Abstract

http://ssrn.com/abstract=1088004
 
 

References (43)



 


 



An Efficiency Measure for Dynamic Networks Modeled as Evolutionary Variational Inequalities with Application to the Internet and Vulnerability Analysis


Anna Nagurney


University of Massachusetts Amherst - Isenberg School of Management - Department of Finance & Operations Management

Qiang Qiang


Pennsylvania State University - Great Valley School of Graduate Professional Studies


Netnomics, Forthcoming

Abstract:     
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.

Number of Pages in PDF File: 28

Keywords: network efficiency, performance measurement, dynamic networks, Internet, Braess paradox, vulnerability analysis, critical network components, evolutionary variational inequalities

JEL Classification: C61, C63, C73, H56, P47

Accepted Paper Series


Download This Paper

Date posted: January 28, 2008  

Suggested Citation

Nagurney, Anna and Qiang, Qiang, An Efficiency Measure for Dynamic Networks Modeled as Evolutionary Variational Inequalities with Application to the Internet and Vulnerability Analysis. Netnomics, Forthcoming. Available at SSRN: http://ssrn.com/abstract=1088004

Contact Information

Anna Nagurney (Contact Author)
University of Massachusetts Amherst - Isenberg School of Management - Department of Finance & Operations Management ( email )
Department of Operations and Information Managemen
Amherst, MA 01003-4910
United States
Qiang Qiang
Pennsylvania State University - Great Valley School of Graduate Professional Studies ( email )
30 E. Swedesford Rd
Malvern, PA 19355
United States
Feedback to SSRN


Paper statistics
Abstract Views: 533
Downloads: 43
References:  43

© 2014 Social Science Electronic Publishing, Inc. All Rights Reserved.  FAQ   Terms of Use   Privacy Policy   Copyright   Contact Us
This page was processed by apollo2 in 0.344 seconds