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We consider the problem of scheduling multiprocessor jobs to minimize the total completion time under the given energy budget. Each multiprocessor job requires more than one processor at the same moment of time. Processors may operate at…

Optimization and Control · Mathematics 2021-07-22 Alexander Kononov , Yulia Kovalenko

Disruptions to personnel rosters caused by absenteeism often necessitate last-minute adjustments to the employees' working hours. A common strategy to mitigate the impact of such changes is to assign employees to reserve shifts: special…

Machine Learning · Computer Science 2024-06-27 Martina Doneda , Pieter Smet , Giuliana Carello , Ettore Lanzarone , Greet Vanden Berghe

This paper considers single-machine scheduling problems in which a given solution, i.e. an ordered set of jobs, has to be improved as much as possible by re-sequencing the jobs. The need for rescheduling may arise in different contexts,…

Data Structures and Algorithms · Computer Science 2021-07-01 Gaia Nicosia , Andrea Pacifici , Ulrich Pferschy , Julia Resch , Giovanni Righini

In this work we are interested in the problem of scheduling and redistributing data on master-slave platforms. We consider the case were the workers possess initial loads, some of which having to be redistributed in order to balance their…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Loris Marchal , Veronika Rehn , Yves Robert , Frédéric Vivien

The aircraft routing problem is one of the most studied problems of operations research applied to aircraft management. It involves assigning flights to aircraft while ensuring regular visits to maintenance bases. This paper examines two…

Discrete Mathematics · Computer Science 2025-11-11 Frédéric Meunier , Axel Parmentier , Nour ElHouda Tellache

A central problem in scheduling is to schedule $n$ unit size jobs with precedence constraints on $m$ identical machines so as to minimize the makespan. For $m=3$, it is not even known if the problem is NP-hard and this is one of the last…

Data Structures and Algorithms · Computer Science 2017-08-16 Shashwat Garg

This paper introduces the \emph{serial-parallel decision problem}. Consider an online scheduler that receives a series of tasks, where each task has both a parallel and a serial implementation. The parallel implementation has the advantage…

Data Structures and Algorithms · Computer Science 2024-05-21 William Kuszmaul , Alek Westover

We consider the online busy time scheduling problem motivated by energy and cost minimization in cloud computing systems. The input is a set of jobs $J=\{1,\dots,n\}$ where each job $j\in J$ has a release time $r_j$, deadline $d_j$, and…

Data Structures and Algorithms · Computer Science 2025-10-20 Susanne Albers , G. Wessel van der Heijden

Motivated by deep neural network applications, we study the problem of scheduling splittable jobs (e.g., neural network inference tasks) on configurable machines (e.g., multi-instance GPUs). We are given $n$ jobs and a set $C$ of…

Data Structures and Algorithms · Computer Science 2023-12-12 Matthew Casey , Rajmohan Rajaraman , David Stalfa

We consider a natural generalization of classical scheduling problems in which using a time unit for processing a job causes some time-dependent cost which must be paid in addition to the standard scheduling cost. We study the scheduling…

Data Structures and Algorithms · Computer Science 2018-12-03 Lin Chen , Nicole Megow , Roman Rischke , Leen Stougie , José Verschae

There are found a vast number of papers studying the problem of operating theater planning and scheduling. Different variants of this problem are generally recognized to be NP-complete; thus, several solution approaches have been utilized…

Artificial Intelligence · Computer Science 2020-08-13 Amirhossein Moosavi , Onur Ozturk

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

This paper presents two real-world scheduling problems and their algorithmic solutions through polynomial-time reductions. First, we address the Hospital Patient-to-Bed Assignment problem, demonstrating its reduction to Maximum Bipartite…

Data Structures and Algorithms · Computer Science 2026-01-13 Anay Sinhal , Arpana Sinhal , Amit Sinhal , Amit Hirawat

We consider several combinatorial optimization problems which combine the classic shop scheduling problems, namely open shop scheduling or job shop scheduling, and the shortest path problem. The objective of the obtained problem is to…

Data Structures and Algorithms · Computer Science 2013-09-03 Kameng Nip , Zhenbo Wang , Wenxun Xing

We study the online busy time scheduling model on heterogeneous machines. In our setting, jobs with uniform length arrive online with a deadline that becomes known to the algorithm at the job's arrival time. An algorithm has access to…

Data Structures and Algorithms · Computer Science 2026-03-09 Gruia Calinescu , Sami Davies , Samir Khuller , Shirley Zhang

Resource scheduling and coordination is an NP-hard optimization requiring an efficient allocation of agents to a set of tasks with upper- and lower bound temporal and resource constraints. Due to the large-scale and dynamic nature of…

Machine Learning · Computer Science 2021-12-10 Rohan Paleja , Andrew Silva , Letian Chen , Matthew Gombolay

We propose three novel mathematical optimization formulations that solve the same two-type heterogeneous multiprocessor scheduling problem for a real-time taskset with hard constraints. Our formulations are based on a global scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-13 Mason Thammawichai , Eric C. Kerrigan

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

Optimization and Control · Mathematics 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss

In this paper we consider a combination of the joint replenishment problem (JRP) and single machine scheduling with release dates. There is a single machine and one or more item types. Each job has a release date, a positive processing…

Data Structures and Algorithms · Computer Science 2022-03-03 Péter Györgyi , Tamás Kis , Tímea Tamási , József Békési

This article is devoted to propose some lower and upper bounds for the coupled-tasks scheduling problem in presence of compatibility constraints according to classical complexity hypothesis ($\mathcal{P} \neq \mathcal{NP}$,…

Computational Complexity · Computer Science 2017-06-08 Rodolphe Giroudeau , Jean-Claude König , Benoit Darties , Gilles Simonin