Journal of Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회논문집)

Korean Society of Coastal and Ocean Engineers (한국해안·해양공학회)
권호 표지
DOI QR코드

DOI QR Code

Development of Stochastic Expected Cost Model for Preventive Optimal- Maintenance of Armor Units of Rubble-Mound Breakwaters

경사제 피복재의 예방적 최적 유지관리를 위한 추계학적 기대비용모형의 개발

  • Lee, Cheol-Eung (Department of Civil Engineering, Kangwon National University)
  • Received : 2013.08.06
  • Accepted : 2013.10.02
  • Published : 2013.10.31
Download PDF
⟨ Previous Next ⟩

Abstract

A stochastic expected cost model has been suggested by combining the nonlinear cumulative damage model with the expected cost model together which can be useful for doing the preventive optimal-maintenance of the armor units of rubble-mound breakwaters. The suggested model has been satisfactorily calibrated by comparison of the results from others models, also the sensitivity analysis has been carried out in detail under the variation of the associated parameters with the model. The optimal repair times can be directly evaluated by minimizing the expected cost rates that depend on the social importances, damage intensity functions and resistance limits. Finally, the present cost model has been straightforwardly applied to the armor units of rubble-mound breakwaters. Based on the assumption of turning the damaged structure back to the state as good as new after repairs, the required optimal repair times and magnitudes can be determined quantitatively in terms of the optimum balance between the costs and benefits on the preventive maintenance.

비선형 누적피해모형과 경제성 모형을 결합하여 경사제 피복재를 예방적으로 최적 유지관리할 수 있는 추계학적 기대비용모형을 제안하였다. 기존 모형과의 비교를 통해 만족스럽게 검증되었으며, 관련 변수들의 민감도 분석도 자세히 수행하였다. 구조물의 중요도, 피해강도함수 그리고 저항한계에 따른 단위시간당 기대비용이 최소가 되는 최적의 보수 보강 시간을 산정할 수 있었다. 마지막으로 개발된 추계학적 기대비용모형을 경사제 피복재에 적용하였다. 구조물의 유지관리 비용과 편익을 최적화하여 어느 시점에 설계 당시 수준으로 보수 보강이 이루어져야 하는지를 정량적으로 결정할 수 있었다.

