Abstract
AbstractThis 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.
Highlights
At various stages of design, planning and operation, system engineer are involved in many manufacturing cells (Henoch, 1988)
The authors assumed that the repair of the main and standby units follows the general distribution, whereas the repair due to human failure is obtained with the help of the copula. Various reliability measures such as availability, reliability, mean time to failure (MTTF) and profit function have been evaluated by using the supplementary variable technique and Laplace transformation
A critical examination of Figure 7 shows that the mean time to repair (MTTR) increases with increment in common cause failure and catastrophic failure, and decreases with increment partial failure, human failure and waiting time to repair
Summary
At various stages of design, planning and operation, system engineer are involved in many manufacturing cells (Henoch, 1988). Kumar, Varshney, and Ram (2015) studies the reliability analysis of the casting process in foundry work using a probabilistic approach Taking this into consideration, the impact of five types of failures namely common cause, catastrophic, partial and human failure with waiting time to repair, on a multi-state repairable manufacturing system has been discussed in this paper. Ram, Singh and Varshney (2013) investigated the reliability of a standby system under human failure, but the authors did not include common cause failure and catastrophic failure in their work. The authors assumed that the repair of the main and standby units follows the general distribution, whereas the repair due to human failure is obtained with the help of the copula Various reliability measures such as availability, reliability, MTTF and profit function have been evaluated by using the supplementary variable technique and Laplace transformation.
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