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Mathematical Problems in Engineering
Volume 2013, Article ID 125856, 15 pages
http://dx.doi.org/10.1155/2013/125856
Research Article

Time Intervals for Maintenance of Offshore Structures Based on Multiobjective Optimization

Instituto de Ingeniería, Universidad Nacional Autónoma de México, 04510 Coyoacán, DF, Mexico

Received 22 March 2013; Revised 28 June 2013; Accepted 5 July 2013

Academic Editor: Dan Simon

Copyright © 2013 Dante Tolentino and Sonia E. Ruiz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. S. Kong and D. M. Frangopol, “Life-cycle reliability-based maintenance cost optimization of deteriorating structures with emphasis on bridges,” Journal of Structural Engineering, vol. 129, no. 6, pp. 818–828, 2003. View at Publisher · View at Google Scholar · View at Scopus
  2. A. Miyamoto, K. Kawamura, and H. Nakamura, “Bridge management system and maintenance optimization for existing bridges,” Computer-Aided Civil and Infrastructure Engineering, vol. 15, no. 1, pp. 45–55, 2000. View at Google Scholar · View at Scopus
  3. M. Liu and D. M. Frangopol, “Optimal bridge maintenance planning based on probabilistic performance prediction,” Engineering Structures, vol. 26, no. 7, pp. 991–1002, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. H. Furuta, T. Kameda, and M. Erami, “A practical bridge management system using new multi-objective genetic algorithm,” in Bridge Maintenance, Safety, Management, Life-Cycle Performance and Cost, P. J. S. Cruz, D. M. Frangopol, and L. C. Neves, Eds., pp. 131–132, Taylor & Francis Group, London, UK, 2006. View at Google Scholar
  5. L. A. C. Neves, D. M. Frangopol, and P. J. S. Cruz, “Probabilistic lifetime-oriented multiobjective optimization of bridge maintenance: single maintenance type,” Journal of Structural Engineering, vol. 132, no. 6, pp. 991–1005, 2006. View at Publisher · View at Google Scholar · View at Scopus
  6. N. M. Okasha and D. M. Frangopol, “Lifetime-oriented multi-objective optimization of structural maintenance considering system reliability, redundancy and life-cycle cost using GA,” Structural Safety, vol. 31, no. 6, pp. 460–474, 2009. View at Publisher · View at Google Scholar · View at Scopus
  7. K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, “A fast and elitist multiobjective genetic algorithm: NSGA-II,” IEEE Transactions on Evolutionary Computation, vol. 6, no. 2, pp. 182–197, 2002. View at Publisher · View at Google Scholar · View at Scopus
  8. R. Skjong, “Reliability based optimization of inspection strategies,” in Proceedings of the 4th International Conference on Structural Safety and Reliability (ICOSSAR '85), vol. 3, pp. 614–618, Kobe, Japan, 1985.
  9. H. O. Madsen, J. D. Sørensen, and R. Olesen, “Optimal inspection planning for fatigue damage of offshore structures,” in Proceedings of the 5th International Conference on Structural Safety and Reliability (ICOSSAR '89), pp. 2099–2106, San Francisco, Calif, USA, August 1989. View at Scopus
  10. J. D. S. Sørensen, M. H. Faber, R. Rackwitz, and P. Thoft-Christensen, “Modeling in optimal inspection and repair,” in Proceedings of the 10th International Conference on Offshore Mechanics and Arctic Engineering (OMAE '91), pp. 281–288, Stavenger, Noruega, 1991.
  11. P. Thoft-Christensen and J. D. Sørensen, “Optimal strategies for inspection and repair of structural systems,” Civil Engineering Systems, vol. 4, no. 2, pp. 94–100, 1987. View at Google Scholar · View at Scopus
  12. T. Moan, O. T. Vardal, N.-C. Hellevig, and K. Skjoldli, “In-service observations of cracks in North Sea jackets. A study on initial crack depth and POD values,” in Proceedings of the 16th International Conference on Offshore Mechanics and Arctic Engineering (OMAE '97), pp. 189–197, Yokohama, Japan, April 1997. View at Scopus
  13. D. Straub, J. D. Sørensen, J. Goyet, and M. H. Faber, “Benefits of risk based inspection planning for offshore structures,” in Proceedings of the 25th International Conference on Offshore Mechanics and Arctic Engineering (OMAE '06), pp. 1–10, Hamburg, Germany, June 2006. View at Scopus
  14. M. H. Faber, “Reliability based inspection planning of fatigue damaged offshore platforms,” in Proceedings of the 1st International Symposium on Analysis of Structural Risk and Reliability for Offshore Facilities (IMP '01), Cancun, Mexico, 2001.
  15. C. E. O. Estrada and D. de León Escobedo, “Development of a cost-benefit model for inspection of offshore jacket structures in Mexico,” in Proceedings of the 22nd International Conference on Offshore Mechanics and Arctic Engineering; Offshore Technology Ocean Space Utilization, pp. 87–98, Cancun, Mexico, June 2003. View at Scopus
  16. J. D. Sørensen and G. Ersdal, “Risk based inspection planning of ageing structures,” in Proceedings of the 27th International Conference on Offshore Mechanics and Arctic Engineering (OMAE '08), pp. 399–408, Estoril, Portugal, June 2008. View at Scopus
  17. C. A. Cornell, F. Jalayer, R. O. Hamburger, and D. A. Foutch, “Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines,” Journal of Structural Engineering, vol. 128, no. 4, pp. 526–533, 2002. View at Publisher · View at Google Scholar · View at Scopus
