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## Network Survivability

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### School of Computational Science, Florida State University, Tallahassee, FL, USA ... Network Topology This is a set up in which a given node has one or more links ... – PowerPoint PPT presentation

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Title: Network Survivability

1
Network Survivability
• Yishi Li, Matt Willis
• (Mentor Svetlana Poroseva)
• Summer 2005 Research Experience for
• School of Computational Science, Florida State
University, Tallahassee, FL, USA

2
Definitions of Network Survivability
Network Topology This is a set up in which a
given node has one or more links to others, and
they can appear in a variety of different shapes.
Topologies consist of generators (a computer,
for example), vertical edges (possibly a wire
connecting to the rest of the network), and
horizontal edges that serve to carry information
and reinforce the structure of the topology.
3
Definitions
Survivability. The goal of this project is to
determine how network topologies react while
undergoing multiple failures simultaneously.
Systems respond differently when different faulty
scenarios occur. The below figure illustrates
three primary responses that a network would
experience.
4
Probability of Selected Scenarios Occurs
(Denotations)
Denotations m represents the number of faults in
a topology S is the number of possible fault
scenarios SN is the number of N-scenarios,
SF of F-scenarios, SR1 of R-scenarios in
which at least one generator is destroyed SR2
is the number of R-scenarios with all generators
intact.
5
Few Simple Topologies I
The Ring
6
Few Simple Topologies II
The Single Bus
7
The Baseball Diamond
blue represents the chance of failure P(F), green
represents P(R), and red P(N). The x-axis
represents the number of faults occurring at a
given time.
Number of faults occurring simultaneously
8
The Double Bus
blue represents the chance of failure P(F), green
represents P(R), and red P(N). The x-axis
represents the number of faults occurring at a
given time.
Number of faults occurring simultaneously
9
Results Analysis
• This graph shows the chance of failure in
different topologies with two generators, two
vertical edges, and a varying number of
horizontal edges while undergoing two faults.

Similar improvements can be seen when vertical
edges are added. The next slide shows the chance
of failure at two faults in topologies with two
generators and two horizontal edges.
10
Results Analysis Continued
By adding just one vertical edge, the chance of
failure is less than half of what it was
previously!!
11
Computational Network Survivability
Computational Network Survivability is the use
of computers to generate results sufficiently to
predict the outcomes of network survivability at
any given scenario.
12
Program Structure
13
Computational Results (Double Bus)
3 Generators
14
Computational Results (Double Bus)
4 Generators
15
Findings and Discoveries
P(N) vs. M ( 3 G)
P(N) vs. M (4 G)
By looking at two graphs, one can see the
similarity between them. Lets look at the next
one.
16
Findings and Discoveries
The plot illustrates how P(N) varies depending on
the number of generators. It is seen that the
difference in P(N) is small for a small number of
faults. As M grows, the effect of the number of
generators on P(N) becomes more pronounced.
17
Conclusions
Potential of this Research. In the future,
network will become more and more essential to
our lives. In order to design a reliable network,
it is extremely important to understand the
network performance under various conditions.
Since networks are a very complex system, by
combining computational science and network
survivability theory, we will significantly
improve our capability for analysing various
forms of network topologies.
18
Final Discussion
New Generation of Network Design. Due to a high
demand for reliable communication and power
network systems, it is crucial to develop a
highly survivable network that can sustain
catastrophic events. Continuous research on this
topic would enhance our understanding on
survivability and reliability performance in
different configuration. It provides essential
reference for network engineers to develop
systematic schemes in designing a highly reliable
network.