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A modern processor can dynamically set it's speed while it's active, and can make a transition to sleep state when required. When the processor is operating at a speed $s$, the energy consumed per unit time is given by a convex power…

Data Structures and Algorithms · Computer Science 2019-12-03 Gunjan Kumar , Saswata Shannigrahi

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

Optimization and Control · Mathematics 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

In robot planning, tasks can often be achieved through multiple options, each consisting of several actions. This work specifically addresses deadline constraints in task and motion planning, aiming to find a plan that can be executed…

Robotics · Computer Science 2024-10-10 Yoonchang Sung , Shahaf S. Shperberg , Qi Wang , Peter Stone

Although High Performance Computing (HPC) users understand basic resource requirements such as the number of CPUs and memory limits, internal infrastructural utilization data is exclusively leveraged by cluster operators, who use it to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-19 Abel Souza , Kristiaan Pelckmans , Johan Tordsson

This paper addresses a single machine scheduling problem with non-preemptive jobs to minimize the total electricity cost. Two latest trends in the area of the energy-aware scheduling are considered, namely the variable energy pricing and…

Data Structures and Algorithms · Computer Science 2020-12-16 Ondřej Benedikt , István Módos , Zdeněk Hanzálek

Makespan minimization (on parallel identical or unrelated machines) is arguably the most natural and studied scheduling problem. A common approach in practical algorithm design is to reduce the size of a given instance by a fast…

Data Structures and Algorithms · Computer Science 2020-03-05 Dušan Knop , Martin Koutecký

The problem of scheduling jobs and choosing their respective speeds with multiple servers under a sum power constraint to minimize the flow time + energy is considered. This problem is a generalization of the flow time minimization problem…

Data Structures and Algorithms · Computer Science 2021-08-19 Rahul Vaze , Jayakrishnan Nair

We consider the $\mathcal{NP}$-hard problem $\mathrm{P} \mathbf{\vert} \mathrm{pmtn, setup=s_i} \mathbf{\vert} \mathrm{C_{\max}}$, the problem of scheduling $n$ jobs, which are divided into $c$ classes, on $m$ identical parallel machines…

Data Structures and Algorithms · Computer Science 2025-08-21 Max A. Deppert , David Fischer , Klaus Jansen

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

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

Federated Learning (FL) has opened the opportunity for collaboratively training machine learning models on heterogeneous mobile or Edge devices while keeping local data private.With an increase in its adoption, a growing concern is related…

Machine Learning · Computer Science 2022-09-15 Laércio Lima Pilla

Large data and computing centers consume a significant share of the world's energy consumption. A prominent subset of the workloads in such centers are workflows with interdependent tasks, usually represented as directed acyclic graphs…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-12 Dominik Schweisgut , Anne Benoit , Yves Robert , Henning Meyerhenke

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

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

This paper considers the scheduling of stochastic jobs on parallel identical machines to minimize the expected total weighted completion time. While this is a classical problem with a significant body of research on approximation algorithms…

Data Structures and Algorithms · Computer Science 2026-01-27 Benjamin Moseley , Kirk Pruhs , Marc Uetz , Rudy Zhou

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

The active-time scheduling problem considers the problem of scheduling preemptible jobs with windows (release times and deadlines) on a parallel machine that can schedule up to $g$ jobs during each timestep. The goal in the active-time…

Data Structures and Algorithms · Computer Science 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

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

Static scheduling of independent, moldable tasks on parallel machines with frequency scaling comprises decisions on core allocation, assignment, frequency scaling and ordering, to meet a deadline and minimize energy consumption.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-22 Jörg Keller , Sebastian Litzinger

We propose a unifying framework based on configuration linear programs and randomized rounding, for different energy optimization problems in the dynamic speed-scaling setting. We apply our framework to various scheduling and routing…

Data Structures and Algorithms · Computer Science 2014-03-21 Evripidis Bampis , Alexander Kononov , Dimitrios Letsios , Giorgio Lucarelli , Maxim Sviridenko