  18. C. A. Cornell, “Calculating building seismic performance reliability: a basis for multi-level design norms,” in Proceedings of the 11th World Conference on Earthquake Engineering, 1996, paper no. 2122.
  19. Federal Emergency Management Agency (FEMA), “Recommended seismic evaluation and upgrade criteria for existing welded steel moment-frame buildings,” Tech. Rep. FEMA 351, SAC Joint Venture, Washington, DC, USA, 2000. View at Google Scholar
  20. S.-Y. Yun, R. O. Hamburger, C. A. Cornell, and D. A. Foutch, “Seismic performance evaluation for steel moment frames,” Journal of Structural Engineering, vol. 128, no. 4, pp. 534–545, 2002. View at Publisher · View at Google Scholar · View at Scopus
  21. M. A. Torres and S. E. Ruiz, “Structural reliability evaluation considering capacity degradation over time,” Engineering Structures, vol. 29, no. 9, pp. 2183–2192, 2007. View at Publisher · View at Google Scholar · View at Scopus
  22. D. Celarec, D. Vamvatsikos, and M. Dolšek, “Simplified estimation of seismic risk for reinforced concrete buildings with consideration of corrosion over time,” Bulletin of Earthquake Engineering, vol. 9, no. 4, pp. 1137–1155, 2011. View at Publisher · View at Google Scholar · View at Scopus
  23. D. Vamvatsikos and M. Dolšek, “Equivalent constant rates for performance-based seismic assessment of ageing structures,” Structural Safety, vol. 33, no. 1, pp. 8–18, 2011. View at Publisher · View at Google Scholar · View at Scopus
  24. D. Tolentino, S. E. Ruiz, and M. A. Torres, “Simplified closed-form expressions for the mean failure rate of structures considering structural deterioration,” Structure and Infrastructure Engineering, vol. 8, no. 5, pp. 483–496, 2012. View at Publisher · View at Google Scholar · View at Scopus
  25. D. Tolentino, Optimización multiobjetivo para el mantenimiento de estructuras considerando la influencia del daño acumulado [Ph.D. thesis], Graduate Program in Engineering, Universidad Nacional Autónoma de México, 2013 (Spanish).
  26. D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning, Addison Wesley Longman Inc., Boston, Mass, USA, 1989.
  27. M. Fragiadakis, N. D. Lagaros, and M. Papadrakakis, “Performance-based multiobjective optimum design of steel structures considering life-cycle cost,” Structural and Multidisciplinary Optimization, vol. 32, no. 1, pp. 1–11, 2006. View at Publisher · View at Google Scholar · View at Scopus
  28. O. Lavan and G. F. Dargush, “Multi-objective evolutionary seismic design with passive energy dissipation systems,” Journal of Earthquake Engineering, vol. 13, no. 6, pp. 758–790, 2009. View at Publisher · View at Google Scholar · View at Scopus
  29. K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms, John Wiley & Sons, Chichester, UK, 2001.
  30. D. E. Goldberg and K. Deb, “A comparative analysis of selection schemes used in genetic algorithms,” in Foundations of Genetic Algorithms (Bloomington, IN, 1990), G. J. E. Rawlins, Ed., pp. 69–93, Morgan Kaufmann, San Mateo, Calif, USA, 1991. View at Google Scholar · View at MathSciNet
  31. H. M. Mühlenbein and D. Schlierkamp-Voosen, “Predictive models for the breeder genetic algorithm,” Evolutionary Computation, vol. 1, no. 1, pp. 25–49, 1993. View at Google Scholar
  32. The MathWorks, Global Optimization Toolbox 3 User’s Guide, Version 3.1, 2010.
  33. F. L. Silva and E. Heredia, “Effect of uncertainties on the reliability of fatigue damaged systems,” in Proceedings of the 23th International Conference on Offshore Mechanics and Arctic Engineering (OMAE '04), vol. 2, pp. 427–434, Vancouver, Canada, 2004.
  34. P. Paris and F. A. Erdogan, “Critical analysis of crack propagation laws,” Journal of Basic Engineering, vol. 85, pp. 258–534, 1963. View at Google Scholar
  35. K. Sobczyk and F. B. Spencer, Random Fatigue: From Data Theory, Academic Press, Boston, Mass, USA, 1992.
  36. A. Stacey, J. V. Sharp, and N. W. Nichols, “Static strength assessment of cracked tubular joints,” in Proceedings of the 15th International Conference on Offshore Mechanics and Arctic Engineering (OMAE '96), vol. 3, pp. 211–224, June 1996. View at Scopus
  37. F. M. Burdekin, “The static strength of cracked joints in tubular members,” Offshore Technology Report 2001/080, Health and Safety Executive, London, UK, 2002. View at Google Scholar
  38. American Petroleum Institute (API), Recommended Practice for Planning Designing and Construction of Fixed Offshore Platforms Load and Resistance Factor Design, API RP 2a-LRFD, Washington, DC, USA, 1993.
  39. PEMEX, “Design and evaluation of fixed marine platforms in Campeche Bay,” NRF-2003-Pemex-2000, Mexico, 2000.
  40. A. Raine, “The development of Alternating Current Field Measurement (ACFM) technology as a technique for the detection of surface breaking defects in conducting material and its use in commercial and industrial applications,” in Proceedings of the 15th World Conference on Non-Destructive Testing, Rome, Italy, 2000.
  41. The Marine Technology Directorate Limited, Review of Repairs to Offshore Structures and Pipelines, vol. 94–102, 1994.
  42. L. R. Ford, Differential Equations, McGraw-Hill Book Company, New York, NY, USA, 1955.
  43. E. D. Rainville, Intermediate Course in Differential Equations, John Wiley & Sons, New York, NY, USA, 1961.