Abstract

The hardware reliability of a gas monitoring system was investigated using the fuzzy fault tree analysis method. A fault tree was developed considering the hardware failure of the gas monitoring system as a top event. Two minimum path sets were achieved through qualitative analysis using the ascending method. The concept of fuzzy number of the fuzzy set theory was applied to describe the probability of basic event occurrence in the fault tree, and the fuzzy failure probabilities of the middle and top events were calculated using fuzzy AND and OR operators. The results show that the proposed fuzzy fault tree is an effective method of reliability analysis for gas monitoring systems. Results of calculations using this method are more reasonable than those obtained with the conventional fault tree method.

Highlights

  • Coal mine gas monitoring systems play an important role in improving the safety of China’s coal mines, reducing personnel and property losses, and improving the production efficiency and modernization level of the mines

  • In order to solve the problem that there is no accurate data and only fuzzy data in the gas monitoring system, this paper uses the fuzzy fault tree analysis method that combines fuzzy mathematics and fault tree analysis to analyze the hardware reliability of the gas monitoring system

  • In order to obtain the probability of occurrence of 19 bottom events such as the coal mine gas monitoring system X1–X19, 10 on-site monitoring experts were selected to fill in the expert questionnaire

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Summary

Introduction

Coal mine gas monitoring systems play an important role in improving the safety of China’s coal mines, reducing personnel and property losses, and improving the production efficiency and modernization level of the mines. ((33)) QQuuaannttiittaattiivvee aannaallyyssiiss ooff tthhee ffaauulltt ttrreeee The purpose of this analysis is to calculate the occurrence probability of the top event aacnondmdepTevvaharaelilunpuaguattretephtothehseeecsaosalafcffetuehtltyiaystaeaandnndadplryrreseolilibsiaaabibbsiilitliloitittyyycaoolofcfftuthlhtaehetesesyyttshostepteemomec.vc.SeuSpnrpreteeccnwiificfiiectchaaplllrtlyoyh,b,etahthbpeeirlmeimtdyeeetothtehforotdmhdecincotoeonndpssiesitsvattsresgnooeftft comparing the calculated probability of the top event with the predetermined target value. The Fuzzy-FTA analysis method is found capable of qualitatively and quantitatively analyzing the reliability of a gas monitoring system hardware and calculating its failure probability [16]. When a certain level λ is given, the fuzzy set A is refined to Aλ

Fuzzy Numbers and Their Properties
Interval Analysis of the Occurrence Probability of the Top Event
X1 X2 X3 X4 X5 X6
Qualitative Analysis of Fault Tree
Quantitative Analysis of Fault Tree
Calculation of the Fuzzy Probability of the Top Event
Structural Importance Analysis
Analysis of Fault Tree Results
Comparison of FTA and Fuzzy-FTA
Conclusions

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