Environmental management: analytical approximate solutions to the problem of detecting optimal random audit schemes
In the contest of environmental management, the problem of minimizing the expected cost due to random checking processes and a possible failure is here addressed. Non-homogeneous Poisson checking processes with continuous non-decreasing intensity are considered, leading to the explicit detection of the sub-optimal solution for exponential or uniform failure density functions. The dynamic of the optimal solution is then analized using the phase-diagram tool.
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