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Quantitative security analysis of networked computer systems is one of thedecades-long open problems in computer security. Recently, a promising approachwas proposed in \cite{XuTDSC11}, which however made some strong assumptionsincluding the exponential distribution of, and the independence between, therelevant random variables. In this paper, we substantially weaken theseassumptions while offering, in addition to the same types of analytical resultsas in \cite{XuTDSC11}, methods for obtaining the desired security quantities inpractice. Moreover, we investigate the problem from a higher-level abstraction,which also leads to both analytical results and practical methods for obtainingthe desired security quantities. These would represent a significant steptoward ultimately solving the problem of quantitative security analysis ofnetworked computer systems.

An Extended Stochastic Model for Quantitative Security Analysis of Networked Systems