TY - JOUR
T1 - An efficiency measure for dynamic networks modeled as evolutionary variational inequalities with application to the Internet and vulnerability analysis
AU - Nagurney, Anna
AU - Qiang, Qiang
N1 - Funding Information:
Acknowledgements The authors are grateful to the four anonymous reviewers for helpful comments and suggestions on an earlier version of this paper. This research was supported, in part, by NSF Grant No.: IIS-0002647, under the Management of Knowledge Intensive Dynamic Systems (MKIDS) program. The first author also acknowledges support from the John F. Smith Memorial Fund at the University of Massachusetts at Amherst. The support provided is very much appreciated.
PY - 2008
Y1 - 2008
N2 - In this paper, we propose an efficiency/performance measure for dynamic networks, which have been modeled as evolutionary variational inequalities. Such applications include the Internet. The measure, which captures demands, flows, and costs/latencies over time, allows for the identification of the importance of the nodes and links and their rankings. We provide both continuous time and discrete time versions of the efficiency measure. We illustrate the efficiency measure for the time-dependent (demand-varying) Braess paradox and demonstrate how it can be used to assess the most vulnerable nodes and links in terms of the greatest impact of their removal on the efficiency/performance of the dynamic network over time.
AB - In this paper, we propose an efficiency/performance measure for dynamic networks, which have been modeled as evolutionary variational inequalities. Such applications include the Internet. The measure, which captures demands, flows, and costs/latencies over time, allows for the identification of the importance of the nodes and links and their rankings. We provide both continuous time and discrete time versions of the efficiency measure. We illustrate the efficiency measure for the time-dependent (demand-varying) Braess paradox and demonstrate how it can be used to assess the most vulnerable nodes and links in terms of the greatest impact of their removal on the efficiency/performance of the dynamic network over time.
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U2 - 10.1007/s11066-008-9008-z
DO - 10.1007/s11066-008-9008-z
M3 - Article
AN - SCOPUS:40849111870
SN - 1385-9587
VL - 9
SP - 1
EP - 20
JO - NETNOMICS: Economic Research and Electronic Networking
JF - NETNOMICS: Economic Research and Electronic Networking
IS - 1
ER -