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The paper considers scheduling on parallel machines under the constraint that some pairs of jobs cannot be processed concurrently. Each job has an associated weight, and all jobs have the same deadline. The objective is to maximise the…

数据结构与算法 · 计算机科学 2021-06-15 Yakov Zinder , Joanna Berlińska , Charlie Peter

The Job-shop Scheduling Problem (JSP) is a well-known and challenging combinatorial optimization problem in which tasks sharing a machine are to be arranged in a sequence such that encompassing jobs can be completed as early as possible. In…

人工智能 · 计算机科学 2025-08-13 Mohammed M. S. El-Kholany , Martin Gebser , Konstantin Schekotihin

This article presents an overview of a research study of a crucial optimization problem in the Computer Science/Operations research field: The Job-shop Scheduling Problem (JSP). The JSP is a challenging task in which a set of operations…

计算机科学中的逻辑 · 计算机科学 2022-08-08 Mohammed M. S. El-Kholany

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

In the Scheduling Machines with Capacity Constraints problem, we are given k identical machines, each of which can process at most m_i jobs. M jobs are also given, where job j has a non-negative processing time length t_j >= 0. The task is…

数据结构与算法 · 计算机科学 2009-06-18 Chi Zhang , Gang Wang , Xiaoguang Liu , Jing Liu

We study the problem of scheduling jobs on fault-prone machines communicating via a shared channel, also known as multiple-access channel. We have $n$ arbitrary length jobs to be scheduled on $m$ identical machines, $f$ of which are prone…

分布式、并行与集群计算 · 计算机科学 2018-07-26 Marek Klonowski , Dariusz R. Kowalski , Jarosław Mirek , Prudence W. H. Wong

The paper considers the problem of scheduling software modules on a multi-core processor, taking into account the limited bandwidth of the data bus and the precedence constraints. Two problem formulations with different levels of…

分布式、并行与集群计算 · 计算机科学 2020-11-02 Anton V. Eremeev , Anton A. Malakhov , Maxim A. Sakhno , Maria Y. Sosnovskaya

Realizing an optimal task scheduling by taking into account the business importance of jobs has become a matter of interest in pay and use model of Cloud computing. Introduction of an appropriate model for an efficient task scheduling…

分布式、并行与集群计算 · 计算机科学 2014-07-22 Vivek Sharma , T. R. Gopalakrishnan Nair

Motivated by green manufacturing, this paper investigates a scheduling with rejection problem subject to an energy consumption constraint. Machines are associated with non-uniform energy consumption rates, defined as the energy consumed per…

数据结构与算法 · 计算机科学 2026-01-16 Mingyang Gong , Brendan Mumey

Fast and accurate large-scale energy system models are needed to investigate the potential of storage to complement the fluctuating energy production of renewable energy systems. However, standard Mixed-Integer Programming (MIP) models that…

This paper deals with operational models for integrated shift and task scheduling problem. Staff scheduling problem is a special case of this with staff requirements as given input to the problem. Both problems become hard to solve when the…

最优化与控制 · 数学 2022-08-17 G S R Murthy , T R Lalita

Modern semiconductor manufacturing involves intricate production processes consisting of hundreds of operations, which can take several months from lot release to completion. The high-tech machines used in these processes are diverse,…

人工智能 · 计算机科学 2023-09-15 Mohammed M. S. El-Kholany , Ramsha Ali , Martin Gebser

Scheduling multiple products with limited resources and varying demands remain a critical challenge for many industries. This work presents mixed integer programs (MIPs) that solve the Economic Lot Sizing Problem (ELSP) and other Dynamic…

最优化与控制 · 数学 2020-04-07 Wolfgang Garn

This paper considers the problem of scheduling a single batch processing machine such that the total number of tardy jobs is minimized. The machine can simultaneously process several jobs as a batch as long as the machine capacity is not…

最优化与控制 · 数学 2019-02-18 Panteha Alipour

Motivated by the need of quick job (re-)scheduling, we examine an elaborate scheduling environment under the objective of total weighted tardiness minimization. The examined problem variant moves well beyond existing literature, as it…

最优化与控制 · 数学 2023-07-14 Ioannis Avgerinos , Ioannis Mourtos , Stavros Vatikiotis , Georgios Zois

In this study, we investigate a scheduling problem on identical machines in which jobs require initial setup before execution. We assume that an algorithm can dynamically form a batch (i.e., a collection of jobs to be processed together)…

数据结构与算法 · 计算机科学 2025-07-16 Yasushi Kawase , Kazuhisa Makino , Vinh Long Phan , Hanna Sumita

Efficient job-shop scheduling with transportation resources is critical for high-performance manufacturing. With the rise of "decentralized factories", multi-agent reinforcement learning has emerged as a promising approach for the combined…

人工智能 · 计算机科学 2026-04-28 Moritz Link , Jonathan Hoss , Noah Klarmann

Advance reservation is important to guarantee the quality of services of jobs by allowing exclusive access to resources over a defined time interval on resources. It is a challenge for the scheduler to organize available resources…

分布式、并行与集群计算 · 计算机科学 2012-03-06 Bo Li , Yijian Pei , Bin Shen , Hao Wu , Min He , Jundong Yang

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 problem considered in this work consists in scheduling a set of tasks on a single machine, around an unrestrictive common due date to minimize the weighted sum of earliness and tardiness. This problem can be formulated as a compact…

离散数学 · 计算机科学 2021-02-16 Anne-Elisabeth Falq , Pierre Fouilhoux , Safia Kedad-Sidhoum