求解具有多层试验数据成败型单元混联系统可靠性近似限的信息论方法

 研究了求解具有多层成败型试验数据时，系统可靠性置信下限近似解的信息论方法，给出了各层试验数据综合的方法和步骤，推导了各层数据信息论方法折合及综合的计算公式。根据单元试验信息提供的信息量与系统折合试验应提供的信息量相等的原则，将多层试验数据逐级折合为系统的等效成败型数据，导出了等效成败型数据信息论方法折合的基本公式；结合可靠性工程的基本原理，根据单个成败型单元可靠性评定的经典精确置信限方法，给出了系统可靠性置信下限的近似解。并以实例形式说明了该方法的具体应用。

INFORMATION THEORY METHOD OF CALCULATING APPROXIMATE CONFIDENCE LOWER LIMIT FOR SERIES-PARALLEL OR PARALLEL-SERIES SYSTEM RELIABILITY WITH HIERARCHICAL SUCCESS-FAILURE TEST DATA

Let a system A be composed of K independent subsystems B₁, B₂,…,B_K in parallel (or in series), and the i th subsystem be composed of m_i-independent success failure units C _i1, C_i2,…,C_imi  in series (or in parallel). There exist hierarchical test data as follows:①for unit C_ij , the numbers of tests, successes and failures are N_ij, S_ij  and F_ij respectively (i=1,2,…,K; j=1,2,…,m_i);②for subsystem B_i, the numbers of tests, successes and failures are N_i, S_i, and F_i respectively (i=1,2,…,K);③for system A, the numbers of tests, successes and failures are N, S, and F respectively. Using the hierarchical success failure test data, the authors present an information theory method for calculating the approximate confidence limit of system reliability in this paper. The equivalent system success failure data (N_*, S_*, F_*) are obtained from the hierarchical test data by means of the principle of equal information quantity. Then, the approximate confidence limit of the system reliability is obtained from the equivalent system success failure data (N_*, S_*, F_*) according to the exact classical method of the individual success failure unit. Finally, the authors analyze the application of the formulae proposed in the paper by way of examples.