Ignatenko Oleksii Institute of Software System NAS...
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Ignatenko Oleksii Institute of Software System NAS Ukraine Institute of Software System NAS Ukraine
Transcript of Ignatenko Oleksii Institute of Software System NAS...
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.
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SpamDenial of service attacksDenial of service attacksUnauthorized intrusionS li f i f iStealing of informationFishingViruses and worms
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)(t)(1 tu
)(1 tw
)(tw )(2 tu)(2 tw )(2 tu
)(3 tw
)(3 tu)(tp
)(3 tw
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)(1 tq - queuing time
)( k t i l t)(tα - packets arrival rate
)(tu routing policy)(1 tu - routing policy
)()( 11 tutq +α=& )()( 11q
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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
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)(2 tq - attack power
)()()()( 211 tqktuttq ⋅+−α=&
)()(2 tvtq =&
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)()( 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
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2))0((qkv>μ
max1int
21
))0((2
)0( qqkq ≤α+ν−μ
+
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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+=&
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Defense systemDefense systemDefense systemDefense systemUsersUsers
Network
ModelingModelingModeling environmentModeling environment
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AttackerAttacker
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Th kThanks
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