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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

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

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

The Virtual Network Embedding Problem (VNEP) considers the efficient allocation of resources distributed in a substrate network to a set of request networks. Many existing works discuss either heuristics or exact algorithms, resulting in a…

Networking and Internet Architecture · Computer Science 2018-10-29 Elias Döhne

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

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

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 is one of the most promising technologies for future networking and considered as a critical IT resource that connects distributed, virtualized Cloud Computing services and different components such as storage,…

Networking and Internet Architecture · Computer Science 2018-01-31 Duc-Lam Nguyen , HyungHo Byun , Naeon Kim , Chong-Kwon Kim

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 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

One of the main objectives of cloud computing providers is increasing the revenue of their cloud datacenters by accommodating virtual network requests as many as possible. However, arrival and departure of virtual network requests fragment…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-11 Ashraf A. Shahin

The SDN and NFV paradigms enable novel network services which can be realized and embedded in a flexible and rapid manner. For example, SDN can be used to flexibly steer traffic from a source to a destination through a sequence of…

Networking and Internet Architecture · Computer Science 2016-04-11 Matthias Rost , Stefan Schmid

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 Function Virtualization (NFV) has the potential to significantly reduce the capital and operating expenses, shorten product release cycle, and improve service agility. In this paper, we focus on minimizing the total number of…

Networking and Internet Architecture · Computer Science 2017-02-07 Yu Sang , Bo Ji , Gagan R. Gupta , Xiaojiang Du , Lin Ye

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 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

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

In this paper, we study the virtual network function (VNF) placement problem in mobile edge computing (MEC)-enabled 5G networks to meet the stringent reliability and latency requirements of uRLLC applications. We pose it as a constrained…

Networking and Internet Architecture · Computer Science 2025-08-21 Aqsa Sayeed , Samaresh Bera

Virtual Network Embedding (VNE) is a key enabler of network slicing, yet most formulations assume that each Virtual Network Request (VNR) has a fixed topology. Recently, VNE with Alternative topologies (VNEAP) was introduced to capture…

Networking and Internet Architecture · Computer Science 2026-04-29 Ali Al Housseini , Cristina Rottondi , Omran Ayoub
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