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In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

This article introduces a new class of fast algorithms to approximate variational problems involving unbalanced optimal transport. While classical optimal transport considers only normalized probability distributions, it is important for…

Optimization and Control · Mathematics 2017-05-23 Lenaic Chizat , Gabriel Peyré , Bernhard Schmitzer , François-Xavier Vialard

As compute power increases with time, more involved and larger simulations become possible. However, it gets increasingly difficult to efficiently use the provided computational resources. Especially in particle-based simulations with a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-05 Sebastian Eibl , Ulrich Rüde

Efficient cargo packing and transport unit stacking play a vital role in enhancing logistics efficiency and reducing costs in the field of logistics. This article focuses on the challenging problem of loading transport units onto pallets,…

Robotics · Computer Science 2023-08-04 Marko Švaco , Filip Šuligoj , Bojan Šekoranja , Josip Vidaković

A parallel computer system is a collection of processing elements that communicate and cooperate to solve large computational problems efficiently. To achieve this, at first the large computational problem is partitioned into several tasks…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-09 Ardhendu Mandal , Subhas Chandra Pal

This work proposes a strategy for organising quadrotors around a payload to enable hovering without external stimuli, together with a MATLAB software for modelling the dynamics of a quadrotor-payload system. Based on geometric concepts, the…

Knapsack problems are among the most fundamental problems in optimization. In the Multiple Knapsack problem, we are given multiple knapsacks with different capacities and items with values and sizes. The task is to find a subset of items of…

Data Structures and Algorithms · Computer Science 2021-10-05 Franziska Eberle , Nicole Megow , Lukas Nölke , Bertrand Simon , Andreas Wiese

We study the classic fully dynamic load balancing problem on unrelated machines where jobs arrive and depart over time and the goal is minimizing the maximum load, or more generally the l_p-norm of the load vector. Previous work either…

Data Structures and Algorithms · Computer Science 2025-12-16 Yossi Azar , Niv Buchbinder , Tomer Epshtein

We consider the following dynamic load-balancing process: given an underlying graph $G$ with $n$ nodes, in each step $t\geq 0$, one unit of load is created, and placed at a randomly chosen graph node. In the same step, the chosen node picks…

Data Structures and Algorithms · Computer Science 2020-03-23 Dan Alistarh , Giorgi Nadiradze , Amirmojtaba Sabour

Parallel iterative applications often suffer from load imbalance, one of the most critical performance degradation factors. Hence, load balancing techniques are used to distribute the workload evenly to maximize performance. A key challenge…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard

In this paper we study dynamic averaging load balancing on general graphs. We consider infinite time and dynamic processes, where in every step new load items are assigned to randomly chosen nodes. A matching is chosen, and the load is…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-24 Petra Berenbrink , Lukas Hintze , Hamed Hosseinpour , Dominik Kaaser , Malin Rau

The dynamic load balancing algorithm based on the monitoring server load, self-similar characteristics of passing traffic have to provide a statistically uniform load distribution on servers, high performance, fault tolerance and capacity,…

Networking and Internet Architecture · Computer Science 2019-04-22 Lyudmila Kirichenko , Igor Ivanisenko , Tamara Radivilova

A major impediment towards the industrial adoption of decentralized distributed systems comes from the difficulty to theoretically prove that these systems exhibit the required behavior. In this paper, we use probability theory to analyze a…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-15 Bogdan Alexandru Caprarescu , Eva Kaslik , Dana Petcu

Load balancing is the process of improving the Performance of a parallel and distributed system through is distribution of load among the processors [1-2]. Most of the previous work in load balancing and distributed decision making in…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-10-05 Abbas Karimi , Faraneh Zarafshan , Adznan. b. Jantan , A. R Ramli , M. Iqbal b. Saripan

In parallel computing, a problem is divided into a set of smaller tasks that are distributed across multiple processing elements. Balancing the load of the processing elements is key to achieving good performance and scalability. If the…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-08-02 Omer Demirel , Ivo F. Sbalzarini

Parallel multiphysics simulations often suffer from load imbalances originating from the applied coupling of algorithms with spatially and temporally varying workloads. It is thus desirable to minimize these imbalances to reduce the time to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-03 Christoph Rettinger , Ulrich Rüde

This paper introduces a new optimization model that integrates the multi-port stowage planning problem with the container relocation problem. This problem is formulated as a binary mathematical programming model that must find the…

Load balancing algorithms play critical roles in systems where the workload has to be distributed across multiple resources, such as cores in multiprocessor system, computers in distributed computing, and network links. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-20 Shafinaz Islam

Optimal transport induces the Earth Mover's (Wasserstein) distance between probability distributions, a geometric divergence that is relevant to a wide range of problems. Over the last decade, two relaxations of optimal transport have been…

Optimization and Control · Mathematics 2023-01-18 Thibault Séjourné , Jean Feydy , François-Xavier Vialard , Alain Trouvé , Gabriel Peyré

We propose a method for performing autonomous docking of marine vessels using numerical optimal control. The task is framed as a dynamic positioning problem, with the addition of spatial constraints that ensure collision avoidance. The…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Andreas B. Martinsen , Anastasios M. Lekkas , Sebastien Gros
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