On the computational complexity of the virtual network embedding problem

E Amaldi, S Coniglio, AMCA Koster, M Tieves - Electronic Notes in Discrete …, 2016 - Elsevier
Given a graph representing a substrate (or physical) network with node and edge capacities
and a set of virtual networks with node capacity demands and node-to-node traffic demands …

Virtual network embedding approximations: Leveraging randomized rounding

M Rost, S Schmid - IEEE/ACM Transactions on Networking, 2019 - ieeexplore.ieee.org
The Virtual Network Embedding Problem (VNEP) captures the essence of many resource
allocation problems. In the VNEP, customers request resources in the form of Virtual …

Virtual network embedding through topology awareness and optimization

X Cheng, S Su, Z Zhang, K Shuang, F Yang, Y Luo… - Computer Networks, 2012 - Elsevier
Embedding a sequence of virtual networks (VNs) into a given physical network substrate to
accommodate as many VN requests as possible is known to be NP-hard. This paper …

On the hardness and inapproximability of virtual network embeddings

M Rost, S Schmid - IEEE/ACM transactions on networking, 2020 - ieeexplore.ieee.org
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 …

Charting the complexity landscape of virtual network embeddings

M Rost, S Schmid - 2018 IFIP networking conference (IFIP …, 2018 - ieeexplore.ieee.org
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 …

Competitive and deterministic embeddings of virtual networks

G Even, M Medina, G Schaffrath, S Schmid - Theoretical Computer Science, 2013 - Elsevier
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 …

Novel location-constrained virtual network embedding LC-VNE algorithms towards integrated node and link mapping

L Gong, H Jiang, Y Wang, Z Zhu - IEEE/ACM Transactions on …, 2016 - ieeexplore.ieee.org
This paper tries to solve the location-constrained virtual network embedding (LC-VNE)
problem efficiently. We first investigate the complexity of LC-VNE, and by leveraging the …

Resolve the virtual network embedding problem: A column generation approach

Q Hu, Y Wang, X Cao - 2013 Proceedings IEEE INFOCOM, 2013 - ieeexplore.ieee.org
In this paper, we study the virtual network embedding (VNE) problem in the network
virtualization context, which aims at mapping the virtual network requests of the service …

On distributed virtual network embedding with guarantees

F Esposito, D Di Paola, I Matta - IEEE/ACM Transactions on …, 2014 - ieeexplore.ieee.org
To provide wide-area network services, resources from different infrastructure providers are
needed. Leveraging the consensus-based resource allocation literature, we propose a …

A path generation approach to embedding of virtual networks

R Mijumbi, J Serrat, JL Gorricho… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
As the virtualization of networks continues to attract attention from both industry and
academia, the virtual network embedding (VNE) problem remains a focus of researchers …