Proposal of a R&D frame to develop resilience models for services supply continuity in view of crisis situations

The authors propose a frame to develop mathematical models describing the resilience of the service(s) supply processes and the associated critical-infrastructure(s), in crisis situation. The paper is intended to contribute in developing the paradigm of resilience and appropriate metrics. It describes briefly the paradigm of resilience used in some scientific disciplines, especially: the physical-mechanical resilience (material sciences), the ecological resilience and the psychological resilience. Presently, the use of resilience is very loos, especially, in analysing vital service supply continuity and in crisis management, as far as we are concerned. An advanced resilience concept should encompass: temporality, stochasticity and measurability. The authors propose an R&D frame to develop such formal models in order to help in resilience analysis and decision making for crisis management. Formal models are necessary to rationalise analyses, normalise best practices and build decision making processes. The proposed R&D frame integrates: vulnerability and dependency/interdependency