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Consider a system in which tasks of different execution times arrive continuously and have to be executed by a set of processors that are prone to crashes and restarts. In this paper we model and study the impact of parallelism and failures…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-11 Antonio Fernández Anta , Chryssis Georgiou , Dariusz R. Kowalski , Elli Zavou

We are concerned with the problem of scheduling $n$ jobs onto $m$ identical machines. Each machine has to be in operation for a prescribed time, and the objective is to minimize the total machine working time. Precisely, let $c_i$ be the…

Data Structures and Algorithms · Computer Science 2025-07-22 Yi-Ting Hsieh , Mong-Jen Kao , Jhong-Yun Liu , Hung-Lung Wang

We study online scheduling to minimize total completion time with explorable uncertainty on single and multiple machines. Each job comes with an upper limit of its processing time, which could be potentially reduced by testing the job,…

Discrete Mathematics · Computer Science 2026-05-11 Bob Krekelberg , Alison Hsiang-Hsuan Liu , Fu-Hong Liu , Prudence W. H. Wong , Xiao-Ou Zhang

When optimizing problems with uncertain parameter values in a linear objective, decision-focused learning enables end-to-end learning of these values. We are interested in a stochastic scheduling problem, in which processing times are…

Machine Learning · Computer Science 2024-08-16 Kim van den Houten , David M. J. Tax , Esteban Freydell , Mathijs de Weerdt

This paper studies queueing problems with an endogenous number of machines with and without an initial queue, the novelty being that coalitions not only choose how to queue, but also on how many machines. For a given problem, agents can…

Theoretical Economics · Economics 2022-12-01 Ata Atay , Christian Trudeau

The NP-hard MATERIAL CONSUMPTION SCHEDULING Problem and closely related problems have been thoroughly studied since the 1980's. Roughly speaking, the problem deals with minimizing the makespan when scheduling jobs that consume non-renewable…

Computer Science and Game Theory · Computer Science 2021-03-15 Matthias Bentert , Robert Bredereck , Péter Györgyi , Andrzej Kaczmarczyk , Rolf Niedermeier

We are given a set of $n$ jobs and a single processor that can vary its speed dynamically. Each job $J_j$ is characterized by its processing requirement (work) $p_j$, its release date $r_j$ and its deadline $d_j$. We are also given a budget…

Data Structures and Algorithms · Computer Science 2013-09-09 Eric Angel , Evripidis Bampis , Vincent Chau

In this work we study the problem of scheduling tasks with dependencies in multiprocessor architectures where processors have different speeds. We present the preemptive algorithm "Save-Energy" that given a schedule of tasks it post…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-09 Ioannis Chatzigiannakis , Georgios Giannoulis , Paul G. Spirakis

This paper addresses a complex parallel machine scheduling problem with jobs divided into operations and operations grouped in families. Non-anticipatory family setup times are held at the beginning of each batch, defined by the combination…

Optimization and Control · Mathematics 2021-02-12 Davi Mecler , Victor Abu-Marrul , Rafael Martinelli , Arild Hoff

Perhaps surprisingly, it is possible to predict how long an algorithm will take to run on a previously unseen input, using machine learning techniques to build a model of the algorithm's runtime as a function of problem-specific instance…

Artificial Intelligence · Computer Science 2013-10-29 Frank Hutter , Lin Xu , Holger H. Hoos , Kevin Leyton-Brown

Scheduling jobs with precedence constraints on a set of identical machines to minimize the total processing time (makespan) is a fundamental problem in combinatorial optimization. In practical settings such as cloud computing, jobs are…

Data Structures and Algorithms · Computer Science 2014-04-29 Konstantin Makarychev , Debmalya Panigrahi

In this paper we consider two problems regarding the scheduling of available personnel in order to perform a given quantity of work, which can be arbitrarily decomposed into a sequence of activities. We are interested in schedules which…

Data Structures and Algorithms · Computer Science 2013-01-22 Mugurel Ionut Andreica , Romulus Andreica , Angela Andreica

We consider a natural extension of online makespan scheduling on identical parallel machines by introducing scenarios. A scenario is a subset of jobs, and the task of our problem is to find a global assignment of the jobs to machines so…

Data Structures and Algorithms · Computer Science 2025-12-10 Ekin Ergen

Multi-robot task allocation is one of the most fundamental classes of problems in robotics and is crucial for various real-world robotic applications such as search, rescue and area exploration. We consider the Single-Task robots and…

Robotics · Computer Science 2021-03-24 Haris Aziz , Hau Chan , Ágnes Cseh , Bo Li , Fahimeh Ramezani , Chenhao Wang

This paper proposes an analytical framework for modelling resource contention in multi-robot systems, where the travel times and task durations are uncertain. It uses several approximation methods to quickly and accurately calculate the…

Multiagent Systems · Computer Science 2020-03-17 Andrew W. Palmer , Andrew J. Hill , Steven J. Scheding

We consider the uniform parallel machines scheduling problem in the context of optimistic bilevel optimization, where two speed options are considered. In this scenario, the leader aims to minimize the weighted number of tardy jobs, while…

Optimization and Control · Mathematics 2026-03-06 Quentin Schau , Olivier Ploton , Vincent T'kindt , Han Hoogeveen , Federico Della Croce , Jippe Hoogeveen

A common issue for companies is that the volume of product orders may at times exceed the production capacity. We formally introduce two novel problems dealing with the question which orders to discard or postpone in order to meet certain…

Artificial Intelligence · Computer Science 2022-08-05 Patrick Rodler , Erich Teppan

The (Non-Preemptive) Throughput Maximization problem is a natural and fundamental scheduling problem. We are given $n$ jobs, where each job $j$ is characterized by a processing time and a time window, contained in a global interval $[0,T)$,…

Data Structures and Algorithms · Computer Science 2026-04-01 Alexander Armbruster , Fabrizio Grandoni , Antoine Tinguely , Andreas Wiese

Stochastic Processing Networks (SPNs) can be used to model communication networks, manufacturing systems, service systems, etc. We consider a real-time SPN where tasks generate jobs with strict deadlines according to their traffic patterns.…

Networking and Internet Architecture · Computer Science 2012-04-23 I-Hong Hou , Rahul Singh

Task graphs provide a simple way to describe scientific workflows (sets of tasks with dependencies) that can be executed on both HPC clusters and in the cloud. An important aspect of executing such graphs is the used scheduling algorithm.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-18 Jakub Beránek , Stanislav Böhm , Vojtěch Cima
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