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相关论文: Single-machine scheduling with an external resourc…

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We study the problem of scheduling jobs on parallel machines minimizing the total completion time, with each job using exactly one resource. First, we derive fundamental properties of the problem and show that the problem is polynomially…

离散数学 · 计算机科学 2018-11-19 T. Janssen , C. Swennenhuis , A. Bitar , T. Bosman , D. Gijswijt , L. van Iersel , S. Dauzére-Pérès , C. Yugma

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.…

数据结构与算法 · 计算机科学 2019-11-28 Kristóf Bérczi , Tamás Király , Simon Omlor

The NP-hard MATERIAL CONSUMPTION SCHEDULING Problem and closely related problems have been thoroughly studied since the 1980's. Roughly speaking, the problem deals with minimizing the makespan when scheduling jobs that consume non-renewable…

计算机科学与博弈论 · 计算机科学 2021-03-15 Matthias Bentert , Robert Bredereck , Péter Györgyi , Andrzej Kaczmarczyk , Rolf Niedermeier

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…

离散数学 · 计算机科学 2025-07-10 Elena Rener , Fabio Salassa , Vincent T'kindt

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

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…

数据结构与算法 · 计算机科学 2017-02-23 Wenchang Luo , Yao Xu , Weitian Tong , Guohui Lin

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

In this work, we study the single machine scheduling problem with uncertain release times and processing times of jobs. We adopt a robust scheduling approach, in which the measure of robustness to be minimized for a given sequence of jobs…

最优化与控制 · 数学 2014-11-27 Nitish Umang , Alan L. Erera , Michel Bierlaire

A new class of multi agent single machine scheduling problems is introduced, where each job is associated with a self interested agent with a utility function decreasing in completion time. We aim to achieve a fair solution by maximizing…

计算机科学与博弈论 · 计算机科学 2026-04-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy

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…

数据结构与算法 · 计算机科学 2012-12-11 Frans Schalekamp , Rene Sitters , Suzanne van der Ster , Leen Stougie , Victor Verdugo , Anke van Zuylen

We consider a scheduling problem where machines need to be rented from the cloud in order to process jobs. There are two types of machines available which can be rented for machine-type dependent prices and for arbitrary durations. However,…

数据结构与算法 · 计算机科学 2016-12-22 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

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

In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally captures scenarios where costs fluctuate throughout the day,…

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

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…

数据结构与算法 · 计算机科学 2026-02-13 Antonios Antoniadis , Denise Graafsma , Ruben Hoeksma , Maria Vlasiou

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

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…

最优化与控制 · 数学 2023-06-16 Nodari Vakhania , Frank Werner , Alejandro Reynoso

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…

数据结构与算法 · 计算机科学 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

This paper resolves a long-standing open question in bicriteria scheduling regarding the complexity of a single machine scheduling problem which combines the number of tardy jobs and the maximal tardiness criteria. We use the lexicographic…

数据结构与算法 · 计算机科学 2025-02-17 Klaus Heeger , Danny Hermelin , Michael L. Pinedo , Dvir Shabtay

This paper considers a combination of the joint replenishment problem with single machine scheduling. There is a single resource, which is required by all the jobs, and a job can be started at time point $t$ on the machine if and only the…

数据结构与算法 · 计算机科学 2024-05-03 Péter Györgyi , Tamás Kis , Tímea Tamási
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