribed time, and the objective is to minimize the total machine working time. Precisely, let $c_i$ be the…

数据结构与算法 · 计算机科学 2025-07-22 Yi-Ting Hsieh , Mong-Jen Kao , Jhong-Yun Liu , Hung-Lung Wang

In this paper we consider the coupled task scheduling problem with exact delay times on a single machine with the objective of minimizing the total completion time of the jobs. We provide constant-factor approximation algorithms for several…

最优化与控制 · 数学 2024-05-03 David Fischer , Péter Györgyi

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…

数据结构与算法 · 计算机科学 2019-10-22 Alexander Mäcker , Friedhelm Meyer auf der Heide , Simon Pukrop

We address single machine problems with optional jobs - rejection, studied recently in Zhang et al. [21] and Cao et al. [2]. In these papers, the authors focus on minimizing regular performance measures, i.e., functions that are…

离散数学 · 计算机科学 2018-02-02 Baruch Mor , Dana Shapira

We consider a recently introduced fair repetitive scheduling problem involving a set of clients, each asking for their associated job to be daily scheduled on a single machine across a finite planning horizon. The goal is to determine a job…

数据结构与算法 · 计算机科学 2026-01-01 Danny Hermelin , Danny Segev , Dvir Shabtay

In this paper we address the problem of allocating the efforts of a collection of repairmen to a number of deteriorating machines in order to reduce operation costs and to mitigate the cost (and likelihood) of unexpected failures.…

离散数学 · 计算机科学 2024-01-26 Diego Ruiz-Hernandez , Jesús María Pinar-Pérez , David Delgado-Gómez

This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a…

数据结构与算法 · 计算机科学 2019-04-23 Benjamin Moseley

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

分布式、并行与集群计算 · 计算机科学 2021-03-10 Pragati Agrawal , Shrisha Rao