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Virtual Network Embedding (VNE) is the core combinatorial problem of Network Slicing, a 5G technology which enables telecommunication operators to propose diverse service-dedicated virtual networks, embedded onto a common substrate network.…

Discrete Mathematics · Computer Science 2025-12-22 Amal Benhamiche , Pierre Fouilhoux , Lucas Létocart , Nancy Perrot , Alexis Schneider

Network virtualization techniques allow for the coexistence of many virtual networks (VNs) jointly sharing the resources of an underlying substrate network. The Virtual Network Embedding problem (VNE) arises when looking for the most…

Networking and Internet Architecture · Computer Science 2015-02-02 Stefano Coniglio , Boris Grimm , Arie M. C. A. Koster , Martin Tieves , Axel Werner

Network virtualization provides a promising solution to overcome the ossification of current networks, allowing multiple Virtual Network Requests (VNRs) embedded on a common infrastructure. The major challenge in network virtualization is…

Networking and Internet Architecture · Computer Science 2018-12-18 Haitao Wu , Fen Zhou , Yaojun Chen , Ran Zhang

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

Network virtualization (NV) is a technology with broad application prospects. Virtual network embedding (VNE) is the core orientation of VN, which aims to provide more flexible underlying physical resource allocation for user function…

Networking and Internet Architecture · Computer Science 2022-02-07 Peiying Zhang , Chao Wang , Neeraj Kumar , Weishan Zhang , Lei Liu

We study a class of nested path problems, in which every path-based variable can be decomposed into a sequence of subpaths. Subpaths must satisfy local resources, while paths must satisfy additional global resources. This paper develops a…

Optimization and Control · Mathematics 2026-05-28 Bart van Rossum , Rolf van Lieshout , Alexandre Jacquillat

Network virtualization has become a fundamental technology to deliver services for emerging data-intensive applications in fields such as bioinformatics and retail analytics hosted at multi-data center scales. To create and maintain a…

Networking and Internet Architecture · Computer Science 2016-11-15 Dmitrii Chemodanov , Prasad Calyam , Flavio Esposito , Andrei Sukhov

Virtualization facilitates heterogeneous cloud applications to share the same physical infrastructure with admirable flexibility, while resource efficiency and survivability are critical concerns for virtual network embedding (VNE). As more…

Networking and Internet Architecture · Computer Science 2020-08-19 Subhadeep Sahoo

Virtual Network Embedding (VNE) is a technique for mapping virtual networks onto a physical network infrastructure, enabling multiple virtual networks to coexist on a shared physical network. Previous works focused on implementing…

Networking and Internet Architecture · Computer Science 2025-02-05 Farzad Habibi , Juncheng Fang

One of the fundamental problems in network virtualization is Virtual Network Embedding (VNE). The VNE problem deals with finding an effective mapping of the virtual nodes & links onto the substrate network. The recent advances in network…

Networking and Internet Architecture · Computer Science 2016-02-09 Luís Ferrolho , Max Alaluna , Nuno Neves , Fernando M. V. Ramos

The traditional Internet has encountered a bottleneck in allocating network resources for emerging technology needs. Network virtualization (NV) technology as a future network architecture, the virtual network embedding (VNE) algorithm it…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-08 Shidong Zhang , Chao Wang , Junsan Zhang , Youxiang Duan , Xinhong You , Peiying Zhang

We initiate the polyhedral study of the Virtual Network Embedding (VNE) problem, which arises in modern telecommunication networks. We propose new valid inequalities for the so-called flow formulation. We then prove, through a dedicated…

Discrete Mathematics · Computer Science 2026-01-19 Amal Benhamiche , Pierre Fouilhoux , Lucas Létocart , Nancy Perrot , Alexis Schneider

Network virtualization has caught the attention of many researchers in recent years. It facilitates the process of creating several virtual networks over a single physical network. Despite this advantage, however, network virtualization…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-01 Amal S. Alzahrani , Ashraf A. Shahin

Network virtualization allows hosting applications with diverse computation and communication requirements on shared edge infrastructure. Given a set of requests for deploying virtualized applications, the edge provider has to deploy a…

Networking and Internet Architecture · Computer Science 2025-07-02 Oleg Kolosov , David Breitgand , Dean H. Lorenz , Gala Yadgar

The team formation and routing problem is a challenging optimization problem with several real-world applications in fields such as airport, healthcare, and maintenance operations. To solve this problem, exact solution methods based on…

Machine Learning · Computer Science 2025-09-22 Giacomo Dall'Olio , Rainer Kolisch , Yaoxin Wu

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

We propose a randomized method for solving linear programs with a large number of columns but a relatively small number of constraints. Since enumerating all the columns is usually unrealistic, such linear programs are commonly solved by…

Optimization and Control · Mathematics 2023-11-29 Yi-Chun Akchen , Velibor V. Mišić

Network virtualization is an efficient approach of solving the ossification problem of the Internet. It has become a promising way of supporting lots of heterogeneous network onto substrate physical network. A major challenge in network…

Networking and Internet Architecture · Computer Science 2014-11-14 Neha Mishra

Efficient resource allocation and optical switching promise high key rates, network adaptability, and cost reduction in repeaterless quantum communication networks. However, identifying optimal switching configurations remains a significant…

Virtual network embedding (VNE) algorithm is always the key problem in network virtualization (NV) technology. At present, the research in this field still has the following problems. The traditional way to solve VNE problem is to use…

Networking and Internet Architecture · Computer Science 2022-02-08 Peiying Zhang , Chao Wang , Chunxiao Jiang , Abderrahim Benslimane
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