Classification and mathematical modeling of infrastructure interdependencies

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.

KEYWORDS:

• Interdependencies
• classification
• stochastic
• resilience

Acknowledgments

This work was supported in part by the National Science of Foundation (NSF) under Award No. 1638346 and by the National Institute of Standards and Technology (NIST) through the Center for Risk-Based Community Resilience Planning under Award No. 70NANB15H044. Opinions and findings presented are those of the authors and do not necessarily reflect the views of the sponsor.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Institute of Standards and Technology [70NANB15H044]; and National Science Foundation [1638346].

Notes on contributors

Neetesh Sharma

Neetesh Sharma is a PhD Candidate in the Department of Civil and Environmental Engineering at the University of Illinois at Urbana– Champaign. He received his BTech in Civil Engineering from NIT Trichy, India in 2010. He thereafter worked for four years in construction and maintenance of power plants at NTPC Ltd. He received his MS in Civil Engineering from University of Illinois at Urbana- Champaign in 2016. His current research focuses on mathematical modeling of risk, reliability, and resilience of critical infrastructure systems.

Fabrizio Nocera

Fabrizio Nocera is a research assistant and PhD Candidate in the Department of Civil and Environmental Engineering at the University of Illinois at Urbana- Champaign. He received his Bachelor of Science from Politecnico di Bari in 2014 and his Master of Science from Politecnico di Torino in 2016. Nocera’s research focuses on risk, reliability, and resilience of infrastructure systems with particular emphasis on the resilience of transportation networks, business interruption, and socioeconomic impact following natural hazards.

Paolo Gardoni

Paolo Gardoni is a professor and excellence faculty scholar in the Department of Civil and Environmental Engineering at the University of Illinois at Urbana-Champaign, USA. He is the director of the MAE Center which focuses on the creating of a Multi-hazard Approach to Engineering, and the associate director of the NIST-funded Center of Excellence for Risk-based Community Resilience Planning. Gardoni is the founder and Editor-in-Chief of the international journal Sustainable and Resilient Infrastructure. He is internationally recognized for his work on sustainable and resilient infrastructure; reliability, risk and life cycle analysis; decision-making under uncertainty; earthquake engineering; performance assessment of deteriorating systems; ethical, social, and legal dimensions of risk; policies for natural hazard mitigation and disaster recovery; and engineering ethics.