Connectivity models of interdependency in mixed-type critical infrastructure networks

Svendsen, Nils Kalstad; Wolthusen, Stephen D.

doi:10.1016/j.istr.2007.02.005

Cited by 99 publications

(35 citation statements)

References 21 publications

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“…The flexible framework for modeling infrastructures and their interdependencies we first reported in [5], and the graph-theoretical model augmented with a set of response functions that can model both unbuffered and particularly buffered resources along with their production and consumption in a network of infrastructure components presented in [6] defines the baseline of our research. The model allows consideration of multiple concurrent types of interdependencies such as may arise in the provision of further infrastructure services along with simple prioritization mechanisms as may be necessary in case of some elements of the infrastructure network becomes unavailable or owing to a partitioning of the interdependency graph.…”

Section: Resultsmentioning

confidence: 99%

Graph Models of Critical Infrastructure Interdependencies

Svendsen¹,

Wolthusen²

2007

Inter-Domain Management

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Section: Resultsmentioning

confidence: 99%

Graph Models of Critical Infrastructure Interdependencies

Svendsen¹,

Wolthusen²

2007

Inter-Domain Management

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“…A System Dynamics (SD) infrastructure vulnerability assessment framework is proposed in (Tonmoy & El-Zein 2014) to simulate the dependent behaviors of the infrastructure subsystems, and a measure of system performance is provided. Next, (Svendsen & Wolthusen 2007) provide an extensible graph-theoretical model for investigating the interdependencies among critical infrastructures. The interactions between their components are modeled through a set of response functions on the graph edges and resources on the nodes.…”

Section: Introductionmentioning

confidence: 99%

Resilience analysis of interconnected systems by a set-theoretic approach

Liu¹,

Prodan²,

Zio³

2015

Congrès Lambda Mu 19 De Maîtrise Des Risques Et Sûreté De Fonctionnement

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RésuméCet article traite de l'analyse de la résilience des systèmes d'infrastructures critiques. Un système d'infrastructure est un réseau de sous-systèmes, qui interagissent par les dépendances de divers types. L'interaction et la dépendance entre les soussystèmes rendent le système d'infrastructure entier plus complexe et parfois vulnérable. Nous interprétons la résilience comme une propriété de système liés à la prévention, la robustesse et le rétablissement des perturbations et des événements indésirables. Une telle propriété de résistance des systèmes interconnectés dépend également de leur structure et de leurs paramètres de conception. Dans cet article, nous modélisons la structure du système par un graphe orienté. Une dynamique de l'état est associée à chacun des sous-systèmes, avec des termes interdépendants qui peuvent représenter différents types d'interdépendances. La réponse du système aux perturbations et aux événements indésirables peut, alors, être analysée en utilisant des notions de la théorie des ensembles, pour identifier les régions de fonctionnement et les conditions récupérables ou non récupérables. En outre, une caractéristique de la résilience du système en fonction des paramètres de conception est fournie, ce qui est utile pour la conception et le fonctionnement des systèmes résilients. Les avantages de l'approche proposée sont mis en évidence par une application numérique illustrative. Finalement, les différentes topologies des systèmes sont également prises en compte pour discuter de leurs effets au système. AbstractThis work addresses the resilience analysis of critical infrastructure systems. An infrastructure system is a network of subsystems, which interoperate through dependencies of various types. The interaction and dependency among the subsystems make the entire infrastructure system more complex and possibly vulnerable. Resilience is interpreted here as a system property related to the prevention of, robustness to and recovery from undesired disturbances and events. Such resilience property of interconnected systems depends also on their structure and design parameters. In this paper, the structure of the system is abstracted by a directed graph. A state dynamics is associated to each of the subsystems, with interdependent terms that can represent different types of interdependencies. The system response to undesired disturbances and events can, then, be analyzed using notions from set theory, to identify regions of operation and recoverable or non-recoverable conditions. Moreover, a characterization of the system resilience as a function of the design parameters can be provided, which is useful for resilient design and operation purposes. The benefits of the proposed approach are highlighted through an illustrative, numerical application. Finally, discussions on how the system's topology will influence its resilience are presented.

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“…Many approaches have been used to model infrastructure interaction including for example, agent-based models , input-output models (Setola 2009), neural networks (Min and Duenas-Osorio, 2009) and scalable multi-graph methods (Svendsen and Wolthusen, 2007). As well as differing in their general approach, these methods differ widely in the type, size and number of networks being considered.…”

Section: Introductionmentioning

confidence: 99%

“…Neural networks have been used for reliability analyses on interdependent infrastructures (Min and Duenas-Osorio et al, 2009). Scalable multi-graph models (Svendsen and Wolthusen et al, 2007) have been proposed as a means of representing both services that are consumed instantly (e.g., electricity and telecommunications) and those that exhibit buffering (e.g., water and gas) in the same model structure. The research group at the Idaho National Laboratory (INL) undertook a review of the state of the art in modeling critical infrastructure interdependencies in 2006.…”

Section: Introductionmentioning

confidence: 99%