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We develop a computational approach to Metric Answer Set Programming (ASP) to allow for expressing quantitative temporal constraints, like durations and deadlines. A central challenge is to maintain scalability when dealing with…

Artificial Intelligence · Computer Science 2026-01-29 Arvid Becker , Pedro Cabalar , Martin Diéguez , Susana Hahn , Javier Romero , Torsten Schaub

In this paper, we address a variant of a batch scheduling problem with identical parallel machines and non-anticipatory family setup times to minimize the total weighted completion time. We developed an ILS and a GRASP matheuristics to…

Optimization and Control · Mathematics 2020-10-29 Victor Abu-Marrul , Rafael Martinelli , Silvio Hamacher , Irina Gribkovskaia

The discrete parallel machine makespan scheduling location (ScheLoc) problem is an integrated combinatorial optimization problem that combines facility location and job scheduling. The problem consists in choosing the locations of $p$…

Artificial Intelligence · Computer Science 2025-04-08 Raphael Kramer , Arthur Kramer

This paper approaches the integrated lot sizing and scheduling problem (ILSSP), in which non-identical machines work in parallel with non-triangular sequence-dependent setup costs and times, setup carry-over and capacity limitation. The aim…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-14 Desiree M. Carvalho , Mariá C. V. Nascimento

We study ordinal makespan scheduling on small numbers of identical machines, with respect to two parallel solutions. In ordinal scheduling, it is known that jobs are sorted by non-increasing sizes, but the specific sizes are not known in…

Data Structures and Algorithms · Computer Science 2022-10-17 Leah Epstein

We consider the problem of minimizing the makespan on batch processing identical machines, subject to compatibility constraints, where two jobs are compatible if they can be processed simultaneously in a same batch. These constraints are…

Discrete Mathematics · Computer Science 2023-09-07 Khaoula Bouakaz , Mourad Boudhar

We study the scheduling problem of makespan minimization while taking machine conflicts into account. Machine conflicts arise in various settings, e.g., shared resources for pre- and post-processing of tasks or spatial restrictions. In this…

Discrete Mathematics · Computer Science 2021-11-15 Moritz Buchem , Linda Kleist , Daniel Schmidt genannt Waldschmidt

The Oven Scheduling Problem (OSP) is an NP-hard real-world parallel batch scheduling problem arising in the semiconductor industry. The objective of the problem is to schedule a set of jobs on ovens while minimizing several factors, namely…

Artificial Intelligence · Computer Science 2024-10-03 Francesca Da Ros , Marie-Louise Lackner , Nysret Musliu

Non-stationary domains, where unforeseen changes happen, present a challenge for agents to find an optimal policy for a sequential decision making problem. This work investigates a solution to this problem that combines Markov Decision…

Artificial Intelligence · Computer Science 2017-05-04 Leonardo A. Ferreira , Reinaldo A. C. Bianchi , Paulo E. Santos , Ramon Lopez de Mantaras

This paper presents different methods for solving parallel machine scheduling problems with precedence constraints and setup times between the jobs. Limited discrepancy search methods mixed with local search principles, dominance conditions…

Data Structures and Algorithms · Computer Science 2009-02-19 Bernat Gacias , Christian Artigues , Pierre Lopez

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

In Answer Set Programming (ASP), the user can define declaratively a problem and solve it with efficient solvers; practical applications of ASP are countless and several constraint problems have been successfully solved with ASP. On the…

Artificial Intelligence · Computer Science 2023-05-23 Paola Cappanera , Marco Gavanelli , Maddalena Nonato , Marco Roma

We study a scheduling problem in which jobs may be split into parts, where the parts of a split job may be processed simultaneously on more than one machine. Each part of a job requires a setup time, however, on the machine where the job…

Data Structures and Algorithms · Computer Science 2012-12-11 Frans Schalekamp , Rene Sitters , Suzanne van der Ster , Leen Stougie , Victor Verdugo , Anke van Zuylen

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

The classical Job Shop Scheduling Problem (JSSP) focuses on optimizing makespan under deterministic constraints. Real-world production environments introduce additional complexities that cause traditional scheduling approaches to be less…

Machine Learning · Computer Science 2025-06-18 Jonathan Hoss , Felix Schelling , Noah Klarmann

In industrial resource allocation problems, an initial planning stage may solve a nominal problem instance and a subsequent recovery stage may intervene to repair inefficiencies and infeasibilities due to uncertainty, e.g.\ machine failures…

Optimization and Control · Mathematics 2020-08-31 Dimitrios Letsios , Miten Mistry , Ruth Misener

This article presents the use of Answer Set Programming (ASP) to mine sequential patterns. ASP is a high-level declarative logic programming paradigm for high level encoding combinatorial and optimization problem solving as well as…

Artificial Intelligence · Computer Science 2017-11-15 Thomas Guyet , Yves Moinard , René Quiniou , Torsten Schaub

Answer Set Programming (ASP) is a popular logic programming paradigm that has been applied for solving a variety of complex problems. Among the most challenging real-world applications of ASP are two industrial problems defined by Siemens:…

Artificial Intelligence · Computer Science 2016-08-03 Carmine Dodaro , Philip Gasteiger , Nicola Leone , Benjamin Musitsch , Francesco Ricca , Kostyantyn Shchekotykhin

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

In our daily lives and industrial settings, we often encounter dynamic problems that require reasoning over time and metric constraints. These include tasks such as scheduling, routing, and production sequencing. Dynamic logics have…

Artificial Intelligence · Computer Science 2025-02-14 Susana Hahn