Cost-benefit optimization for maintained structures by a renewal model

Reliability Engineering and System Safety

Volumn 93, Issue 3, 2008, Pages 489-499

  Joanni, A ^a   Rackwitz, R ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Dependent repair and failure events; Finite renewal times; FORM SORM; Maintenance; Renewal theory

Indexed keywords

COMPUTATION THEORY; COST BENEFIT ANALYSIS; FAILURE ANALYSIS; MAINTENANCE;

DEPENDENT REPAIR; FAILURE EVENTS; FINITE RENEWAL TIMES;

STRUCTURAL DESIGN;

EID: 35348987632     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2006.12.014     Document Type: Article

References (32)

1. Rosenblueth E., and Mendoza E. Reliability optimization in isostatic structures. J Eng Mech Div ASCE 97 EM6 (1971) 1625-1642
2. Rackwitz R. Optimization-the basis of code making and reliability verification. Struct Saf 22 1 (2000) 27-60
3. Streicher H., and Rackwitz R. Renewal models for optimal life-cycle cost of aging civil infrastructures. In: Frangopol D.M., et al. (Ed). IABMAS workshop on life-cycle cost analysis and design of civil infrastructure systems and JCSS workshop on probabilistic modeling of deterioration processes in concrete structures, Lausanne, 24-26.3.2003 (2004), ASCE, New York 401-412
4. Streicher H., and Rackwitz R. Time-variant reliability-oriented structural optimization and a renewal model for life-cycle costing. Probab Eng Mech 19 1-2 (2004) 171-183
5. Barlow R.E., and Proschan F. Mathematical theory of reliability (1965), Wiley, New York
6. Barlow R.E., and Proschan F. Statistical theory of reliability and life testing (1975), Holt, Rinehart and Winston, New York
7. Fox B. Age replacement with discounting. Oper Res 14 (1966) 533-537
8. Streicher H, Joanni A, Rackwitz R. Cost-benefit optimization and risk acceptability for existing, aging but maintained structures. Struct Saf 2006, accepted for publication.
9. Rackwitz R, Lentz A. Risk acceptability for aging but maintained series systems. Proceedings of the IFED conference, Calgary, 2006.
10. Joanni A, Rackwitz R. Stochastic dependencies in inspection, repair and failure models. Proceedings of the ESREL 2006, Lisbon, 2006.
11. Hohenbichler M., and Rackwitz R. Non-normal dependent vectors in structural safety. J Eng Mech ASCE 107 6 (1981) 1227-1249
12. Hohenbichler M., Gollwitzer S., Kruse W., and Rackwitz R. New light on first- and second-order reliability methods. Struct Saf 4 4 (1987) 267-284
13. Rackwitz R. Reliability analysis-a review and some perspectives. Struct Saf 23 4 (2001) 365-395
14. Powell M.J.D. A direct search optimization method that models the objective and constraint functions by linear interpolation. In: Gomez S., and Hennart J.-P. (Eds). Proceedings of the sixth workshop on optimization and numerical analysis, Oaxaca, Mexico, January 1992 (1994), Kluwer Academic Publishers, Dordrecht 5167
15. Madsen H.O., Krenk S., and Lind N.C. Methods of structural safety (1986), Prentice-Hall, Englewood-Cliffs, NJ
16. Au S.-K., and Beck J.L. First excursion probabilities for linear systems by very efficient importance sampling. Probab Eng Mech 16 3 (2001) 193-207
17. Hohenbichler M., and Rackwitz R. First-order concepts in system reliability. Struct Saf 1 3 (1983) 177-188
18. Gollwitzer S., and Rackwitz R. An efficient numerical solution to the multinormal integral. Probab Eng Mech 3 2 (1988) 98-101
19. Pandey M.D. An effective approximation to evaluate multinormal integrals. Struct Saf 20 1 (1998) 51-67
20. Joanni A.E., and Rackwitz R. High-dimensional multivariate normal integrals for a discrete approximation of the first-passage density. In: Sørensen J.D., and Frangopol D.M. (Eds). Proceedings of the 12th IFIP WG 7.5 working conference on reliability and optimization of structural systems, Aalborg, Denmark, May 2005 (2005), Taylor & Francis, London 115-123
21. Ambartzumian R., Der Kiureghian A., Ohanian V., and Sukasian H. Multinormal probability by sequential conditional importance sampling. In: Guedes Soares C. (Ed). Proceedings of the ESREL97 Lisbon, Portugal vol. 2 (1997), Pergamon, New York 1261-1268
22. Genz A. Numerical computation of multivariate normal probabilities. Comput Graph Statist 1 (1992) 141-149
23. Dunnet C.W., and Sobel M. Approximation to the probability integral and certain percentage points of multivariate analogue of student's distribution. Biometrika 42 (1955) 258-260
24. Cox D.R. Renewal theory (1962), London, Methuen
25. Ayhan H., Limon-Robles J., and Wortman M.A. An approach for computing tight numerical bounds on renewal function. IEEE Trans Reliab 48 2 (1999) 182-188
26. Brown M., and Proschan F. Imperfect repair. J Appl Probab 20 (1983) 851-859
27. Pham H., and Wang H. Imperfect maintenance. Eur J Oper Res 94 (1996) 425-438
28. Von Neumann J., and Morgenstern A. Theory of games and economical behavior (1943), Princeton University Press, New York
29. Rackwitz R., Lentz A., and Faber M. Socio-economically sustainable civil engineering infrastructures by optimization. Struct Saf 27 3 (2005) 187-229
30. Hasofer A.M., and Rackwitz R. Time-dependent models for code optimization. In: Melchers R.E., and Stewart M.G. (Eds). Proceedings of the ICASP8 conference Sydney, 12-15 December, 1999 vol. 1 (2000), Balkema, Rotterdam 151-158
31. Ran A., and Rosenlund S.I. Age replacement with discounting for a continuous maintenance cost model. Technometrics 18 4 (1976) 459-465
32. Van Noortwijk J.M. Cost-based criteria for obtaining optimal design decisions. In: Corotis M., et al. (Ed). Struct Saf Reliab. Proceedings ICOSSAR 01, Newport Beach 23-25 June (2001), Sweets & Zeitlinger, Lisse