In order to sample precisely the state transition time when simulating non-Markovian system,a new sampling method named Approximate Sampling for Residual Distribution(ASRD) method is put forward,in which several uniform distributions are used to approach general residual life distributions. The approach-coefficient d is used to adjust sampling precision and efficiency. Another method named Forced Transitions(FT) based ASRD(FT-ASRD) simulation method is brought forward to simulate high-reliable non-Markovian systems. FT-ASRD uses FT strategy to get the unreliability parameter. Several examples show that,when 5≤d≤10,FT-ASRD is more efficient and has lower relative error compared with crude simulation methods.
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