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In serial batch (s-batch) scheduling, jobs from similar families are grouped into batches and processed sequentially to avoid repetitive setups that are required when processing consecutive jobs of different families. Despite its large…

Artificial Intelligence · Computer Science 2025-11-21 Jorge A. Huertas , Pascal Van Hentenryck

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 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…

Computer Science and Game Theory · Computer Science 2023-06-01 Vilém Heinz , Antonín Novák , Marek Vlk , Zdeněk Hanzálek

We study the scheduling of jobs on a single parallel-batching machine with non-identical job sizes and incompatible job families. Jobs from the same family have the same processing time and can be loaded into a batch, as long as the batch…

Optimization and Control · Mathematics 2021-02-04 Fan Yang , Morteza Davari , Wenchao Wei , Ben Hermans , Roel Leus

In many manufacturing processes, batch processing is frequently needed for capacity reasons. This applies both to parallel and serial batching. However, while the serial batch processing is largely studied in the literature, as it is…

Optimization and Control · Mathematics 2024-02-14 Arianna Alfieri , Alessandro Druetto , Andrea Grosso , Fabio Salassa

A mathematical programming model for a class of single machine family scheduling problem is described in this technical report, with the aim of comparing the performance in solving the scheduling problem by means of mathematical programming…

Optimization and Control · Mathematics 2015-03-03 Davide Giglio

This paper considers the scheduling of job families on parallel machines with time constraints on machine qualifications. In this problem, each job belongs to a family and a family can only be executed on a subset of qualified machines. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-17 Arnaud Malapert , Margaux Nattaf

The task of finding efficient production schedules for parallel machines is a challenge that arises in most industrial manufacturing domains. There is a large potential to minimize production costs through automated scheduling techniques,…

Artificial Intelligence · Computer Science 2025-12-16 Christoph Einspieler , Matthias Horn , Marie-Louise Lackner , Patrick Malik , Nysret Musliu , Felix Winter

Constraint-based pattern discovery is at the core of numerous data mining tasks. Patterns are extracted with respect to a given set of constraints (frequency, closedness, size, etc). In the context of sequential pattern mining, a large…

Artificial Intelligence · Computer Science 2013-11-28 Jean-Philippe Métivier , Samir Loudni , Thierry Charnois

The main advantage of Constraint Programming (CP) approaches for sequential pattern mining (SPM) is their modularity, which includes the ability to add new constraints (regular expressions, length restrictions, etc). The current best CP…

Databases · Computer Science 2016-04-06 John O. R. Aoga , Tias Guns , Pierre Schaus

Constraint Programming (CP) is a well-established area in AI as a programming paradigm for modelling and solving discrete optimization problems, and it has been been successfully applied to tackle the on-line job dispatching problem in HPC…

Artificial Intelligence · Computer Science 2020-10-16 Cristian Galleguillos , Zeynep Kiziltan , Ricardo Soto

In order to achieve both fast and coordinated data transfer to collaborative sites as well as to create a distribution of data over multiple sites, efficient data movement is one of the most essential aspects in distributed environment.…

Performance · Computer Science 2009-04-14 Michal Zerola , Jerome Lauret , Roman Bartak , Michal Sumbera

Assigning jobs onto identical machines with the objective to minimize the maximal load is one of the most basic problems in combinatorial optimization. Motivated by product planing and data placement, we study a natural extension called…

Data Structures and Algorithms · Computer Science 2019-09-27 Klaus Jansen , Alexandra Lassota , Marten Maack

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

Optimization and Control · Mathematics 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

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…

Data Structures and Algorithms · Computer Science 2009-06-18 Chi Zhang , Gang Wang , Xiaoguang Liu , Jing Liu

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

Constrained clustering leverages limited domain knowledge to improve clustering performance and interpretability, but incorporating pairwise must-link and cannot-link constraints is an NP-hard challenge, making global optimization…

Machine Learning · Computer Science 2025-10-28 Pedro Chumpitaz-Flores , My Duong , Cristobal Heredia , Kaixun Hua

Optimizing schedules in real-world settings often requires considering workload constraints, specially for human resources, to ensure regulatory compliance, impose rest periods, or level the workload over the working horizon. This paper…

Optimization and Control · Mathematics 2026-05-21 Tanguy Terrien , Cyrille Briand

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…

Data Structures and Algorithms · Computer Science 2025-04-01 Shuguang Li , Zhenxin Wen , Jing Wei

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi
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