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相关论文: Scheduling jobs with release dates on identical pa…

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We consider a basic problem of preemptive scheduling of $n$ non-simultaneously released jobs on a group of $m$ unrelated parallel machines so as to minimize maximum job completion time, the makespan. In the scheduling literature, the…

数据结构与算法 · 计算机科学 2022-05-06 Nodari Vakhania

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 consider a single machine scheduling problem that seeks to minimize a generalized cost function: given a subset of jobs we must order them so as to minimize $\sum f_j(C_j)$, where $C_j$ is the completion time of job $j$ and $f_j$ is a…

数据结构与算法 · 计算机科学 2016-12-14 Julián Mestre , José Verschae

We study the early work scheduling problem on identical parallel machines in order to maximize the total early work, i.e., the parts of non-preemptive jobs executed before a common due date. By preprocessing and constructing an auxiliary…

数据结构与算法 · 计算机科学 2020-07-27 Weidong Li

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…

数据结构与算法 · 计算机科学 2018-08-21 Jatin Batra , Naveen Garg , Amit Kumar

This paper examines scheduling problem denoted as $P|seq, ser|C_{max}$ in Graham's notation; in other words, scheduling of tasks on parallel identical machines ($P$) with sequence-dependent setups ($seq$) each performed by one of the…

计算机科学与博弈论 · 计算机科学 2023-06-01 Vilém Heinz , Antonín Novák , Marek Vlk , Zdeněk Hanzálek

The interval scheduling problem is one variant of the scheduling problem. In this paper, we propose a novel variant of the interval scheduling problem, whose definition is as follows: given jobs are specified by their {\em release times},…

数据结构与算法 · 计算机科学 2018-05-16 Koji M. Kobayashi

This paper considers parallel machine scheduling with incompatibilities between jobs. The jobs form a graph and no two jobs connected by an edge are allowed to be assigned to the same machine. In particular, we study the case where the…

计算复杂性 · 计算机科学 2021-03-16 Klaus Jansen , Alexandra Lassota , Marten Maack , Tytus Pikies

We investigate deterministic non-preemptive online scheduling with delayed commitment for total completion time minimization on parallel identical machines. In this problem, jobs arrive one-by-one and their processing times are revealed…

数据结构与算法 · 计算机科学 2022-07-19 Uwe Schwiegelshohn

We consider the two-parallel machines scheduling problem, with the aim of minimizing the maximum lateness and the makespan. Formally, the problem is defined as follows. We have to schedule a set J of n jobs on two identical machines. Each…

数据结构与算法 · 计算机科学 2018-03-01 Gais Alhadi , Imed Kacem , Pierre Laroche , Izzeldin M. Osman

We consider the uniform parallel machines scheduling problem in the context of optimistic bilevel optimization, where two speed options are considered. In this scenario, the leader aims to minimize the weighted number of tardy jobs, while…

We study the approximability of two related machine scheduling problems. In the late work minimization problem, there are identical parallel machines and the jobs have a common due date. The objective is to minimize the late work, defined…

数据结构与算法 · 计算机科学 2020-04-27 Peter Gyorgyi , Tamas Kis

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…

操作系统 · 计算机科学 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

Given n jobs with release dates, deadlines and processing times we consider the problem of scheduling them on m parallel machines so as to minimize the total energy consumed. Machines can enter a sleep state and they consume no energy in…

数据结构与算法 · 计算机科学 2019-10-01 Antonios Antoniadis , Naveen Garg , Gunjan Kumar , Nikhil Kumar

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

最优化与控制 · 数学 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

This paper studies the bicriteria problem of scheduling $n$ jobs on a serial-batch machine to minimize makespan and maximum cost simultaneously. A serial-batch machine can process up to $b$ jobs as a batch, where $b$ is known as the batch…

数据结构与算法 · 计算机科学 2025-04-01 Shuguang Li , Zhenxin Wen , Jing Wei

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 addresses a production scheduling problem derived from an industrial use case, focusing on unrelated parallel machine scheduling with the personnel availability constraint. The proposed model optimizes the production plan over a…

人工智能 · 计算机科学 2024-02-27 Maziyar Khadivi , Mostafa Abbasi , Todd Charter , Homayoun Najjaran

We consider scheduling problems for unit jobs with release times, where the number or size of the gaps in the schedule is taken into consideration, either in the objective function or as a constraint. Except for a few papers on energy…

数据结构与算法 · 计算机科学 2020-07-21 Marek Chrobak , Mordecai Golin , Tak-Wah Lam , Dorian Nogneng

Due to the ubiquity of batch data processing in cloud computing, the related problem of scheduling malleable batch tasks and its extensions have received significant attention recently. In this paper, we consider a fundamental model where a…

分布式、并行与集群计算 · 计算机科学 2018-02-06 Xiaohu Wu , Patrick Loiseau