Abstract
Network flooding is among the most prevalent modes of denial-of-service (DoS) attacks. It can seriously degrade the network operation to the point of being unable to serve any legitimate user as intended, because all resources are occupied with serving malicious attack requests. We model flooding DoS attacks by a three-dimensional continuous-time Markov chain (CTMC) that accounts for the environment in which the network under attack operates and incorporates a random dropping policy as a potential defense mechanism. The state space is structured such that the generator matrix is block tridiagonal and the CTMC becomes numerically tractable by matrix analytic methods. This enables us to compute security measures accurately and efficiently. Numerical results for varying parameter settings are provided in order to study flooding DoS attacks.
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