This investigation is concerned with the availability prediction of a non-Markovian model for the multi-component complex repairable manufacturing system. The system is prone to multiple types of failures, either due to an individual or common cause failure. The system can also fail catastrophically which may occur due to the incorrect start of the system or due to some errors by an untrained and inexperienced operator. When a system failure occurs, the recovery of the system is done by the inspection/repair process. The stochastic analysis is carried out using the supplementary variable technique and Laplace transformation for evaluating the system state probabilities. The performance indices such as availability, reliability, MTTF, MTTR, and cost–benefit analysis of the system are established analytically and then validated by taking a numerical example.

这项研究与多组件复杂可修复制造系统的非马尔可夫模型的可用性预测有关。由于个人或通用原因的故障，系统容易出现多种类型的故障。系统也可能会灾难性地发生故障，这可能是由于系统启动不正确或由于未经培训和缺乏经验的操作员造成的某些错误而导致的。当发生系统故障时，将通过检查/修复过程来完成系统的恢复。使用补充变量技术和拉普拉斯变换进行随机分析，以评估系统状态概率。性能指标，例如可用性，可靠性，MTTF，MTTR，