An Extended Stochastic Model for Quantitative Security Analysis of Networked Systems

Q3 Mathematics Internet Mathematics Pub Date : 2012-08-01 DOI:10.1080/15427951.2012.654480
Maochao Xu, Shouhuai Xu
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引用次数: 35

Abstract

Abstract Quantitative security analysis of networked computer systems has been an open problem in computer security for decades. Recently, a promising approach was proposed in [Li et al. 11], which, however, made some strong assumptions including the exponential distribution of, and the independence among, the relevant random variables. In this paper, we substantially weaken these assumptions while offering, in addition to the same types of analytical results as in [Li et al. 11], methods for obtaining the desired security quantities in practice. Moreover, we investigate the problem from a higher-level abstraction, which also leads to both analytical results and practical methods for obtaining the desired security quantities. These should represent a significant step toward ultimately solving the problem of quantitative security analysis of networked computer systems.
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网络系统定量安全分析的扩展随机模型
网络计算机系统的定量安全分析一直是计算机安全领域的一个开放性问题。最近,[Li et al. 11]提出了一种很有前途的方法,然而,该方法做出了一些强有力的假设,包括相关随机变量的指数分布和相互之间的独立性。在本文中,我们大大削弱了这些假设,同时除了提供与[Li et al. 11]中相同类型的分析结果外,还提供了在实践中获得所需安全量的方法。此外,我们从一个更高层次的抽象来研究这个问题,这也导致了获得期望安全量的分析结果和实用方法。这些应该是朝着最终解决联网计算机系统的定量安全分析问题迈出的重要一步。
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Internet Mathematics
Internet Mathematics Mathematics-Applied Mathematics
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