On defense strategies for system of systems using aggregated correlations
Abstract
We consider a System of Systems (SoS) wherein each system Si, i = 1; 2; ... ;N, is composed of discrete cyber and physical components which can be attacked and reinforced. We characterize the disruptions using aggregate failure correlation functions given by the conditional failure probability of SoS given the failure of an individual system. We formulate the problem of ensuring the survival of SoS as a game between an attacker and a provider, each with a utility function composed of asurvival probability term and a cost term, both expressed in terms of the number of components attacked and reinforced. The survival probabilities of systems satisfy simple productform, firstorder differential conditions, which simplify the Nash Equilibrium (NE) conditions. We derive the sensitivity functions that highlight the dependence of SoS survival probability at NE on cost terms, correlation functions, and individual system survival probabilities.We apply these results to a simplified model of distributed cloud computing infrastructure.
 Authors:

 ORNL
 Hang Seng Management College, Hon Kong
 University of Stavanger, Norway
 Texas A&M University, Kingsville, TX, USA
 University at Buffalo (SUNY)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21); USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1399527
 DOE Contract Number:
 AC0500OR22725
 Resource Type:
 Conference
 Resource Relation:
 Conference: 11th Annual IEEE International Systems Conference (SYSCON2017)  Montreal, , Canada  4/24/2017 4:00:00 AM4/27/2017 4:00:00 AM
 Country of Publication:
 United States
 Language:
 English
Citation Formats
Rao, Nageswara S., Imam, Neena, Ma, Chris Y. T., Hausken, Kjell, He, Fei, and Zhuang, Jun. On defense strategies for system of systems using aggregated correlations. United States: N. p., 2017.
Web. doi:10.1109/SYSCON.2017.7934817.
Rao, Nageswara S., Imam, Neena, Ma, Chris Y. T., Hausken, Kjell, He, Fei, & Zhuang, Jun. On defense strategies for system of systems using aggregated correlations. United States. https://doi.org/10.1109/SYSCON.2017.7934817
Rao, Nageswara S., Imam, Neena, Ma, Chris Y. T., Hausken, Kjell, He, Fei, and Zhuang, Jun. Sat .
"On defense strategies for system of systems using aggregated correlations". United States. https://doi.org/10.1109/SYSCON.2017.7934817. https://www.osti.gov/servlets/purl/1399527.
@article{osti_1399527,
title = {On defense strategies for system of systems using aggregated correlations},
author = {Rao, Nageswara S. and Imam, Neena and Ma, Chris Y. T. and Hausken, Kjell and He, Fei and Zhuang, Jun},
abstractNote = {We consider a System of Systems (SoS) wherein each system Si, i = 1; 2; ... ;N, is composed of discrete cyber and physical components which can be attacked and reinforced. We characterize the disruptions using aggregate failure correlation functions given by the conditional failure probability of SoS given the failure of an individual system. We formulate the problem of ensuring the survival of SoS as a game between an attacker and a provider, each with a utility function composed of asurvival probability term and a cost term, both expressed in terms of the number of components attacked and reinforced. The survival probabilities of systems satisfy simple productform, firstorder differential conditions, which simplify the Nash Equilibrium (NE) conditions. We derive the sensitivity functions that highlight the dependence of SoS survival probability at NE on cost terms, correlation functions, and individual system survival probabilities.We apply these results to a simplified model of distributed cloud computing infrastructure.},
doi = {10.1109/SYSCON.2017.7934817},
url = {https://www.osti.gov/biblio/1399527},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2017},
month = {4}
}