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This work introduces a natural variant of the online machine scheduling problem on unrelated machines, which we refer to as the favorite machine model. In this model, each job has a minimum processing time on a certain set of machines,…

Data Structures and Algorithms · Computer Science 2019-12-30 Cong Chen , Paolo Penna , Yinfeng Xu

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},…

Data Structures and Algorithms · Computer Science 2018-05-16 Koji M. Kobayashi

As foundation models grow in size, fine-tuning them becomes increasingly expensive. While GPU spot instances offer a low-cost alternative to on-demand resources, their volatile prices and availability make deadline-aware scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-25 Linggao Kong , Yuedong Xu , Lei Jiao , Chuan Xu

In online scheduling, jobs are available one by one and each job must be scheduled irrevocably before the availability of the next job. Semi-online scheduling is a relaxed variant of online scheduling, where an additional memory in terms of…

Data Structures and Algorithms · Computer Science 2020-05-19 Debasis Dwibedy , Rakesh Mohanty

Fashion discounters face the problem of ordering the right amount of pieces in each size of a product. The product is ordered in pre-packs containing a certain size-mix of a product. For this so-called lot-type design problem, a stochastic…

Optimization and Control · Mathematics 2016-03-26 Miriam Kießling , Tobias Kreisel , Sascha Kurz , Jörg Rambau

This paper introduces the \emph{serial-parallel decision problem}. Consider an online scheduler that receives a series of tasks, where each task has both a parallel and a serial implementation. The parallel implementation has the advantage…

Data Structures and Algorithms · Computer Science 2024-05-21 William Kuszmaul , Alek Westover

This paper considers the one-dimensional cutting stock problem with divisible items, which is a new problem in the cutting stock literature. The problem exists in steel industries. In the new problem, each item can be divided into smaller…

Other Computer Science · Computer Science 2021-07-26 Deniz Tanir , Onur Ugurlu , Asli Guler , Urfat Nuriyev

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…

Data Structures and Algorithms · Computer Science 2020-07-21 Marek Chrobak , Mordecai Golin , Tak-Wah Lam , Dorian Nogneng

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…

Data Structures and Algorithms · Computer Science 2014-02-12 Shuyu Zhou , Xiandong Zhang , Bo Chen , Steef van de Velde

The active-time scheduling problem considers the problem of scheduling preemptible jobs with windows (release times and deadlines) on a parallel machine that can schedule up to $g$ jobs during each timestep. The goal in the active-time…

Data Structures and Algorithms · Computer Science 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

Modern manufacturing systems must meet hard delivery deadlines while coping with stochastic task durations caused by process noise, equipment variability, and human intervention. Traditional deterministic schedules break down when reality…

Artificial Intelligence · Computer Science 2025-10-21 Ioan Hedea

Many complex activities of production cycles, such as quality control or fault analysis, require highly experienced specialists to perform various operations on (semi)finished products using different tools. In practical scenarios, the…

Artificial Intelligence · Computer Science 2021-01-27 Giulia Francescutto , Konstantin Schekotihin , Mohammed M. S. El-Kholany

The rise of smart manufacturing under Industry 4.0 introduces mass customization and dynamic production, demanding more advanced and flexible scheduling techniques. The flexible job-shop scheduling problem (FJSP) has attracted significant…

Machine Learning · Computer Science 2026-03-04 Jiaqi Wang , Zhiguang Cao , Peng Zhao , Rui Cao , Yubin Xiao , Yuan Jiang , You Zhou

Multi-server jobs that request multiple computing resources and hold onto them during their execution dominate modern computing clusters. When allocating the multi-type resources to several co-located multi-server jobs simultaneously in…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-08 Hailiang Zhao , Shuiguang Deng , Zhengzhe Xiang , Xueqiang Yan , Jianwei Yin , Schahram Dustdar , Albert Y. Zomaya

Nurse staffing and scheduling are persistent challenges in healthcare due to demand fluctuations and individual nurse preferences. This study introduces the concept of bounded flexibility, balancing nurse satisfaction with strict rostering…

Optimization and Control · Mathematics 2025-06-02 Si Zhang , Paul Mingzheng Tang , Hoong Chuin Lau

Recently, the problem of multitasking scheduling has attracted a lot of attention in the service industries where workers frequently perform multiple tasks by switching from one task to another. Hall, Leung and Li (Discrete Applied…

Data Structures and Algorithms · Computer Science 2022-04-06 Bin Fu , Yumei Huo , Hairong Zhao

In the scheduling with non-uniform communication delay problem, the input is a set of jobs with precedence constraints. Associated with every precedence constraint between a pair of jobs is a communication delay, the time duration the…

Data Structures and Algorithms · Computer Science 2021-05-04 Sami Davies , Janardhan Kulkarni , Thomas Rothvoss , Sai Sandeep , Jakub Tarnawski , Yihao Zhang

Efficient production planning is essential in modern manufacturing to improve performance indicators such as lead time and to reduce reliance on human intuition. While mathematical optimization approaches, formulated as job shop scheduling…

Quantum Physics · Physics 2025-11-06 Kenta Sawamura , Kensuke Araki , Naoki Maruyama , Renichiro Haba , Masayuki Ohzeki

We consider the multi-vehicle one-to-one pickup and delivery problem with split loads, a NP-hard problem linked with a variety of applications for bulk product transportation, bike-sharing systems and inventory re-balancing. This problem is…

The scheduling problem is a key class of optimization problems and has various kinds of applications both in practical and theoretical scenarios. In the scheduling problem, probabilistic analysis is a basic tool for investigating…

Information Theory · Computer Science 2024-01-30 Daiki Suruga