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Related papers: On the Virtual Network Embedding polytope

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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 the virtual network embedding problem, the goal is to map embed a set of virtual network instances to a given physical network substrate at minimal cost, while respecting the capacity constraints of the physical network. This NP-hard…

Networking and Internet Architecture · Computer Science 2025-05-16 Oleg Kolosov , Gala Yadgar , David Breitgand , Dean H. Lorenz

Network virtualization is a technology of running multiple heterogeneous network architecture on a shared substrate network. One of the crucial components in network virtualization is virtual network embedding, which provides a way to…

Networking and Internet Architecture · Computer Science 2012-07-10 Donggyu Yun , Jungseul Ok , Bongjhin Shin , Soobum Park , Yung Yi

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

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

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

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

Network virtualization enables Internet service providers to run multiple heterogeneous and dedicated network architectures for different customers on a shared substrate. In existing works on virtual network embedding (VNE), each customer…

Networking and Internet Architecture · Computer Science 2023-07-13 Jiangnan Cheng , Yingjie Bi , Ao Tang

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

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

Virtual networks are an innovative abstraction that extends cloud computing concepts to the network: by supporting bandwidth reservations between compute nodes (e.g., virtual machines), virtual networks can provide a predictable performance…

Computational Complexity · Computer Science 2023-11-10 Sergey Pankratov , Vitaly Aksenov , Stefan Schmid

Network virtualization is an important concept to overcome the ossification of today's Internet as it facilitates innovation also in the network core and as it promises a more efficient use of the given resources and infrastructure. Virtual…

Networking and Internet Architecture · Computer Science 2012-02-17 Guy Even , Moti Medina , Gregor Schaffrath , Stefan Schmid

The Virtual Network Embedding Problem (VNEP) captures the essence of many resource allocation problems of today's infrastructure providers, which offer their physical computation and networking resources to customers. Customers request…

Networking and Internet Architecture · Computer Science 2018-05-07 Matthias Rost , Stefan Schmid

Many resource allocation problems in the cloud can be described as a basic Virtual Network Embedding Problem (VNEP): the problem of finding a mapping of a request graph (describing a workload) onto a substrate graph (describing the physical…

Networking and Internet Architecture · Computer Science 2018-03-29 Matthias Rost , Stefan Schmid

Many resource allocation problems in the cloud can be described as a basic Virtual Network Embedding Problem (VNEP): finding mappings of request graphs (describing the workloads) onto a substrate graph (describing the physical…

Networking and Internet Architecture · Computer Science 2018-03-14 Matthias Rost , Stefan Schmid

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

Virtual network embedding (VNE) is an crucial part of network virtualization (NV), which aims to map the virtual networks (VNs) to a shared substrate network (SN). With the emergence of various delay-sensitive applications, how to improve…

Networking and Internet Architecture · Computer Science 2022-02-04 Peiying Zhang , Xue Pang , Yongjing Ni , Haipeng Yao , Xin Li

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 (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

This paper proposes a new approximation algorithm for the offline Virtual Network Embedding Problem (VNEP) with latency constraints. Given is a set of virtual networks with computational demands on nodes and bandwidth demands together with…

Networking and Internet Architecture · Computer Science 2021-04-20 Robin Münk , Matthias Rost , Stefan Schmid , Harald Räcke
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