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Ignatenko Oleksii Institute of Software System NAS UkraineInstitute of Software System NAS Ukraine
Today network model are related to veryToday network model are related to very different areas◦ Information networks◦ Information networks◦ Telecommunications◦ Energy systemsgy y◦ Distributed production processesModeling for the purposes of control and the g p pdevelopment of control techniques for truly complex networks has become a major research activity over the past two decades.
2PMCCS 2009, Eger 18.09.2009
3PMCCS 2009, Eger 18.09.2009
SpamDenial of service attacksDenial of service attacksUnauthorized intrusionS li f i f iStealing of informationFishingViruses and worms
4PMCCS 2009, Eger 18.09.2009
5PMCCS 2009, Eger 18.09.2009
)(t)(1 tu
)(1 tw
)(tw )(2 tu)(2 tw )(2 tu
)(3 tw
)(3 tu)(tp
)(3 tw
6PMCCS 2009, Eger 18.09.2009
)(1 tq - queuing time
)( k t i l t)(tα - packets arrival rate
)(tu routing policy)(1 tu - routing policy
)()( 11 tutq +α=& )()( 11q
7PMCCS 2009, Eger 18.09.2009
We consider two constraint types for modelWe consider two constraint types for model
Geometric constraintsGeometric constraints
max)(0 α≤α≤ tmax11 )(0 qtq ≤≤
Integral constraint
max11 )( qq
int0
)( α≤α∫∞
tdtt
0∫t
8PMCCS 2009, Eger 18.09.2009
)(2 tq - attack power
)()()()( 211 tqktuttq ⋅+−α=&
)()(2 tvtq =&
9PMCCS 2009, Eger 18.09.2009
)()( tkt +&
)(tαServer
Buffers
)()()()(
1
21
tuttqktq
−α+⋅=)(1 tu)(1 tq
k )()( 1 tutα
)()()( 22 tutvtq −=&)(tv )(2 tu)(2 tq )()()( 22q
)()( μ≤+ )()( 21 tutu
10PMCCS 2009, Eger 18.09.2009
2))0((qkv>μ
max1int
21
))0((2
)0( qqkq ≤α+ν−μ
+
18.09.2009PMCCS 2009, Eger 11
60
80
100
значення
Stochastic model
50 100 150 200 250крок
20
40Real Network
)()())(()()1( tVtAtZBtQtQ +++=+
Deterministic discrete model
OMNeT++ model)()())(()()1( tvtatubtqtq +++=+
80
100
position
50 100 150 200 250step
20
40
60
Deterministic fluid model
)()())(( tvttuBq +α+=&
18.09.2009PMCCS 2009, Eger 12
Defense systemDefense systemDefense systemDefense systemUsersUsers
Network
ModelingModelingModeling environmentModeling environment
18.09.2009PMCCS 2009, Eger 13
AttackerAttacker
18.09.2009PMCCS 2009, Eger 14
Th kThanks
18.09.2009PMCCS 2009, Eger 15
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