Infrastructure System Resilience: A Model Approach
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Jingjing Kong
Slobodan P. Simonovic
June 2, 2016
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Introduction
Infrastructure Network Formalization
Infrastructure System Resilience
Simulation Framework
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Figure. Interdependence of different infrastructure (
Rinaldi et al., 2001
)
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Cascading failures
throughout the
whole infrastructure system at
regional and national scales.
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Effective protection and recovery
strategies are hard to make.
•
Infrastructure system resilience is
often overestimated.
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Most researches use system
robustness or system recovery
rapidity of individual
infrastructure system as resilience
quantification metrics.
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Network of networks
/multilayer network
Nodes of the infrastructure
networks have three
coordinates
Edges
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Intra-network links
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Inter-networks links
,
Street
network
Water
supply
network
Power
grid
Information
network
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Node – Node dependence ( )
State of node is dependent on the state of node
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Diverse combinations of two individual
networks dependences
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Higher-order impacts: Chain and cycle
reactions
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Interdependence of
two
individual networks
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Four dependence: First order impacts
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Combination of first order impacts
Interdependence of
three or more
individual networks
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Buffer time
Malfunction time
Repair time
Figure. Dynamic process of an infrastructure after a disturbance
Figure. Adaptive capacity of an infrastructure after a disturbance
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Based on the definition by Bruneau et al (2003) , Simonovic et al (2013),
Presidential Policy Directive 21 and other sources focusing on engineering
resilience of networked infrastructures.
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Infrastructure system resilience
is the systems’ ability to
resist
(prevent and
withstand) possible hazards,
absorb
the initial damage from hazard, and
recover
to normal operation levels.
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Reactive absorptive capacity AND Proactive restorative capacity
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Robustness,
Redundancy
, Resourcefulness, Rapidity
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Typical Performance Process of Infrastructure System
Robustness
:
the ability
of a systems to
withstand a given level
of stress without
suffering degradation
or loss of function.
Resourcefulness
:
the capacity to identify problems, establish priorities, and mobilize
resources when conditions exist that threaten to disrupt some elements, or a system.
Rapidity
:
the capacity to
meet priorities and achieve
goals in a timely manner in
order to contain losses and
avoid future disruption.
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Typical Performance Process of Infrastructure System
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Multilayer
Infrastructure
Network Model
Disaster Scenario
(removal of network elements )
Infrastructure System
Dynamic Mechanism
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interdependence
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T
B
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Single Layer Infrastructure
System Performance
Multilayer Infrastructure
System Resilience
Restorative
Strategy
T
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k
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Jingjing Kong
kjingjin@uwo.ca
RESILIENT INFRASTRUCTURE
June 1–4, 2016
This document presents an original model of infrastructure system resilience by exploring interdependent networks, cascading failures, and recovery strategies. It discusses formalization, basic dependence patterns, and interdependence of multiple networks for assessing infrastructure resilience. The content emphasizes the complexity and challenges in quantifying and enhancing infrastructure system resilience.