Keywords

References

  1. Barlow, R.E., and Hunter, L.C. (1960). Optimum preventive maintenance polices, Op. Res., 8, 90-100. https://doi.org/10.1287/opre.8.1.90
  2. British Standards Institution (1984). BS3811 Glossary of maintenance terms in Tero- technology, BSI, London.
  3. Dekker, R. (1995). Applications of maintenance optimization models: a review and analysis, Rei. Eng. and Sys. Saf., 51, 229-240.
  4. Ito, K., and Nakagawa, T. (2011). Comparison of three cumulative damage models, Qual. Tch. & Quant. Mang., 8(1), 57-66.
  5. Jardine, A.K.S., and Buzacott, J.A. (1985). Equipment reliability and maintenance, European J. of Op. Res., 19, 285-296. https://doi.org/10.1016/0377-2217(85)90124-9
  6. Lee, C.-E. (2012). Stochastic reliability analysis of armor units of rubble-mound breakwaters subject to multiple loads, Journal of the Korean Society of Coastal and Ocean Engineers, 24(2), 138-148. (in Korean). https://doi.org/10.9765/KSCOE.2012.24.2.138
  7. Lee, C.-E. (2013). Development of stochastic Markov process model for maintenance of armor units of rubble-mound breakwaters, Journal of the Korean Society of Coastal and Ocean Engineers, 25(2), 52-62. (in Korean). https://doi.org/10.9765/KSCOE.2013.25.2.52
  8. Lee, C.-E. and Kim, S.U. (2013). Stochastic probability model for preventive management of armor units of rubble-mound breakwaters, Journal of the Korean Society of Civil Engineers, 33(3), 1007-1015. (in Korean). https://doi.org/10.12652/Ksce.2013.33.3.1007
  9. Lee, C.-E., Kim, G. and Kim, S.U. (2013). Stochastic reliability analysis of armor units of rubble-mound breakwaters under the multiple loads, J. of Coastal Res., 65, 308-313. https://doi.org/10.2112/SI65-053.1
  10. Li, C.Q., and Zhao, J.M. (2010). Time-dependent risk assessment of combined overtopping and structural failure for reinforced concrete coastal structures, J. Waterway, Port, Coast., and Ocn. Eng., ASCE, 136(2), 97-103. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000031
  11. Madsen, H.O., Krenk, S. and Lind, N.C. (1986). Methods of structural safety, Prentice-Hall, Englewood Cliffs.
  12. Melby, J.A. (1999). Damage progression on breakwaters, Ph.D. thesis, Dept. of Civ. Engrg., Univ. of Delware, USA.
  13. Melchers, R.E. (1999). Structural reliability analysis and prediction, Wiley, Chichester.
  14. Mori, Y., and Ellingwood, B.R. (1994). Maintaining reliability of concrete structures. I. Role of inspection/repair, J. Struct. Eng., ASCE, 120(3), 824-845. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:3(824)
  15. Nguyen, D.G., and Murthy, D.N.P. (1981). Optimal preventive maintenance policies for repairable systems, Op. Res., 29(6), 1181-1194. https://doi.org/10.1287/opre.29.6.1181
  16. PIANC (1992). Analysis of rubble mound breakwaters, Supplement to Bull. N. 78/79, Brussels, Belgium.
  17. Pintelon, L.M., and Gelders, L.F. (1992). Maintenance management decision making, European J. of Op. Res., 58, 301-317. https://doi.org/10.1016/0377-2217(92)90062-E
  18. Ross, S.M. (1980). Introduction to probability models, Academic Press, N.Y.
  19. Sanchez-Silva, M., Klutke, G.-A., and Rosowsky, D.V. (2011). Life-cycle performance of structures subject to multiple deterioration mechanisms, Struct. Saf., 33, 206-217. https://doi.org/10.1016/j.strusafe.2011.03.003
  20. Speijker, L.J.P., van Noortwijk, J.M., Kok, M., and Cooke, R.M. (2000). Optimal maintenance decisions for dikes, Prob. Eng. and Inf. Sc., 14(1), 101-121.
  21. Taylor, H.M., and Karlin, S. (1984). An introduction to stochastic modeling, Academic Press, N.Y.
  22. van Noortwijk, J.M., and Klatter, H.E. (1999). Optimal inspection decisions for the block mats of the Eastern-Scheldt barrier, Rel. Eng. and Sys. Saf., 65, 203-211. https://doi.org/10.1016/S0951-8320(98)00097-0
  23. van der Meer, J.W. (1988). Deterministic and probabilistic design of breakwater armor layers, J. Waterway, Port, Coast., and Ocn. Eng., ASCE, 114(1), 66-80. https://doi.org/10.1061/(ASCE)0733-950X(1988)114:1(66)
  24. van der Weide, J.A.M., and Pandey, M.D. (2011). Stochastic analysis of shock process and modelling of condition-based maintenance, Rel. Eng. and Sys. Saf., 96, 619-626. https://doi.org/10.1016/j.ress.2010.12.012

Cited by

  1. Development of Stochastic Decision Model for Estimation of Optimal In-depth Inspection Period of Harbor Structures vol.28, pp.2, 2016, https://doi.org/10.9765/KSCOE.2016.28.2.63
  2. Discounted Cost Model of Condition-Based Maintenance Regarding Cumulative Damage of Armor Units of Rubble-Mound Breakwaters as a Discrete-Time Stochastic Process vol.29, pp.2, 2017, https://doi.org/10.9765/KSCOE.2017.29.2.109
  3. Condition-Based Model for Preventive Maintenance of Armor Units of Rubble-Mound Breakwaters using Stochastic Process vol.28, pp.4, 2016, https://doi.org/10.9765/KSCOE.2016.28.4.191