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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…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

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

The scheduling of production resources (such as associating jobs to machines) plays a vital role for the manufacturing industry not only for saving energy but also for increasing the overall efficiency. Among the different job scheduling…

Artificial Intelligence · Computer Science 2023-03-07 Deepak Vivekanandan , Samuel Wirth , Patrick Karlbauer , Noah Klarmann

Resource Constrained Project Scheduling Problems (RCPSPs) without preemption are well-known NP-hard combinatorial optimization problems. A feasible RCPSP solution consists of a time-ordered schedule of jobs with corresponding execution…

Data Structures and Algorithms · Computer Science 2019-09-09 Janniele A. S. Araujo , Haroldo Gambini Santos , Bernard Gendron , Sanjay Dominik Jena , Samuel S. Brito , Danilo S. Souzaa

In this article, we study a single-machine scheduling problem of minimizing the total tardiness for a set of independent jobs. The processing time of a job is modeled as a step function of its starting time and a specific deteriorating…

Optimization and Control · Mathematics 2013-08-16 Peng Guo , Wenming Chen , Yi Wang

For the past decade, HENP experiments have been heading towards a distributed computing model in an effort to concurrently process tasks over enormous data sets that have been increasing in size as a function of time. In order to optimize…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Michal Zerola , Jérôme Lauret , Roman Barták , Michal Šumbera

We present a hybrid optimization framework for a class of problems, formalized as a generalization of the Continuous Energy-Con\-strained Scheduling Problem (CECSP), introduced by Nattaf et al. (2014). This class is obtained from challenges…

Optimization and Control · Mathematics 2024-03-06 Roel Brouwer , Marjan van den Akker , Han Hoogeveen

The resource constrained project scheduling problem (RCPSP) is an NP-Hard combinatorial optimization problem. The objective of RCPSP is to schedule a set of activities without violating any activity precedence or resource constraints. In…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Shelvin Chand , Kousik Rajesh , Rohitash Chandra

Due to complex sets of interrelated activities in aircraft heavy maintenance (AHM), many airlines have to deal with substantial aircraft maintenance downtime. The scheduling problem in AHM is regarded as an NP-hard problem. Using exact…

Neural and Evolutionary Computing · Computer Science 2022-08-16 Kusol Pimapunsri , Darawan Weeranant , Andreas Riel

We present a solution to real-world train scheduling problems, involving routing, scheduling, and optimization, based on Answer Set Programming (ASP). To this end, we pursue a hybrid approach that extends ASP with difference constraints to…

Artificial Intelligence · Computer Science 2021-07-01 Dirk Abels , Julian Jordi , Max Ostrowski , Torsten Schaub , Ambra Toletti , Philipp Wanko

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

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

Data Structures and Algorithms · Computer Science 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

Recent years have seen a rise in interest in terms of using machine learning, particularly reinforcement learning (RL), for production scheduling problems of varying degrees of complexity. The general approach is to break down the…

Machine Learning · Computer Science 2023-02-16 Alexandru Rinciog , Anne Meyer

This study investigates scheduling strategies for the stochastic resource-constrained project scheduling problem with maximal time lags (SRCPSP/max)). Recent advances in Constraint Programming (CP) and Temporal Networks have reinvoked…

Artificial Intelligence · Computer Science 2025-03-25 Kim van den Houten , Léon Planken , Esteban Freydell , David M. J. Tax , Mathijs de Weerdt

Scientific and data science applications are becoming increasingly complex, with growing computational and memory demands. Modern high performance computing (HPC) systems provide high parallelism and heterogeneity across nodes, devices, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-29 Jonas H. Müller Korndörfer , Ali Mohammed , Ahmed Eleliemy , Quentin Guilloteau , Reto Krummenacher , Florina M. Ciorba

We deal with a challenging scheduling problem on parallel machines with sequence-dependent setup times and release dates from a real-world application of semiconductor work-shop production. There, jobs can only be processed by dedicated…

Artificial Intelligence · Computer Science 2024-11-01 Thomas Eiter , Tobias Geibinger , Nysret Musliu , Johannes Oetsch , Peter Skocovsky , Daria Stepanova

The job shop scheduling problem (JSSP) remains a significant hurdle in optimizing production processes. This challenge involves efficiently allocating jobs to a limited number of machines while minimizing factors like total processing time…

Artificial Intelligence · Computer Science 2024-08-14 Henrik Abgaryan , Ararat Harutyunyan , Tristan Cazenave

Recently, the makespan-minimization problem of compiling a general class of quantum algorithms into near-term quantum processors has been introduced to the AI community. The research demonstrated that temporal planning is a strong approach…

In realistic production scenarios, Advanced Planning and Scheduling (APS) tools often require manual intervention by production planners, as the system works with incomplete information, resulting in suboptimal schedules. Often, the…

Artificial Intelligence · Computer Science 2025-04-11 Lukáš Nedbálek , Antonín Novák

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