Title
Probabilistic Virtual Link Embedding Under Demand Uncertainty
Abstract
This paper considers the problem of mapping virtual links to physical network paths, referred to as <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Virtual Link Embedding (VLE)</italic> , under the condition that bandwidth demands of virtual links are uncertain. To realize virtual links with predictable performance, the mapping is required to guarantee a bound on the congestion probability of the physical paths that embed the virtual links. To this end, we consider a general uncertainty model in which bandwidth demands of virtual links are expressed by random variables for which only the mean and variance (or a range) are known. We formulate the VLE problem as a nonlinear optimization program and design an algorithm called <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Equal Partition VLE (epVLE)</italic> to solve the problem by employing an approximate formulation that results in a second-order cone program (SOCP) that can be solved efficiently even for large networks. We then provide simulation results as well as model-driven and trace-driven experimental results from an SDN testbed to show the utility and efficiency of the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">epVLE</italic> algorithm in various network scenarios. We apply <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">epVLE</italic> to commonly studied small networks as well as randomly generated large networks. Our results show that <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">epVLE</italic> is able to satisfy the required link congestion constraint, and that it produces results that are very close to those obtained from the exact optimization model.
Year
DOI
Venue
2019
10.1109/TNSM.2019.2946949
IEEE Transactions on Network and Service Management
Keywords
DocType
Volume
Uncertainty,Optimization,Bandwidth,Computational modeling,Substrates,Approximation algorithms,Delays
Journal
16
Issue
ISSN
Citations 
4
1932-4537
1
PageRank 
References 
Authors
0.36
0
3
Name
Order
Citations
PageRank
Fatemeh Hosseini110.36
Alexander James210.36
Majid Ghaderi327131.77