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We consider the Demand Strip Packing problem (DSP), in which we are given a set of jobs, each specified by a processing time and a demand. The task is to schedule all jobs such that they are finished before some deadline $D$ while…

Data Structures and Algorithms · Computer Science 2024-08-19 Franziska Eberle , Felix Hommelsheim , Malin Rau , Stefan Walzer

Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches…

Machine Learning · Computer Science 2025-10-08 Nikolai Antonov , Prěmysl Šůcha , Mikoláš Janota , Jan Hůla

In this work, we study the single machine scheduling problem with uncertain release times and processing times of jobs. We adopt a robust scheduling approach, in which the measure of robustness to be minimized for a given sequence of jobs…

Optimization and Control · Mathematics 2014-11-27 Nitish Umang , Alan L. Erera , Michel Bierlaire

This paper revisits the well known single machine scheduling problem to minimize total weighted completion times. The twist is that job sizes are stochastic from unknown distributions, and the scheduler has access to only a single sample…

Data Structures and Algorithms · Computer Science 2023-08-23 Puck te Rietmole , Marc Uetz

This paper considers a combination of the joint replenishment problem with single machine scheduling. There is a single resource, which is required by all the jobs, and a job can be started at time point $t$ on the machine if and only the…

Data Structures and Algorithms · Computer Science 2024-05-03 Péter Györgyi , Tamás Kis , Tímea Tamási

We consider non-preemptive scheduling of MapReduce jobs with multiple tasks in the practical scenario where each job requires several map-reduce rounds. We seek to minimize the average weighted completion time and consider scheduling on…

Data Structures and Algorithms · Computer Science 2016-02-18 Dimitris Fotakis , Ioannis Milis , Orestis Papadigenopoulos , Vasilis Vassalos , Georgios Zois

We present a new online algorithm for profit-oriented scheduling on multiple speed-scalable processors. Moreover, we provide a tight analysis of the algorithm's competitiveness. Our results generalize and improve upon work by…

Data Structures and Algorithms · Computer Science 2012-09-19 Peter Kling , Peter Pietrzyk

Real-time end-to-end task scheduling in networked control systems (NCSs) requires the joint consideration of both network and computing resources to guarantee the desired quality of service (QoS). This paper introduces a new model for…

Networking and Internet Architecture · Computer Science 2022-10-21 Peng Wu , Chenchen Fu , Tianyu Wang , Minming Li , Yingchao Zhao , Chun Jason Xue , Song Han

The Map-Reduce computing framework rose to prominence with datasets of such size that dozens of machines on a single cluster were needed for individual jobs. As datasets approach the exabyte scale, a single job may need distributed…

Data Structures and Algorithms · Computer Science 2016-10-31 Riley Murray , Samir Khuller , Megan Chao

In this paper, we consider the problem of scheduling jobs on parallel identical machines, where the processing times of jobs are uncertain: only interval bounds of processing times are known. The optimality criterion of a schedule is the…

Data Structures and Algorithms · Computer Science 2016-03-25 Maciej Drwal , Roman Rischke

In this paper, we consider the problem of choosing a minimum cost set of resources for executing a specified set of jobs. Each input job is an interval, determined by its start-time and end-time. Each resource is also an interval determined…

Data Structures and Algorithms · Computer Science 2012-10-11 Venkatesan Chakaravarthy , Arindam Pal , Sambuddha Roy , Yogish Sabharwal

We investigate the recoverable robust single machine scheduling problem under interval uncertainty. In this setting, jobs have first-stage processing times p and second-stage processing times q and we aim to find a first-stage and…

Data Structures and Algorithms · Computer Science 2022-03-08 Matthew Bold , Marc Goerigk

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

This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a…

Data Structures and Algorithms · Computer Science 2019-04-23 Benjamin Moseley

This paper mainly focuses on a resource leveling variant of a two-processor scheduling problem. The latter problem is to schedule a set of dependent UET jobs on two identical processors with minimum makespan. It is known to be…

Computational Complexity · Computer Science 2024-06-13 Pascale Bendotti , Luca Brunod Indrigo , Philippe Chrétienne , Bruno Escoffier

This paper considers a recoverable robust single-machine scheduling problem under polyhedral uncertainty with the objective of minimising the total flow time. In this setting, a decision-maker must determine a first-stage schedule subject…

Optimization and Control · Mathematics 2022-03-08 Matthew Bold , Marc Goerigk

We study the load balanced capacitated vehicle routing problem (LBCVRP): the problem is to design a collection of tours for a fixed fleet of vehicles with capacity Q to distribute a supply from a single depot between a number of predefined…

Data Structures and Algorithms · Computer Science 2020-07-28 Haniyeh Fallah , Farzad Didehvar , Farhad Rahmati

Consider the problem in which n jobs that are classified into k types are to be scheduled on m identical machines without preemption. A machine requires a proper setup taking s time units before processing jobs of a given type. The…

Data Structures and Algorithms · Computer Science 2015-04-28 Alexander Mäcker , Manuel Malatyali , Friedhelm Meyer auf der Heide , Sören Riechers

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

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
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