Optimal design, robustness, and risk aversion

Details Optimal design, robustness, and risk aversion Optimal design, robustness, and risk aversion

2002-02-20

arxiv.org/abs/cond-mat/0202330v1

Phys. Rev. Lett. 89, 028301 (2002)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.89.028301

Highly optimized tolerance is a model of optimization in engineered systems, which gives rise to power-law distributions of failure events in such systems. The archetypal example is the highly optimized forest fire model. Here we give an analytic solution for this model which explains the origin of the power laws. We also generalize the model to incorporate risk aversion, which results in truncation of the tails of the power law so that the probability of disastrously large events is dramatically lowered, giving the system more robustness.

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