Computing Optimal Attack Strategies Using Unconstrained Influence Diagrams

  • Viliam Lisý
  • Radek Píbil
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8039)


Attack graphs are a formalism for capturing the most important ways to compromise a system. They are used for evaluating risks and designing appropriate countermeasures. Analysis of attack graphs sometimes requires computing the optimal attack strategy that minimizes the expected cost of the attacker in case of stochastically failing actions. We point out several results in AI literature that are highly relevant to this problem, but remain unnoticed by security literature. We note the problem has been shown to be NP-hard and we present how the problem can be reduced to the problem of solving an unconstrained influence diagram (UID). We use an existing UID solver to assess the scalability of the approach, showing that it can be used to optimally solve attack graphs with up to 20 attack actions.


dependency attack graph optimal attack strategy unconstrained influence diagram 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Viliam Lisý
    • 1
  • Radek Píbil
    • 1
  1. 1.Agent Technology Center, Department of Computer Science and Engineering, Faculty of Electrical EngineeringCzech Technical University in PragueCzech Republic

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