Paper Info
Title
Combined Series and Parallel Systems subject to Individual versus Overarching Defense and Attack.
Abstract
A system of components can be in series, parallel, or combined series/parallel. The components and system are protected individually and overarchingly by a defender, and attacked individually and overarchingly by an attacker. Both layers of protection have to be breached for an attack to be successful. Each component, and the system as a whole, have vulnerabilities determined by individual and overarching protection and attack. The agents choose their effort variables simultaneously and independently to maximize their utilities. Each component and the system have unit costs of protection and attack, and a contest intensity. We show for both the parallel and series systems that the defender always prefers overarching and individual protection and attack, while the attacker always prefers individual protection and attack. Analytical expressions are developed for the agents' effort variables, each individual component's vulnerability, and the system vulnerability. The expenditure ratio, between individual protection and attack, and overarching protection and attack, is shown to increase in the number of components for the parallel system, and decrease in the number of components for the series system. Special cases are considered and interpreted. Comparisons are made with only individual protection and attack. The model is applicable to determine how the defender and attacker should strike the balance between choosing efforts to protect and attack components individually versus overarchingly.
Year
DOI
Venue
2013
10.1142/S021759591250056X
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH
Keywords
Field
DocType
Survivability,vulnerability,series system,parallel system,individual protection,overarching protection,attack,OR in military,terrorism
Survivability,Expression (mathematics),Computer security,CONTEST,Mathematics,Vulnerability
Journal
Volume
Issue
ISSN
30
2
0217-5959
Citations 
PageRank 
References 
3
0.39
15
Authors
1
Name
Order
Citations
PageRank
Kjell Hausken153746.28