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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 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)…

Data Structures and Algorithms · Computer Science 2025-07-16 Yasushi Kawase , Kazuhisa Makino , Vinh Long Phan , Hanna Sumita

Warehouses are nowadays the scene of complex logistic problems integrating different decision layers. This paper addresses the Joint Order Batching, Picker Routing and Sequencing Problem with Deadlines (JOBPRSP-D) in rectangular warehouses.…

Optimization and Control · Mathematics 2023-07-04 Olivier Briant , Hadrien Cambazard , Diego Cattaruzza , Nicolas Catusse , Anne-Laure Ladier , Maxime Ogier

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…

Numerical Analysis · Mathematics 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

Scheduled batch jobs have been widely used on the asynchronous computing platforms to execute various enterprise applications, including the scheduled notifications and the candidate pre-computation for the modern recommender systems. It is…

Machine Learning · Computer Science 2022-12-06 Yang Liu , Juan Wang , Zhengxing Chen , Ian Fox , Imani Mufti , Jason Sukumaran , Baokun He , Xiling Sun , Feng Liang

Many problems in robotics seek to simultaneously optimize several competing objectives under constraints. A conventional approach to solving such multi-objective optimization problems is to create a single cost function comprised of the…

Robotics · Computer Science 2022-06-02 Alexander Botros , Armin Sadeghi , Nils Wilde , Javier Alonso-Mora , Stephen L. Smith

This paper addresses the scheduling problem on two identical parallel machines with a single server in charge of loading and unloading operations of jobs. Each job has to be loaded by the server before being processed on one of the two…

Optimization and Control · Mathematics 2023-06-30 Abdelhak Elidrissi , Rachid Banmansour , Keramat Hasani , Frank Werner

In the classical problem of scheduling on unrelated parallel machines, a set of jobs has to be assigned to a set of machines. The jobs have a processing time depending on the machine and the goal is to minimize the makespan, that is the…

Data Structures and Algorithms · Computer Science 2017-12-07 Klaus Jansen , Marten Maack

Malleable scheduling is a model that captures the possibility of parallelization to expedite the completion of time-critical tasks. A malleable job can be allocated and processed simultaneously on multiple machines, occupying the same time…

Discrete Mathematics · Computer Science 2022-03-29 Dimitris Fotakis , Jannik Matuschke , Orestis Papadigenopoulos

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…

Discrete Mathematics · Computer Science 2021-06-01 Klaus Heeger , Danny Hermelin , George B. Mertzios , Hendrik Molter , Rolf Niedermeier , Dvir Shabtay

We consider several combinatorial optimization problems which combine the classic shop scheduling problems, namely open shop scheduling or job shop scheduling, and the shortest path problem. The objective of the obtained problem is to…

Data Structures and Algorithms · Computer Science 2013-09-03 Kameng Nip , Zhenbo Wang , Wenxun Xing

We consider online scheduling to minimize weighted completion time on related machines, where each job consists of several tasks that can be concurrently executed. A job gets completed when all its component tasks finish. We obtain an…

Data Structures and Algorithms · Computer Science 2021-07-14 Anupam Gupta , Amit Kumar , Sahil Singla

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Pierre-Francois Dutot , Lionel Eyraud , Grégory Mounié , Denis Trystram

We study flow shop scheduling with stochastic reentry, where jobs must complete multiple passes through the entire shop, and the number of passes that a job requires for completion is drawn from a discrete probability distribution. The goal…

Data Structures and Algorithms · Computer Science 2026-04-21 Maximilian von Aspern , Felix Buld , Michael Pinedo

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

This paper addresses the incompatible case of parallel batch scheduling, where compatible jobs belong to the same family, and jobs from different families cannot be processed together in the same batch. The state-of-the-art constraint…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Jorge A. Huertas , Pascal Van Hentenryck

This paper proposes new algorithms for the assembly line balancing problem with hierarchical worker assignment (ALBHW). The ALBHW appears in real industrial contexts where companies deal with a multi-skilled workforce. It considers task…

Optimization and Control · Mathematics 2020-04-29 Nicolas P. Campana , Manuel Iori , Mayron C. O. Moreira

We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance…

Data Structures and Algorithms · Computer Science 2024-01-02 Pierre Bergé , Mari Chaikovskaia , Jean-Philippe Gayon , Alain Quilliot

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Daniela Rus

We propose new abstract and unified perspectives on a range of scheduling and graph coloring problems with general min-sum objectives. Specifically, we consider various problems where the objective function is the weighted sum of completion…

Data Structures and Algorithms · Computer Science 2026-02-12 Alexander Lindermayr , Zhenwei Liu , Nicole Megow
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