Journal of Applied Reliability (한국신뢰성학회지:신뢰성응용연구)

The Korean Reliability Society (한국신뢰성학회)
권호 표지

Reliability Analysis for a System under Imperfect Repair Using Fourier Transform Technique

Fourier 변환 기법을 이용한 불완전 수리를 실시하는 시스템의 신뢰도 분석

  • Kim, Ho Gyun (Department of Industrial & Management Engineering, Dong-Eui University) ;
  • Son, In Soo (Department of Mechanical Engineering, Dong-Eui University)
  • 김호균 (동의대학교 산업경영공학과) ;
  • 손인수 (동의대학교 기계공학과)
  • Received : 2016.05.03
  • Accepted : 2016.06.02
  • Published : 2016.06.25
Download PDF
⟨ Previous Next ⟩

Abstract

Purpose: Biswas and Sarkar [11] found the availability of a system maintained through several imperfect repairs before a replacement is allowed. However they missed a part of coefficients in the integration. This paper corrects the erratum of Biswas and Sarkar [11] and performs the reliability analysis incorporating the optimal number of imperfect repairs. Methods: To find the singularities and residues of the suitable complex-valued function for the availability, the computer package Matlab is used. Also the performance measures are calculated by defining and assigning costs. Results: The accurate availability functions with respect to the numbers of imperfect repairs and the optimal number of imperfect repairs before a replacement are obtained. Conclusion: The reliability for a system under imperfect repair before a replacement is analyzed using Fourier transform technique.

Keywords

References

  1. Seo, S. G., Kim, H. G., Kwon, H. M., Cha, M. S. and Yoon, W. Y. (2015). "Reliability Engineering (2nd Ed.)". Kyobomoongo.
  2. Rausand, M. and Hoyland, A. (2004). "System Reliability Theory: Models, Statistical Methods, and Applications ". John Wiley & Sons.
  3. Blischke, W. R. and Murthy, D. N. P. (2000). "Reliability: modeling, prediction, and optimization". John Wiley & Sons.
  4. Nakagawa, T. (2006). "Maintenance Theory". Springer Science & Business Media.
  5. Wang, H. (2002). "A survey of maintenance polices of deteriorating systems". European Journal of Operations Research, Vol. 139, No. 3, pp. 469-489. https://doi.org/10.1016/S0377-2217(01)00197-7
  6. Cui, L. and Xie, M. (2005). "Availability of a periodically inspected system with random repair or replacement times". Journal of Statistical Planning and Interface, Vol. 131, No. 1, pp. 89-100. https://doi.org/10.1016/j.jspi.2003.12.008
  7. Sarkar, J. and Sarkar, S. (2000). "Availability of a periodically inspected system under perfect repair". Journal of Statistical Planning and Interface, Vol. 91, No. 1, pp. 77-90. https://doi.org/10.1016/S0378-3758(00)00128-2
  8. Kreyszig, E. (2010). "Advanced Engineering Mathematics". John Wiley & Sons.
  9. Sarkar, J. and Chaudhuri, G. (1999). "Availability of a system with gamma life and exponential repair time under a perfect repair policy". Statistics & Probability Letters, Vol. 43, No. 2, pp. 189-196. https://doi.org/10.1016/S0167-7152(98)00259-4
  10. Tang, T., Lin, D., Banjevic, D. and Jardine, A. K. (2011). "Erratum to 'Availability of a periodically inspected system under perfect repair' [J. Statist. Plann. Inference 91(2000) 77-99]". Journal of Statistical Planning and Interface, Vol. 141, No. 1, pp. 610. https://doi.org/10.1016/j.jspi.2010.06.025
  11. Biswas, A. and Sarkar, J. (2000), "Availability of a system maintained through several imperfect repairs before a replacement or a perfect repair". Statistics & Probability Letters, Vol. 50, No. 2, pp.105-114. https://doi.org/10.1016/S0167-7152(00)00087-0
  12. Montoro-Cazorla, D. and Perez-Ocon, R. (2006). "Reliability of a system under two types of failures using a Markovian arrival process". Operations Research Letters, Vol. 34, No. 5, pp. 525-530. https://doi.org/10.1016/j.orl.2005.09.003
  13. Baik, T. H., Chun, C. H. and Kim, K. S. (2010). "Matlab Concise". Infinity Books.