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The first type of resilience engineering work is determining how to best take advantage of the resilience that is already present in the system. Cook uses the example of setting a broken bone as this type of work: the resilience is already present in the physiology of bone, and setting the bone uses this resilience to achieving better healing ...
The mathematical model of such a process can be thought of as an inverse percolation process. Percolation theory models the process of randomly placing pebbles on an n-dimensional lattice with probability p, and predicts the sudden formation of a single large cluster at a critical probability p c {\displaystyle p_{c}} . [ 5 ]
Research in resilience engineering over the last decade has focused in two areas, organizational and information technology. Organizational resilience considers the ability of an organization to adapt and survive in the face of threats, including the prevention or mitigation of unsafe, hazardous or compromising conditions that threaten its very existence. [6]
Flexibility is used as an attribute of various types of systems. In the field of engineering systems design, it refers to designs that can adapt when external changes occur. Flexibility has been defined differently in many fields of engineering, architecture , biology , economics , etc.
The resilience loss is a metric of only positive value. It has the advantage of being easily generalized to different structures, infrastructures, and communities. This definition assumes that the functionality is 100% pre-event and will eventually be recovered to a full functionality of 100%. This may not be true in practice.
Resilience is an important concept in the study of complex systems, where there are many interacting components that can affect each other in unpredictable ways. [13] Mathematical models can be used to explore the resilience of such systems and to identify strategies for improving their resilience in the face of environmental or other changes.
"Antifragility is beyond resilience or robustness. The resilient resists shocks and stays the same; the antifragile gets better." [1] The concept has now been applied to ecosystems in a rigorous way. [17] In their work, the authors review the concept of ecosystem resilience in its relation to ecosystem integrity from an information theory approach.
Modularity is the degree to which a system's components may be separated and recombined, often with the benefit of flexibility and variety in use. [1] The concept of modularity is used primarily to reduce complexity by breaking a system into varying degrees of interdependence and independence across and "hide the complexity of each part behind an abstraction and interface". [2]