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Partitioning an input graph over a set of workers is a complex operation. Objectives are twofold: split the work evenly, so that every worker gets an equal share, and minimize edge cut to achieve a good work locality (i.e. workers can work…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-28 Le Merrer Erwan , Liang Yizhong , Trédan Gilles

The virtual machine consolidation problem (VMCP) attempts to determine which servers to be activated, how to allocate virtual machines (VMs) to the activated servers, and how to migrate VMs among servers such that the summation of…

Data Structures and Algorithms · Computer Science 2022-12-26 Jiang-Yao Luo , Liang Chen , Wei-Kun Chen , Jian-Hua Yuan , Yu-Hong Dai

Cutting planes for mixed-integer linear programs (MILPs) are typically computed in rounds by iteratively solving optimization problems, the so-called separation. Instead, we reframe the problem of finding good cutting planes as a continuous…

Optimization and Control · Mathematics 2023-07-10 Didier Chételat , Andrea Lodi

We present a fast multiscale approach for the network minimum logarithmic arrangement problem. This type of arrangement plays an important role in a network compression and fast node/link access operations. The algorithm is of linear…

Data Structures and Algorithms · Computer Science 2010-04-30 Ilya Safro , Boris Temkin

This paper presents the first generic bi-objective binary linear branch-and-cut algorithm. Studying the impact of valid inequalities in solution and objective spaces, two cutting frameworks are proposed. The multi-point separation problem…

Discrete Mathematics · Computer Science 2024-10-14 Pierre Fouilhoux , Lucas Létocart , Yue Zhang

The performance of distributed and data-centric applications often critically depends on the interconnecting network. Applications are hence modeled as virtual networks, also accounting for resource demands on links. At the heart of…

Data Structures and Algorithms · Computer Science 2021-05-18 Aleksander Figiel , Leon Kellerhals , Rolf Niedermeier , Matthias Rost , Stefan Schmid , Philipp Zschoche

This work aims to jointly optimize the coding and node selection to minimize the processing time for distributed computing tasks over wireless edge networks. Since the joint optimization problem formulation is NP-hard and nonlinear, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-11 Cong T. Nguyen , Diep N. Nguyen , Dinh Thai Hoang , Hoang-Anh Pham , Eryk Dutkiewicz

In this paper, we investigate the use of the deep learning method for solving a well-known NP-hard single machine scheduling problem with the objective of minimizing the total tardiness. We propose a deep neural network that acts as a…

Optimization and Control · Mathematics 2024-02-28 Michal Bouška , Přemysl Šůcha , Antonín Novák , Zdeněk Hanzálek

Network slicing aims to enhance flexibility and efficiency in next-generation wireless networks by allocating the right resources to meet the diverse requirements of various applications. Managing these slices with machine learning (ML)…

Networking and Internet Architecture · Computer Science 2025-01-28 Shavbo Salehi , Pedro Enrique Iturria-Rivera , Medhat Elsayed , Majid Bavand , Raimundas Gaigalas , Yigit Ozcan , Melike Erol-Kantarci

Network slicing enables the deployment of multiple dedicated virtual sub-networks, i.e. slices on a shared physical infrastructure. Unlike traditional one-size-fits-all resource provisioning schemes, each network slice (NS) in 5G is…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Anousheh Gholami , Nariman Torkzaban , John S. Baras

With network slicing in 5G networks, Mobile Network Operators can create various slices for Service Providers (SPs) to accommodate customized services. Usually, the various Service Function Chains (SFCs) belonging to a slice are deployed on…

Networking and Internet Architecture · Computer Science 2020-08-24 Quang-Trung Luu , Sylvaine Kerboeuf , Alexandre Mouradian , Michel Kieffer

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

The multiway-cut problem is, given a weighted graph and k >= 2 terminal nodes, to find a minimum-weight set of edges whose removal separates all the terminals. The problem is NP-hard, and even NP-hard to approximate within 1+delta for some…

Data Structures and Algorithms · Computer Science 2015-06-02 David Karger , Phil Klein , Cliff Stein , Mikkel Thorup , Neal E. Young

Emerging 5G and beyond wireless industrial virtualized networks are expected to support a significant number of robotic manipulators. Depending on the processes involved, these industrial robots might result in significant volume of…

Robotics · Computer Science 2023-11-15 Yantong Wang , Vasilis Friderikos , Sebastian Andraos

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

Data Structures and Algorithms · Computer Science 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

Smart city has been consider the wave of the future and the route recommendation in networks is a fundamental problem in it. Most existing approaches for the shortest route problem consider that there is only one kind of cost in networks.…

Databases · Computer Science 2020-04-28 Yajun Yang , Hang Zhang , Hong Gao , Qinghua Hu , Xin Wang

We consider a routing problem which plays an important role in several applications, primarily in communication network planning and VLSI layout design. The original underlying graph algorithmic task is called Disjoint Paths problem. In…

Data Structures and Algorithms · Computer Science 2018-09-19 Rupei Xu , András Faragó

Rank-based Learning with deep neural network has been widely used for image cropping. However, the performance of ranking-based methods is often poor and this is mainly due to two reasons: 1) image cropping is a listwise ranking task rather…

Computer Vision and Pattern Recognition · Computer Science 2019-08-28 Weirui Lu , Xiaofen Xing , Bolun Cai , Xiangmin Xu

To enhance solution accuracy and training efficiency in neural network approximation to partial differential equations, partitioned neural networks can be used as a solution surrogate instead of a single large and deep neural network…

Numerical Analysis · Mathematics 2023-08-17 Hee Jun Yang , Hyea Hyun Kim

The NP-hard maximum value preordering problem is both a joint relaxation and a hybrid of the clique partition problem (a clustering problem) and the partial ordering problem. Toward approximate solutions and lower bounds, we introduce a…

Machine Learning · Computer Science 2025-08-29 Jannik Irmai , Maximilian Moeller , Bjoern Andres