Classification and mathematical modeling of infrastructure interdependencies

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Abstract
Critical infrastructure and their provision of goods, services and resources to communities determine the well-being and economic prosperity of modern society. Critical infrastructure jointly operate to support the production and distribution of goods and services. As a result, modeling of risk and resilience of critical infrastructure requires capturing their dependencies and interdependencies, while also capturing their deterioration and recovery processes. However, classifications of infrastructure interdependencies available in the literature suffer from common issues such as non-orthogonality and duplication, which impede the definition and formulation of the mathematical models needed to account for the various types of interdependencies. This paper presents a novel classification of infrastructure interdependencies and proposes a general mathematical formulation to account for the different classes of infrastructure interdependencies. The paper illustrates the proposed formulation by modeling the post-disaster recovery of power infrastructure, while accounting for the dependence on the transportation infrastructure.
Funding Information
  • National Institute of Standards and Technology (70NANB15H044)
  • National Science Foundation (1638346)

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