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The paper considers single-machine scheduling problems with a non-renewable resource. In this setting, we are given a set jobs, each of which is characterized by a processing time, a weight, and the job also has some resource requirement.…

Data Structures and Algorithms · Computer Science 2019-11-28 Kristóf Bérczi , Tamás Király , Simon Omlor

In this study, we investigate a robust single-machine scheduling problem under processing time uncertainty. The uncertainty is modeled using the budgeted approach, where each job has a nominal and deviation processing time, and the number…

Discrete Mathematics · Computer Science 2026-02-04 Noam Goldberg , Dvir Shabtay

Scheduling theory is an old and well-established area in combinatorial optimization, whereas the much younger area of parameterized complexity has only recently gained the attention of the community. Our aim is to bring these two areas…

Data Structures and Algorithms · Computer Science 2017-09-14 Danny Hermelin , Judith-Madeleine Kubitza , Dvir Shabtay , Nimrod Talmon , Gerhard Woeginger

This paper presents a novel idea for the general case of the Common Due-Date (CDD) scheduling problem. The problem is about scheduling a certain number of jobs on a single or parallel machines where all the jobs possess different processing…

Data Structures and Algorithms · Computer Science 2014-05-07 Abhishek Awasthi , Jörg Lässig , Oliver Kramer

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

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 consider the problem of allocating multiple heterogeneous resources geographically and over time to meet demands that require some subset of the available resource types simultaneously at a specified time, location, and duration. The…

Optimization and Control · Mathematics 2022-06-15 Arden Baxter , Pinar Keskinocak , Mohit Singh

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

The personnel rostering problem is the problem of finding an optimal way to assign employees to shifts, subject to a set of hard constraints which all valid solutions must follow, and a set of soft constraints which define the relative…

Artificial Intelligence · Computer Science 2020-10-28 Ziyi Chen , Patrick De Causmaecker , Yajie Dou

This paper considers parallel machine scheduling with incompatibilities between jobs. The jobs form a graph and no two jobs connected by an edge are allowed to be assigned to the same machine. In particular, we study the case where the…

Computational Complexity · Computer Science 2021-03-16 Klaus Jansen , Alexandra Lassota , Marten Maack , Tytus Pikies

In this paper we consider the coupled task scheduling problem with exact delay times on a single machine with the objective of minimizing the total completion time of the jobs. We provide constant-factor approximation algorithms for several…

Optimization and Control · Mathematics 2024-05-03 David Fischer , Péter Györgyi

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

Data Structures and Algorithms · Computer Science 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

Optimization and Control · Mathematics 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

We study shared multi-processor scheduling problem where each job can be executed on its private processor and simultaneously on one of many processors shared by all jobs in order to reduce the job's completion time due to processing time…

Discrete Mathematics · Computer Science 2021-03-05 Dariusz Dereniowski , Wieslaw Kubiak

We consider the offline sorting buffer problem. The input is a sequence of items of different types. All items must be processed one by one by a server. The server is equipped with a random-access buffer of limited capacity which can be…

Data Structures and Algorithms · Computer Science 2010-09-23 Ho-Leung Chan , Nicole Megow , Rob van Stee , Rene Sitters

Nowadays, reaching a high level of employee satisfaction in efficient schedules is an important and difficult task faced by companies. We tackle a new variant of the personnel scheduling problem under unknown demand by considering employee…

Optimization and Control · Mathematics 2025-04-01 Carl Perreault-Lafleur , Margarida Carvalho , Guy Desaulniers

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

We study the parameterized complexity of scheduling unit-time jobs on parallel, identical machines under generalized precedence constraints for minimization of the makespan and the sum of completion times. In our setting, each job is…

Optimization and Control · Mathematics 2025-11-18 Christina Büsing , Maurice Draeger , Corinna Mathwieser

Modern business models have enabled service systems to leverage a large pool of casual employees with flexible hours, paid based on piece rates, to fulfill on-demand work. These systems have been successfully implemented in sectors such as…

Optimization and Control · Mathematics 2025-04-09 Prakash Gawas , Antoine Legrain , Louis-Martin Rousseau

In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally captures scenarios where costs fluctuate throughout the day,…

Optimization and Control · Mathematics 2026-04-17 Sofía Rodríguez-Ballesteros , Javier Alcaraz , Laura Anton-Sanchez , Marc Goerigk , Dorothee Henke