DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A tri-level optimization model for interdependent infrastructure network resilience against compound hazard events

Journal Article · · International Journal of Critical Infrastructure Protection
 [1]; ORCiD logo [2];  [3];  [4];  [1];  [1];  [5]
  1. Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
  2. Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Rochester Institute of Technology, NY (United States)
  3. Pacific Northwest National Laboratory (PNNL), Richland, WA (United States); Northeastern Univ., Boston, MA (United States)
  4. Naval Postgraduate School, Monterey, CA (United States)
  5. Northeastern Univ., Boston, MA (United States); Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)

Resilient operation of interdependent infrastructures against compound hazard events is essential for maintaining societal well-being. To address consequence assessment challenges in this problem space, we propose a novel policy-guided tri-level optimization model applied to a proof-of-concept case study with fuel distribution and transportation networks – encompassing one realistic network; one fictitious, yet realistic network; as well as networks drawn from three synthetic distributions. Mathematically, our approach takes the form of a defender-attacker-defender (DAD) model—a multi-agent tri-level optimization, comprised of a defender, attacker, and an operator acting in sequence. Here, in this study, our notional operator may choose proxy actions to operate an interdependent system comprised of fuel terminals and gas stations (functioning as supplies) and a transportation network with traffic flow (functioning as demand) to minimize unmet demand at gas stations. A notional attacker aims to hypothetically disrupt normal operations by reducing supply at the supply terminals, and the notional defender aims to identify best proxy defense policy options which include hardening supply terminals or allowing alternative distribution methods such as trucking reserve supplies. We solve our DAD formulation at a metropolitan scale and present practical defense policy insights against hypothetical compound hazards. We demonstrate the generalizability of our framework by presenting results for a realistic network; a fictitious, yet realistic network; as well as for three networks drawn from synthetic distributions. Additionally, we demonstrate the scalability of the framework by investigating runtime performance as a function of the network size. Steps for future research are also discussed.

Research Organization:
Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-76RL01830
OSTI ID:
2507167
Report Number(s):
PNNL-SA--191126
Journal Information:
International Journal of Critical Infrastructure Protection, Journal Name: International Journal of Critical Infrastructure Protection Vol. 47; ISSN 1874-5482
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (47)

Probabilistic N - k failure-identification for power systems journal January 2018
Resilience principles for engineered systems journal October 2012
Monte Carlo (importance) sampling within a benders decomposition algorithm for stochastic linear programs journal December 1992
A decomposition approach for solving tri-level defender-attacker-defender problems journal March 2021
Interdependent network restoration: On the value of information-sharing journal July 2015
A survey of network interdiction models and algorithms journal June 2020
Integrated reinforcement and repair of interdependent infrastructure networks under disaster-related uncertainties journal July 2023
Critical infrastructure dependency assessment using the input–output inoperability model journal December 2009
Agent-based input–output interdependency model journal July 2010
Critical infrastructure dependencies: A holistic, dynamic and quantitative approach journal January 2015
Time-based critical infrastructure dependency analysis for large-scale and cross-sectoral failures journal March 2016
Quantitative evaluation of the synergistic effects of failures in a critical infrastructure system journal September 2016
Proposed methodology for risk analysis of interdependent critical infrastructures to extreme weather events journal June 2018
Critical infrastructure vulnerability—A method for identifying the infrastructure service failure interdependencies journal September 2018
Modeling infrastructure interdependencies by integrating network and fuzzy set theory journal September 2018
Vulnerability analysis of an urban gas pipeline network considering pipeline-road dependency journal December 2018
Interdependent Critical Infrastructure Model (ICIM): An agent-based model of power and water infrastructure journal March 2019
A framework for modeling and assessing system resilience using a Bayesian network: A case study of an interdependent electrical infrastructure system journal June 2019
Using a random road graph model to understand road networks robustness to link failures journal June 2020
A novel optimization method for urban resilient and fair power distribution preventing critical network states journal June 2020
A hypothesis-driven framework for resilience analysis of public transport network under compound failure scenarios journal December 2021
Resilience analysis of interdependent critical infrastructure systems considering deep learning and network theory journal December 2021
Analysis and lessons identified on critical infrastructures and dependencies from an empirical data set journal December 2021
Vulnerability assessment of urban road traffic systems based on traffic flow journal September 2022
A two-stage stochastic multi-objective resilience optimization model for network expansion of interdependent power–water networks under disruption journal March 2023
Vulnerability analysis of urban road networks based on traffic situation journal July 2023
Planning resilient motor-fuel supply chain journal September 2017
Solving two-stage robust optimization problems using a column-and-constraint generation method journal September 2013
Modeling critical infrastructure resilience under compounding threats: A systematic literature review journal October 2022
Review on modeling and simulation of interdependent critical infrastructure systems journal January 2014
Resilience-driven restoration model for interdependent infrastructure networks journal May 2019
Protection-interdiction-restoration: Tri-level optimization for enhancing interdependent network resilience journal July 2020
Mathematical modeling of interdependent infrastructure: An object-oriented approach for generalized network-system analysis journal January 2022
A nexus approach to infrastructure resilience planning under uncertainty journal February 2023
Protection-interdiction-restoration for resilient multi-commodity networks journal February 2024
Resilience of Urban Transport Network-of-Networks under Intense Flood Hazards Exacerbated by Targeted Attacks journal June 2020
Compound, Cascading, or Complex Disasters: What's in a Name? journal October 2018
Identifying, understanding, and analyzing critical infrastructure interdependencies journal December 2001
Modeling of Interconnected Critical Infrastructure Systems Using Complex Network Theory journal September 2018
The Interdependent Network Design Problem for Optimal Infrastructure System Restoration: The interdependent network design problem for infrastructure restoration
  • González, Andrés D.; Dueñas-Osorio, Leonardo; Sánchez-Silva, Mauricio
  • Computer-Aided Civil and Infrastructure Engineering, Vol. 31, Issue 5 https://doi.org/10.1111/mice.12171
journal December 2015
Operational Models of Infrastructure Resilience journal March 2015
Emergence of Scaling in Random Networks journal October 1999
GUARDS and PROTECT journal March 2011
Link Cost Function and Link Capacity for Mixed Traffic Networks journal June 2020
The backbone of urban street networks: Degree distribution and connectivity characteristics journal November 2017
Defending Critical Infrastructure journal December 2006
Volume Delay Functions Based on Stochastic Capacity
  • Neuhold, Robert; Fellendorf, Martin
  • Transportation Research Record: Journal of the Transportation Research Board, Vol. 2421, Issue 1 https://doi.org/10.3141/2421-11
journal January 2014