Research of mission success importance for a multi-state repairablek-out-of-nsystem

Jiang-Bin Zhao,Zhi-Qiang Cai,Pei-Yong Hou,Yang Li,Peng Guo

doi:10.1177/1687814018762208

Jiang-Bin Zhao, Zhi-Qiang Cai + Show 3 more

Open Access

https://doi.org/10.1177/1687814018762208

Copy DOI

Abstract

For the reliability analysis of complex equipment system, one of the key objectives is that the equipment can complete the specified mission as expected. First of all, this article presents the analysis method of mission success importance for a multi-state k-out-of-n repairable system based on multi-state multi-valued decision diagram as well as the implementation procedure. Second, the engineering significance of mission success importance for a multi-state repairable 2-out-of-3 system is discussed by comparing the component order of mission success importance with multi-state Birnbaum importance, multi-state Fussell–Vesely importance, performance achievement worth, and performance reduction worth. Finally, the change rule of mission success importance is presented for a multi-state 2-out-of-3 repairable system when the reliability of a component is changed. The analysis results show that the engineering significance and change rule of mission success importance could provide effective support for missi...

Highlights

Practical engineering systems become more and more complex with the development of modern science and technologies
To analyze the complex repairable systems, Liu et al.2 proposed a new method with excellent performance especially for largescale models, which established the Monte Carlo simulation based on Spark parallel algorithm
For component i in the k-out-of-n multi-state systems (MSSs), the calculation method of mission success importance based on multi-state multi-valued decision diagram (MMDD) is proposed

Summary

Introduction

Practical engineering systems become more and more complex with the development of modern science and technologies. For component i in the k-out-of-n MSSs, the calculation method of mission success importance based on MMDD is proposed . The probability of Pr(ai = j) can be calculated by equation [2] and Pr (S = W jai = j) is critical to calculate the importance; the calculation method is similar to that of the mission success probability when the state of the component i is known. Based on this method, MMDD can be used to evaluate the k-out-of-n MSS with more than two performance levels. For the components a1, a2, and a3, the availability model-generated matrix Q(a) and the reliability modelgenerated matrix P(a) during the mission cycle are as follows

À0:025

M ða1Þ 3

Conclusion