An analysis to multi-state manufacturing system with common cause failure and waiting repair strategy

This paper presents a mathematical model for a multi-state complex repairable manufacturing system with four types of failures such as common cause, partial, human and catastrophic incorporating waiting time to repair. As regards to repairing of the system, it has to be wait for repair due to unavailability of repair facility after common cause failure. The system may also fail due to catastrophic failure and due to incorrect start of the system, which can occur due to an untrained and inexperienced operator (human failure). The analysis is carried out using the supplementary variable technique and Laplace transformation for evaluating reliability measures such as availability, reliability, mean time to failure, mean time to repair, cost benefit analysis and sensitivity analysis of the system. Some graphical illustrations have also been taken to highlight the practical utility of the model