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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

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 the unsplittable flow problem on a path, we are given a capacitated path $P$ and $n$ tasks, each task having a demand, a profit, and start and end vertices. The goal is to compute a maximum profit set of tasks, such that for each edge…

Data Structures and Algorithms · Computer Science 2015-03-19 Paul Bonsma , Jens Schulz , Andreas Wiese

Euclidean Signed Distance Field (ESDF) is useful for online motion planning of aerial robots since it can easily query the distance and gradient information against obstacles. Fast incrementally built ESDF map is the bottleneck for…

Robotics · Computer Science 2019-07-29 Luxin Han , Fei Gao , Boyu Zhou , Shaojie Shen

Multi-Agent Path Finding (MAPF) focuses on planning collision-free paths for multiple agents. However, during the execution of a MAPF plan, agents may encounter unexpected delays, which can lead to inefficiencies, deadlocks, or even…

Multiagent Systems · Computer Science 2025-01-14 He Jiang , Muhan Lin , Jiaoyang Li

Classical Amdahl's Law conceptualized the limit of speedup for an era of fixed serial-parallel decomposition and homogeneous replication. Modern heterogeneous systems need a different conceptual framework: constrained resources must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Chien-Ping Lu

Federated learning (FL) is a distributed machine learning architecture that leverages a large number of workers to jointly learn a model with decentralized data. FL has received increasing attention in recent years thanks to its data…

Machine Learning · Computer Science 2021-05-05 Haibo Yang , Minghong Fang , Jia Liu

This paper proposes a novel analysis for the Scaffold algorithm, a popular method for dealing with data heterogeneity in federated learning. While its convergence in deterministic settings--where local control variates mitigate client…

Machine Learning · Statistics 2025-03-11 Paul Mangold , Alain Durmus , Aymeric Dieuleveut , Eric Moulines

The ever increasing adoption of mobile devices with limited energy storage capacity, on the one hand, and more awareness of the environmental impact of massive data centres and server pools, on the other hand, have both led to an increased…

Discrete Mathematics · Computer Science 2018-06-14 Rodrigo A. Carrasco , Garud Iyengar , Cliff Stein

We study the problem of scheduling sensors in a resource-constrained linear dynamical system, where the objective is to select a small subset of sensors from a large network to perform the state estimation task. We formulate this problem as…

Systems and Control · Computer Science 2018-04-05 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu

We consider the speed planning problem for a robotic manipulator. In particular, we present an algorithm for finding the time-optimal speed law along an assigned path that satisfies velocity and acceleration constraints and respects the…

Robotics · Computer Science 2018-10-04 Luca Consolini , Marco Locatelli , Andrea Minari , Akos Nagy , Istvan Vajk

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

Design and analysis of constant competitive deterministic semi-online algorithms for the multi-processor scheduling problem with small number of identical machines have gained significant research interest in the last two decades. In the…

Data Structures and Algorithms · Computer Science 2021-06-10 Debasis Dwibedy , Rakesh Mohanty

Federated learning (FL) enables collaborative model training across distributed edge devices while preserving data privacy, and typically operates in a round-based synchronous manner. However, synchronous FL suffers from latency bottlenecks…

Machine Learning · Computer Science 2026-03-17 Asaf Goren , Natalie Lang , Nir Shlezinger , Alejandro Cohen

The problem of designing efficient feedback-based scheduling policies for chunked codes (CC) over packet networks with delay and loss is considered. For networks with feedback, two scheduling policies, referred to as random push (RP) and…

Information Theory · Computer Science 2012-07-20 Anoosheh Heidarzadeh , Amir H. Banihashemi

All real time tasks which are termed as critical tasks by nature have to complete its execution before its deadline, even in presence of faults. The most popularly used real time task assignment algorithms are First Fit (FF), Best Fit (BF),…

Operating Systems · Computer Science 2016-09-08 A. Christy Persya , T. R. Gopalakrishnan Nair

We consider distributed stochastic optimization problems that are solved with master/workers computation architecture. Statistical arguments allow to exploit statistical similarity and approximate this problem by a finite-sum problem, for…

Scheduling is an important task allowing parallel systems to perform efficiently and reliably. For modern computation systems, divisible load is a special type of data which can be divided into arbitrary sizes and independently processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-07 Fei Wu , Yang Cao , Thomas Robertazzi

We study the classical scheduling problem of minimizing the makespan of a set of unit size jobs with precedence constraints on parallel identical machines. Research on the problem dates back to the landmark paper by Graham from 1966 who…

Data Structures and Algorithms · Computer Science 2025-01-17 Syamantak Das , Andreas Wiese

Parametric analysis is a powerful tool for designing modern embedded systems, because it permits to explore the space of design parameters, and to check the robustness of the system with respect to variations of some uncontrollable…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-07 Youcheng Sun , Romain Soulat , Giuseppe Lipari , Étienne André , Laurent Fribourg
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