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Regular version of the site

Book chapter

A Model for Network Virus Protection Based on Regenerative Process

P. 80-84.

We construct a mathematical model of anti-virus protection of local area networks. The 
model belongs to the class of regenerative processes. To protect the network from the 
external attacks of viruses and the spread of viruses within the network we apply two 
methods: updating antivirus signatures and reinstallings of operating systems (OS). 
Operating systems are reinstalled in the case of failure of any of the computers (non-
scheduled emergent reinstalling) or at scheduled time moments. We consider a 
maximization problem of an average unit income. The cumulative distribution function (CDF) 
of the scheduled intervals between complete OS reinstallings is considered as a control. We 
prove that the optimal CDF has to be degenerate, ie, it is localized at a point τ τ