Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a numerical method based on stochastic bounds and computations of discrete distributions to get the transient reliability of a system described by a Dynamic Fault Tree.  show that the gates of the tree are associated to simple operators on the probability distributions of the time to failure.  also prove that almost all operators are stochastically monotone, which allows us to simplify the computation complexity using stochastic bounds.  show that replicated events and functional dependency gates can be analyzed with conditional probabilities which can be handled with the same techniques but with a higher complexity. Finally  show the tradeoff beten the precision of the approach and the complexity of the computations.
['Jean-Michel Fourneau', 'Nihal Pekergin']
I am writing a research paper on a idea A Numerical Analysis of Dynamic Fault Trees Based on Stochastic Bounds
[{"from": "human", "value": "I am writing a research paper on a idea A Numerical Analysis of Dynamic Fault Trees Based on Stochastic Bounds"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a numerical method based on stochastic bounds and computations of discrete distributions to get the transient reliability of a system described by a Dynamic Fault Tree.  show that the gates of the tree are associated to simple operators on the probability distributions of the time to failure.  also prove that almost all operators are stochastically monotone, which allows us to simplify the computation complexity using stochastic bounds.  show that replicated events and functional dependency gates can be analyzed with conditional probabilities which can be handled with the same techniques but with a higher complexity. Finally  show the tradeoff beten the precision of the approach and the complexity of the computations."}]