Resilience analysis: A mathematical formulation to model resilience of engineering systems
Citation
Sharma, N., Tabandeh, A., Gardoni, P. (2018). Resilience analysis: A mathematical formulation to model resilience of engineering systems. Sustainable and Resilient Infrastructure, 3(2): 49-67. Link to paper
Abstract
The resilience of a system is related to its ability to withstand stressors, adapt, and rapidly recover from disruptions. There are two significant challenges in resilience analysis: (1) quantify the resilience associated with a given recovery curve; and (2) develop a rigorous mathematical model of the recovery process. To quantify resilience, this paper proposes a mathematical approach that systematically describes the recovery curve in terms of partial descriptors, called resilience metrics. For the recovery modeling, this paper proposes a stochastic formulation that models the impact of recovery activities and potential disrupting shocks, which could happen during the recovery, on the system state. For illustration, the proposed formulation is used for the resilience analysis of a reinforced concrete bridge repaired with fiber-reinforced polymer.