UPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS
Predictions of increased cyber attacks in the next few years make cyber risk estimation become a popular topic today. Viruses, Trojans, and worms spread from one computer to another in a network. The process of spreading disease in Biological populations used to understand the process of spreadin...
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id-itb.:465082020-03-06T14:43:18ZUPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS Antonio, Yeftanus Indonesia Theses Upper bounds, finite graph, SIS epidemic, cyber attacks. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/46508 Predictions of increased cyber attacks in the next few years make cyber risk estimation become a popular topic today. Viruses, Trojans, and worms spread from one computer to another in a network. The process of spreading disease in Biological populations used to understand the process of spreading viruses on a computer network using an epidemic mathematical model approach. The risk related to the number of infected computers on different computer network topologies was obtained by using a simple stochastic epidemic model, namely, the Susceptible- Infectious-Susceptible (SIS) model, with modified contact parameters. The solution of the Kolmogorov differential equation for expectations of the number of infected computers for the SIS model was an upper bound. This study carried out estimations of upper bound on complete graphs, cycle graphs, wheel graphs, star graphs, and path graphs. The Gillespie algorithm, also known as the Stochastic Simulation Algorithm, was used to compare the upper bound and the samples mean of the number of infections. Cyber insurance rates with the expected value principle on a collective risk model for that graph topology was founded by using simulations approach. Based on the simulation results, increasing the average degree of graphs resulted in higher infections mean than a lower average degree of graphs. text |
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Predictions of increased cyber attacks in the next few years make cyber risk estimation
become a popular topic today. Viruses, Trojans, and worms spread from
one computer to another in a network. The process of spreading disease in Biological
populations used to understand the process of spreading viruses on a computer
network using an epidemic mathematical model approach. The risk related
to the number of infected computers on different computer network topologies was
obtained by using a simple stochastic epidemic model, namely, the Susceptible-
Infectious-Susceptible (SIS) model, with modified contact parameters. The solution
of the Kolmogorov differential equation for expectations of the number of infected
computers for the SIS model was an upper bound. This study carried out estimations
of upper bound on complete graphs, cycle graphs, wheel graphs, star graphs,
and path graphs. The Gillespie algorithm, also known as the Stochastic Simulation
Algorithm, was used to compare the upper bound and the samples mean of the
number of infections. Cyber insurance rates with the expected value principle on
a collective risk model for that graph topology was founded by using simulations
approach. Based on the simulation results, increasing the average degree of graphs
resulted in higher infections mean than a lower average degree of graphs. |
format |
Theses |
author |
Antonio, Yeftanus |
spellingShingle |
Antonio, Yeftanus UPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS |
author_facet |
Antonio, Yeftanus |
author_sort |
Antonio, Yeftanus |
title |
UPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS |
title_short |
UPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS |
title_full |
UPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS |
title_fullStr |
UPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS |
title_full_unstemmed |
UPPER BOUND ESTIMATION OF THE EXPECTATION OF THE NUMBER OF INFECTED NODES AS A RISK FOR CYBER INSURANCE RATE MAKING ON FINITE GRAPHS |
title_sort |
upper bound estimation of the expectation of the number of infected nodes as a risk for cyber insurance rate making on finite graphs |
url |
https://digilib.itb.ac.id/gdl/view/46508 |
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