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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…

分布式、并行与集群计算 · 计算机科学 2021-04-08 Vaneet Aggarwal , Tian Lan , Suresh Subramaniam , Maotong Xu

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…

最优化与控制 · 数学 2021-07-22 Alexander Kononov , Yulia Kovalenko

This paper presents a novel idea for the general case of the Common Due-Date (CDD) scheduling problem. The problem is about scheduling a certain number of jobs on a single or parallel machines where all the jobs possess different processing…

数据结构与算法 · 计算机科学 2014-05-07 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

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,…

分布式、并行与集群计算 · 计算机科学 2022-06-28 Ilan Reuven Cohen , Izack Cohen , Iyar Zaks

We study the problem of preemptive scheduling n jobs with given release times on m identical parallel machines. The objective is to minimize the average flow time. We show that when all jobs have equal processing times then the problem can…

数据结构与算法 · 计算机科学 2007-05-23 Philippe Baptiste , Peter Brucker , Marek Chrobak , Christoph Durr , Svetlana A. Kravchenko , Francis Sourd

This paper studies the application of the simulated annealing metaheuristic on the identical parallel machine scheduling problem, a variant of the broader optimal job scheduling problem. In the identical parallel machine scheduling problem,…

分布式、并行与集群计算 · 计算机科学 2024-10-17 Jiaxing Li , David Perkins

We consider the $1||\sum w_J U_j$ problem, the problem of minimizing the weighted number of tardy jobs on a single machine. This problem is one of the most basic and fundamental problems in scheduling theory, with several different…

数据结构与算法 · 计算机科学 2024-01-04 Klaus Heeger , Danny Hermelin

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

In this paper we study a proportionate flow shop of batching machines with release dates and a fixed number $m \geq 2$ of machines. The scheduling problem has so far barely received any attention in the literature, but recently its…

数据结构与算法 · 计算机科学 2020-11-30 Christoph Hertrich , Christian Weiß , Heiner Ackermann , Sandy Heydrich , Sven O. Krumke

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…

数据结构与算法 · 计算机科学 2024-03-01 Thomas Bosman , Martijn van Ee , Ekin Ergen , Csanad Imreh , Alberto Marchetti-Spaccamela , Martin Skutella , Leen Stougie

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

We are given a set of $n$ jobs and a single processor that can vary its speed dynamically. Each job $J_j$ is characterized by its processing requirement (work) $p_j$, its release date $r_j$ and its deadline $d_j$. We are also given a budget…

数据结构与算法 · 计算机科学 2013-09-09 Eric Angel , Evripidis Bampis , Vincent Chau

We propose a Boolean Linear Programming model for the preemptive single machine scheduling problem with equal processing times, arbitrary release dates and weights(priorities) minimizing the total weighted completion time. Almost always an…

最优化与控制 · 数学 2020-12-16 Artem Fomin , Boris Goldengorin

We consider the online busy time scheduling problem motivated by energy and cost minimization in cloud computing systems. The input is a set of jobs $J=\{1,\dots,n\}$ where each job $j\in J$ has a release time $r_j$, deadline $d_j$, and…

数据结构与算法 · 计算机科学 2025-10-20 Susanne Albers , G. Wessel van der Heijden

We study shared multi-processor scheduling problem where each job can be executed on its private processor and simultaneously on one of many processors shared by all jobs in order to reduce the job's completion time due to processing time…

离散数学 · 计算机科学 2021-03-05 Dariusz Dereniowski , Wieslaw Kubiak

We study the scheduling of jobs on a single parallel-batching machine with non-identical job sizes and incompatible job families. Jobs from the same family have the same processing time and can be loaded into a batch, as long as the batch…

最优化与控制 · 数学 2021-02-04 Fan Yang , Morteza Davari , Wenchao Wei , Ben Hermans , Roel Leus

We are given a set of $n$ jobs that have to be executed on a set of $m$ speed-scalable machines that can vary their speeds dynamically using the energy model introduced in [Yao et al., FOCS'95]. Every job $j$ is characterized by its release…

数据结构与算法 · 计算机科学 2014-02-18 Eric Angel , Evripidis Bampis , Vincent Chau , Nguyen Kim Thang

In this paper, we are interested in parallel identical machine scheduling problems with preemption and release dates in case of a regular criterion to be minimized. We show that solutions having a permutation flow shop structure are…

离散数学 · 计算机科学 2013-09-19 D. Prot , O. Bellenguez-Morineau , C. Lahlou

We consider the following shared-resource scheduling problem: Given a set of jobs $J$, for each $j\in J$ we must schedule a job-specific processing volume of $v_j>0$. A total resource of $1$ is available at any time. Jobs have a resource…

数据结构与算法 · 计算机科学 2023-10-11 Christoph Damerius , Peter Kling , Florian Schneider

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

数据结构与算法 · 计算机科学 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin