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Scheduling jobs with given processing times on identical parallel machines so as to minimize their total completion time is one of the most basic scheduling problems. We study interesting generalizations of this classical problem involving…

Data Structures and Algorithms · Computer Science 2024-03-01 Thomas Bosman , Martijn van Ee , Ekin Ergen , Csanad Imreh , Alberto Marchetti-Spaccamela , Martin Skutella , Leen Stougie

We present a new flow-based formulation for identical parallel machine scheduling with a regular objective function and without idle time. The formulation is constructed with the help of a decision diagram that represents all job sequences…

Discrete Mathematics · Computer Science 2022-10-06 Daniel Kowalczyk , Roel Leus , Christopher Hojny , Stefan Røpke

We study the problem of scheduling jobs on fault-prone machines communicating via a shared channel, also known as multiple-access channel. We have $n$ arbitrary length jobs to be scheduled on $m$ identical machines, $f$ of which are prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Marek Klonowski , Dariusz R. Kowalski , Jarosław Mirek , Prudence W. H. Wong

In this paper we study a proportionate flow shop of batching machines with release dates and a fixed number $m \geq 2$ of machines. The scheduling problem has so far barely received any attention in the literature, but recently its…

Data Structures and Algorithms · Computer Science 2020-11-30 Christoph Hertrich , Christian Weiß , Heiner Ackermann , Sandy Heydrich , Sven O. Krumke

Optimal sensor scheduling with applications to networked estimation and control systems is considered. We model sensor measurement and transmission instances using jumps between states of a continuous-time Markov chain. We introduce a cost…

Optimization and Control · Mathematics 2014-05-07 Farhad Farokhi , Karl H. Johansson

The no-wait flowshop scheduling problem is a variant of the classical permutation flowshop problem, with the additional constraint that jobs have to be processed by the successive machines without waiting time. To efficiently address this…

Artificial Intelligence · Computer Science 2019-03-22 Lucien Mousin , Marie-Eléonore Kessaci , Clarisse Dhaenens

This paper addresses a production scheduling problem derived from an industrial use case, focusing on unrelated parallel machine scheduling with the personnel availability constraint. The proposed model optimizes the production plan over a…

Artificial Intelligence · Computer Science 2024-02-27 Maziyar Khadivi , Mostafa Abbasi , Todd Charter , Homayoun Najjaran

Flow shops are widely studied machine environments in which all jobs must visit all machines in the same order. While conventional flow shops assume that each job traverses the shop only once, many industrial environments require jobs to…

Optimization and Control · Mathematics 2025-07-04 Maximilian von Aspern , Felix Buld , Nicklas Klein , Michael Pinedo

Planning and scheduling have been a central theme of research in computer science. In particular, the simplicity of the theoretical approach of a no-wait flowshop scheduling problem does not allow to perceive the problem complexity at first…

Logic in Computer Science · Computer Science 2019-09-20 Carmen Leticia García-Mata , Pedro Rafael Márquez-Gutiérrez

The parallel machine scheduling problem has been a popular topic for many years due to its theoretical and practical importance. This paper addresses the robust makespan optimization problem on unrelated parallel machine scheduling with…

Optimization and Control · Mathematics 2020-10-23 Chutong Gao , Weihao Wang , Leyuan Shi

Job shop scheduling problems address the routing and sequencing of tasks in a job shop setting. Despite significant interest from operations research and machine learning communities over the years, a comprehensive platform for testing and…

Artificial Intelligence · Computer Science 2025-03-18 Robbert Reijnen , Igor G. Smit , Hongxiang Zhang , Yaoxin Wu , Zaharah Bukhsh , Yingqian Zhang

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

Data Structures and Algorithms · Computer Science 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

In the context of Markov decision processes running in continuous time, one of the most intriguing challenges is the efficient approximation of finite horizon reachability objectives. A multitude of sophisticated model checking algorithms…

Systems and Control · Computer Science 2015-08-03 Yuliya Butkova , Hassan Hatefi , Holger Hermanns , Jan Krcal

In this paper, we study an NP-hard problem of a single machine scheduling minimizing the makespan, where the mixed-critical tasks with an uncertain processing time are scheduled. We show the derivation of F-shaped tasks from the probability…

Optimization and Control · Mathematics 2016-10-25 Antonin Novak , Premysl Sucha , Zdenek Hanzalek

This paper addresses the problem of scheduling a set of jobs that are released over the time on a set of identical parallel machines, aiming at the minimization of the total weighted completion time. This problem, referred to as $P|r_j|\sum…

Optimization and Control · Mathematics 2020-06-30 Arthur Kramer , Mauro Dell'Amico , Dominique Feillet , Manuel Iori

We study the problem of preemptive scheduling n jobs with given release times on m identical parallel machines. The objective is to minimize the average flow time. We show that when all jobs have equal processing times then the problem can…

Data Structures and Algorithms · Computer Science 2007-05-23 Philippe Baptiste , Peter Brucker , Marek Chrobak , Christoph Durr , Svetlana A. Kravchenko , Francis Sourd

We address the problem of scheduling jobs with non-identical sizes and distinct processing times on a single batch processing machine, aiming at minimizing the makespan. The extensive literature on this NP-hard problem mostly focuses on…

Optimization and Control · Mathematics 2021-06-03 Renan Spencer Trindade , Olinto C. B. de Araujo , Marcia Fampa

Machine scheduling problems involving conflict jobs can be seen as a constrained version of the classical scheduling problem, in which some jobs are conflict in the sense that they cannot be proceeded simultaneously on different machines.…

Data Structures and Algorithms · Computer Science 2021-02-12 Minh Hoàng Hà , Dinh Quy Ta , Trung Thanh Nguyen

This paper studies the scheduling of jobs of different families on parallel machines with qualification constraints. Originating from semiconductor manufacturing, this constraint imposes a time threshold between the execution of two jobs of…

Artificial Intelligence · Computer Science 2020-11-23 Margaux Nattaf , Arnaud Malapert

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

Discrete Mathematics · Computer Science 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar