ignatenko oleksii institute of software system nas...
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Ignatenko Oleksii Institute of Software System NAS UkraineInstitute of Software System NAS Ukraine
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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
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3PMCCS 2009, Eger 18.09.2009
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SpamDenial of service attacksDenial of service attacksUnauthorized intrusionS li f i f iStealing of informationFishingViruses and worms
4PMCCS 2009, Eger 18.09.2009
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5PMCCS 2009, Eger 18.09.2009
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)(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
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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
7PMCCS 2009, Eger 18.09.2009
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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
8PMCCS 2009, Eger 18.09.2009
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)(2 tq - attack power
)()()()( 211 tqktuttq ⋅+−α=&
)()(2 tvtq =&
9PMCCS 2009, Eger 18.09.2009
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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
10PMCCS 2009, Eger 18.09.2009
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2))0((qkv>μ
max1int
21
))0((2
)0( qqkq ≤α+ν−μ
+
18.09.2009PMCCS 2009, Eger 11
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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+=&
18.09.2009PMCCS 2009, Eger 12
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Defense systemDefense systemDefense systemDefense systemUsersUsers
Network
ModelingModelingModeling environmentModeling environment
18.09.2009PMCCS 2009, Eger 13
AttackerAttacker
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18.09.2009PMCCS 2009, Eger 14
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Th kThanks
18.09.2009PMCCS 2009, Eger 15