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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): 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

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

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

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 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

We revisit a classical problem in transportation, known as the continuous (bilevel) network design problem, CNDP for short. We are given a graph for which the latency of each edge depends on the ratio of the edge flow and the capacity…

Computer Science and Game Theory · Computer Science 2013-11-13 Martin Gairing , Tobias Harks , Max Klimm

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

Embedding entities and relations into continuous vector spaces has attracted a surge of interest in recent years. Most embedding methods assume that all test entities are available during training, which makes it time-consuming to retrain…

Machine Learning · Computer Science 2024-02-23 Yongquan He , Zihan Wang , Peng Zhang , Zhaopeng Tu , Zhaochun Ren

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

With the advent of Network Function Virtualization (NFV), network services that traditionally run on proprietary dedicated hardware can now be realized using Virtual Network Functions (VNFs) that are hosted on general-purpose commodity…

Networking and Internet Architecture · Computer Science 2022-01-21 Gamal Sallam , Bo Ji

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

The virtualization and softwarization of modern computer networks enables the definition and fast deployment of novel network services called service chains: sequences of virtualized network functions (e.g., firewalls, caches, traffic…

Networking and Internet Architecture · Computer Science 2015-06-16 Tamas Lukovszki , Stefan Schmid

Network Functions Virtualization (NFV) and Multi-access Edge Computing (MEC) play crucial roles in 5G networks for dynamically provisioning diverse communication services with heterogeneous service requirements. In particular, while NFV…

Networking and Internet Architecture · Computer Science 2021-06-21 Prabhu Kaliyammal Thiruvasagam , Abhishek Chakraborty , C. Siva Ram Murthy

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

Recently, considerable research attention has been paid to network embedding, a popular approach to construct feature vectors of vertices. Due to the curse of dimensionality and sparsity in graphical datasets, this approach has become…

Machine Learning · Computer Science 2018-11-15 Xi Liu , Ping-Chun Hsieh , Nick Duffield , Rui Chen , Muhe Xie , Xidao Wen

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

Current virtual reality systems are typically limited by performance/cost, usability (size), or a combination of both. By using a networked client/server environment, we have solved these limitations for the client. However, in doing so we…

Human-Computer Interaction · Computer Science 2019-10-11 Gregory Gutmann , Akihiko Konagaya
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