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We describe in this paper a new method for building an efficient algorithm for scheduling jobs in a cluster. Jobs are considered as parallel tasks (PT) which can be scheduled on any number of processors. The main feature is to consider two…

分布式、并行与集群计算 · 计算机科学 2016-08-16 Pierre-Francois Dutot , Lionel Eyraud , Grégory Mounié , Denis Trystram

The current landscape of massive production industries is undergoing significant transformations driven by emerging customer trends and new smart manufacturing technologies. One such change is the imperative to implement mass customization,…

神经与进化计算 · 计算机科学 2024-08-13 Diego Rossit , Daniel Rossit , Sergio Nesmachnow

We consider the classical scheduling problem on parallel identical machines to minimize the makespan, and achieve the following results under the Exponential Time Hypothesis (ETH) 1. The scheduling problem on a constant number $m$ of…

计算复杂性 · 计算机科学 2013-10-02 Lin Chen , Klaus Jansen , Guochuan Zhang

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

数值分析 · 数学 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

In this work, we study the computational (parameterized) complexity of $P \mid r_j, p_j=p \mid \sum_j w_j U_j$. Here, we are given $m$ identical parallel machines and $n$ jobs with equal processing time, each characterized by a release…

数据结构与算法 · 计算机科学 2024-04-23 Klaus Heeger , Hendrik Molter

Motivated by the current research in data centers and cloud computing, we study the problem of scheduling a set of two-stage jobs on multiple two-stage flowshops. A new formulation for configurations of such scheduling is proposed, which…

数据结构与算法 · 计算机科学 2018-01-30 Guangwei Wu , Jianer Chen , Jianxin Wang

In inland waterways, the efficient management of water lock operations impacts the level of congestion and the resulting uncertainty in inland waterway transportation. To achieve reliable and efficient traffic, schedules should be easy to…

数据结构与算法 · 计算机科学 2025-06-24 Julian Golak , Alexander Grigoriev , Freija van Lent , Tom van der Zanden

We consider a generalization of the unsplittable maximum two-commodity flow problem on undirected graphs where each commodity $i\in{1,2}$ can be split into a bounded number $k_i$ of equally-sized chunks that can be routed on different…

数据结构与算法 · 计算机科学 2011-11-22 Elke Eisenschmidt , Utz-Uwe Haus

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

We study the problem of scheduling $n$ independent moldable tasks on $m$ processors that arises in large-scale parallel computations. When tasks are monotonic, the best known result is a $(\frac{3}{2}+\epsilon)$-approximation algorithm for…

数据结构与算法 · 计算机科学 2023-03-30 Xiaohu Wu , Patrick Loiseau

The open shop problem is to find a minimum makespan schedule to process each job $J_i$ on each machine $M_q$ for $p_{iq}$ time such that, at any time, each machine processes at most one job and each job is processed by at most one machine.…

离散数学 · 计算机科学 2017-04-27 René van Bevern , Artem V. Pyatkin

Coordinating production and material transfers is increasingly important in modern manufacturing systems equipped with mobile transfer robots, known as transbots. This study considers a flexible job shop environment in which heterogeneous…

最优化与控制 · 数学 2026-04-28 Arnovi Moinuddin , El Mehdi Er Raqabi , Pascal Van Hentenryck

The non-preemptive job scheduling problem with release times and deadlines on a single machine is fundamental to many scheduling problems. We parameterize this problem by the set of job lengths the jobs can have. The case where all job…

计算复杂性 · 计算机科学 2017-11-01 Jan Elffers , Mathijs de Weerdt

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…

最优化与控制 · 数学 2015-06-23 Natashia Boland , Thomas Kalinowski , Simranjit Kaur

We study the classical problem of minimizing the total weighted completion time on a fixed set of $m$ identical machines working in parallel, the $Pm||\sum w_jC_j$ problem in the standard three field notation for scheduling problems. This…

数据结构与算法 · 计算机科学 2025-02-20 Danny Hermelin , Tomohiro Koana , Dvir Shabtay

The Chance-Constrained Parallel Machine Scheduling Problem (CC-PMSP) assigns jobs with uncertain processing times to machines, ensuring that each machine's availability constraints are met with a certain probability. We present a…

最优化与控制 · 数学 2025-04-30 Nicolás Casassus , Margarita Castro , Gustavo Angulo

Chemotherapy appointment scheduling is a challenging problem due to the uncertainty in pre-medication and infusion durations. In this paper, we formulate a two-stage stochastic mixed integer programming model for the chemotherapy…

最优化与控制 · 数学 2021-01-20 Nur Banu Demir , Serhat Gul , Melih Celik

This paper proposes a new model for Cluster-tools with two load locks. Cluster-tools are widely used to automate single wafer processing in semiconductor industry. The load locks are the entry points into the vacuum of the Cluster-tool's…

数据结构与算法 · 计算机科学 2016-05-04 Martin Romauch , Richard F. Hartl

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 classical scheduling problem on parallel machines %with precedence constraints where the precedence graph has the bounded depth $h$. Our goal is to minimize the maximum completion time. We focus on developing approximation…

数据结构与算法 · 计算机科学 2023-02-02 Bin Fu , Yumei Huo , Hairong Zhao
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