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Presentation Transcript
An An Original Model of Infrastructure Original Model of Infrastructure System Resilience System Resilience Jingjing Kong Slobodan P. Simonovic June 2, 2016
Contents Contents Introduction Infrastructure Network Formalization Infrastructure System Resilience Simulation Framework
Infrastructure system response Infrastructure system response Interdependent networks Cascading failures throughout the whole infrastructure system at regional and national scales. Effective protection and recovery strategies are hard to make. Infrastructure system resilience is often overestimated. Most researches use system robustness or system recovery rapidity of individual infrastructure system as resilience quantification metrics. Figure. Interdependence of different infrastructure (Rinaldi et al., 2001)
Infrastructure System Model Infrastructure System Model Network of networks Information network /multilayer network Nodes of the infrastructure , Power grid networks have three ( , , ) x y coordinates Water supply network Edges Intra-network links Street network y Inter-networks links x
Basic Infrastructure Dependence Patterns Basic Infrastructure Dependence Patterns Node Node dependence ( ) nn ID jn in State of node is dependent on the state of node 2 1 Node Edge dependence ( ) State of node is dependent on the state of edge ne ID ln ije 1 2 Node/Edge Path dependence ( / ) np np ID ID p ln lk e State of node or edge is dependent on State of path 2 1 1 im ne Node/Edge cluster dependence ( / ) ic nc ID ID lk e ln 2 1 State of cluster is dependent on State of node or edge 1 Geographic Dependence ( ) GL ID State of all infrastructure elements located at the same location A are affected by a disturbance simultaneously
Infrastructure Interdependence Formalization Infrastructure Interdependence Formalization Interdependence of two individual networks Four dependence: First order impacts Combination of first order impacts Interdependence of three or more individual networks Diverse combinations of two individual networks dependences Higher-order impacts: Chain and cycle reactions
Infrastructure Infrastructure System Dynamics Mechanism System Dynamics Mechanism 2 Figure. Adaptive capacity of an infrastructure after a disturbance T Buffer time B T Malfunction time M T Repair time R Figure. Dynamic process of an infrastructure after a disturbance
Definition of infrastructure system resilience Definition of infrastructure system resilience Based on the definition by Bruneau et al (2003) , Simonovic et al (2013), Presidential Policy Directive 21 and other sources focusing on engineering resilience of networked infrastructures. Infrastructure system resilience is the systems ability to resist (prevent and withstand) possible hazards, absorb the initial damage from hazard, and recover to normal operation levels. Reactive absorptive capacity AND Proactive restorative capacity Robustness, Redundancy, Resourcefulness, Rapidity
Infrastructure system performance Infrastructure system performance Resourcefulness: the capacity to identify problems, establish priorities, and mobilize resources when conditions exist that threaten to disrupt some elements, or a system. = , , , ( ) t ( ) t ( ) t R SP SP 1 1 1 Re 0 1), s Robustness: the ability of a systems to withstand a given level of stress without suffering degradation or loss of function. ( ) = , , , ( ( 1) ( ) t f SP t RS t SP 1 1 1 0 Res = ( ) t ( ) ( ) t R SP t SP 1 1 1 0 ( ) = , , ( 1), ( 1) ( ) t F SP t RS t SP 1 1 1 0 o o + + * * ( ) N ( ) E n t e t Rob = , * ( ) t R Rapidity : the capacity to meet priorities and achieve goals in a timely manner in order to contain losses and avoid future disruption. 1 + * * ( ( ) ( )) n t e t o o = ( ) R t 1 Rob + ( ) N E 1 after = = , , ( 1) R t R t 1 1 1 Rap Rob O = , R t t 1 2 1 Rap O O Typical Performance Process of Infrastructure System = , max R R 1 1 Rap Rap
Infrastructure system resilience Infrastructure system resilience RA PR = + ( ) t ( ) t ( ) t r r RA PR = + , , , ( ) t ( ) t ( ) t 1 1 1 1 1 1 t , ( ) t dt SP 1 0 t = , ( ) t 1 O 1 RA 1 t t , ( ) t dt R 1 Res t t = , ( ) t 1 O , ( ) t dt SP 1 1 PR 1 t 0 t = , ( ) t 1 O 1 RA 1 t t ( ) t dt R 1 Res t = ( ) t 1 O 1 PR 1 t Typical Performance Process of Infrastructure System
Simulation Framework Simulation Framework Multilayer Infrastructure Network Model y x Infrastructure System Dynamic Mechanism interdependence TB, TR, TM Restorative Strategy Single Layer Infrastructure System Performance Multilayer Infrastructure System Resilience Disaster Scenario (removal of network elements )
RESILIENT INFRASTRUCTURE June 1 4, 2016 Thank you! Thank you! Jingjing Kong kjingjin@uwo.ca
