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This paper proposes a distributed algorithm for a network of agents to solve an optimization problem with separable objective function and locally coupled constraints. Our strategy is based on reformulating the original constrained problem…

Optimization and Control · Mathematics 2021-03-12 Priyank Srivastava , Jorge Cortes

Many state-of-the-art Segment Routing (SR) Traffic Engineering (TE) algorithms rely on Linear Program (LP)-based optimization. However, the poor scalability of the latter and the resulting high computation times impose severe restrictions…

Networking and Internet Architecture · Computer Science 2024-08-27 Alexander Brundiers , Timmy Schüller , Nils Aschenbruck

The cutting plane method is a key technique for successful branch-and-cut and branch-price-and-cut algorithms that find the exact optimal solutions for various vehicle routing problems (VRPs). Among various cuts, the rounded capacity…

Artificial Intelligence · Computer Science 2023-10-31 Hyeonah Kim , Jinkyoo Park , Changhyun Kwon

We study the complexity of the Virtual Network Embedding Problem (VNE), which is the combinatorial core of several telecommunication problems related to the implementation of virtualization technologies, such as Network Slicing. VNE is to…

Discrete Mathematics · Computer Science 2025-01-20 Amal Benhamiche , Pierre Fouilhoux , Lucas Létocart , Nancy Perrot , Alexis Schneider

In this paper, we consider the bandwidth-delay-hop constrained routing problem in large-scaled software defined networks. A number of demands, each of which specifies a source vertex and a sink vertex, are required to route in a given…

Networking and Internet Architecture · Computer Science 2019-02-28 Chenyang Xu , Liangde Tao , Huajingling Wu , Deshi Ye , Guochuan Zhang

Distributed and iterative network utility maximization algorithms, such as the primal-dual algorithms or the network-user decomposition algorithms, often involve trajectories where the iterates may be infeasible, convergence to the optimal…

Optimization and Control · Mathematics 2018-12-11 Akhil P T , Rajesh Sundaresan

Routing and scheduling problems are fundamental problems in combinatorial optimization, and also have many applications. Most variations of these problems are NP-Hard, so we need to use heuristics to solve these problems on large instances,…

Data Structures and Algorithms · Computer Science 2015-02-20 Arindam Pal

Unsplittable flow problems cover a wide range of telecommunication and transportation problems and their efficient resolution is key to a number of applications. In this work, we study algorithms that can scale up to large graphs and…

Data Structures and Algorithms · Computer Science 2023-03-29 François Lamothe , Emmanuel Rachelson , Alain Haït , Cedric Baudoin , Jean-Baptiste Dupe

We describe an efficient implementation of a recent simplex-type algorithm for the exact solution of separated continuous linear programs, and compare it with linear programming approximation of these problems obtained via discretization of…

Optimization and Control · Mathematics 2021-10-07 Evgeny Shindin , Michael Masin , Gideon Weiss , Alexander Zadorojniy

Deep convolutional neural networks (CNNs) have achieved impressive performance in many computer vision tasks. However, their large model sizes require heavy computational resources, making pruning redundant filters from existing pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Kiran Purohit , Anurag Reddy Parvathgari , Sourangshu Bhattacharya

Network slicing has emerged as an integral concept in 5G, aiming to partition the physical network infrastructure into isolated slices, customized for specific applications. We theoretically formulate the key performance metrics of an…

Networking and Internet Architecture · Computer Science 2024-04-30 Homa Esfahanizadeh , Vipindev Adat Vasudevan , Benjamin D. Kim , Shruti Siva , Jennifer Kim , Alejandro Cohen , Muriel Médard

Coarse-to-fine models and cascade segmentation architectures are widely adopted to solve the problem of large scale variations in medical image segmentation. However, those methods have two primary limitations: the first-stage segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-02-12 Jiahao Xie , Sheng Zhang , Jianwei Lu , Ye Luo

Mobile edge computing (MEC) emerges as a promising solution for servicing delay-sensitive tasks at the edge network. A body of recent literature started to focus on cost-efficient service placement and request scheduling. This work…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-27 Lina Su , Ne Wang , Ruiting Zhou , Zongpeng Li

5G and beyond is expected to enable various emerging use cases with diverse performance requirements from vertical industries. To serve these use cases cost-effectively, network slicing plays a key role in dynamically creating virtual…

Networking and Internet Architecture · Computer Science 2022-08-01 Qiang Liu , Nakjung Choi , Tao Han

The core innovation in future 5G cellular networksnetwork slicing, aims at providing a flexible and efficient framework of network organization and resource management. The revolutionary network architecture based on slices, makes most of…

Networking and Internet Architecture · Computer Science 2017-09-13 Bin Han , Shreya Tayade , Hans D. Schotten

Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

Modern computationally-intensive applications often operate under time constraints, necessitating acceleration methods and distribution of computational workloads across multiple entities. However, the outcome is either achieved within the…

Information Theory · Computer Science 2024-02-13 Homa Esfahanizadeh , Alejandro Cohen , Shlomo Shamai , Muriel Medard

Positive linear programs (LP), also known as packing and covering linear programs, are an important class of problems that bridges computer science, operations research, and optimization. Despite the consistent efforts on this problem, all…

Data Structures and Algorithms · Computer Science 2016-11-15 Zeyuan Allen-Zhu , Lorenzo Orecchia

Given an undirected graph, the k-vertex cut problem (k-VCP) asks for a minimum-cost set of vertices whose removal yields at least k connected components in the resulting graph. The k-VCP is an important problem in network optimization, with…

Optimization and Control · Mathematics 2026-02-06 Fabio Ciccarelli , Fabio Furini , Christopher Hojny , Marco Lübbecke

Online linear programming (OLP) has gained significant attention from both researchers and practitioners due to its extensive applications, such as online auction, network revenue management, order fulfillment and advertising. Existing OLP…

Data Structures and Algorithms · Computer Science 2025-11-18 Guokai Li , Zizhuo Wang , Jingwei Zhang
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