Abstract

Infrastructure management plays an important role in sustainable development and is essential for the evaluation of the socioeconomic feasibility of existing projects and the development of new ones. This paper presents a review of key aspects involved in the maintenance and operation of infrastructure under uncertainty. It discusses the main conceptual and theoretical principles and guides the reader through different aspects of the problem by offering a large set of state-of-the-art references. Although the paper does not provide a comprehensive description of all maintenance methods and policies available in the literature, it critically reviews the main approaches. The concepts presented and discussed in this paper provide the basis to build models that can be used for making better decisions for maintaining and operating infrastructure systems.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors would like to acknowledge the comments and suggestions of members of Task Group 1 of the ASCE-SEI Technical Council on Life-Cycle Performance, Safety, Reliability and Risk of Structural Systems, in particular, Professors S. Diniz, A. Palermo, S. Labi, M. Shah, and F. Biondini.

References

Archilla, A. (2006). “Repeated measurement data analysis in pavement deterioration modeling.” J. Infrastruct. Syst., 163–173.
Assaf, D., and Shanthikumar, J. G. (1987). “Optimal group maintenance policies with continuous and periodic inspection.” Manage. Sci., 33(11), 1440–1452.
Augusti, G., Ciampoli, M., and Frangopol, D. M. (1998). “Optimal planning of retrofitting interventions on bridges in a highway network.” Eng. Struct., 20(11), 933–939.
Aven, T. (1983). “Optimal replacement under a minimal repair strategy—A general failure model.” Adv. Appl. Prob., 15(1), 198–211.
Aven, T., and Jensen, U. (1999). “Stochastic models in reliability.” Series of applications on mathematics: Stochastic models and applied probability, Vol. 41, Springer, New York.
Baik, H.-S., Jeong, H., and Abraham, D. (2006). “Estimating transition probabilities in Markov chain-based deterioration models for management of water systems.” J. Water Resour. Plann., Manage., 15–24.
Barlow, R. E., and Proshan, F. (1965). Mathematical theory of reliability, Wiley, New York.
Barone, G., Frangopol, D. M., and Soliman, M. (2014). “Optimization of life-cycle maintenance of deteriorating structures considering expected annual system failure rate and expected cumulative cost.” J. Struct. Eng., 04013043.
Bastidas, E., Bressolette, P., Chateneuf, A., and Sanchez-Silva, M. (2009). “Probabilistic lifetime assessment of RC structures subject to corrosion-fatigue deterioration.” Struct. Saf., 31(1), 84–96.
Ben-Akiva, M., and Ramaswamy, R. (1993). “An approach for predicting latent infrastructure facility deterioration.” Transp. Sci., 27(2), 174–193.
Berg, M., and Epstein, B. (1976). “A modified block replacement policy.” Nav. Res. Logist., 23(1), 15–24.
Berg, M., and Epstein, B. (1978). “Comparison of age, block, and failure replacement.” IEEE Trans. Reliab., R-27(1), 25–29.
Biondini, F., Bontempi, F., Frangopol, D. M., and Malerba, P. G. (2006). “Probabilistic service life assessment and maintenance planning of concrete structures.” J. Struct. Eng., 810–825.
Biondini, F., and Frangopol, D. M. (2009). “Lifetime reliability-based optimization of reinforced concrete cross-sections under corrosion.” Struct. Saf., 31(6), 483–489.
Biondini, F., and Frangopol, D. M. (2016). “Life-cycle performance of deteriorating structural systems under uncertainty: Review.” J. Struct. Eng., in press.
Biondini, F., Frangopol, D. M., and Malerba, P. G. (2008). “Uncertainty effects on lifetime structural performance of cable-stayed bridges.” Probab. Eng. Mech., 23(4), 509–522.
Bocchini, P., and Frangopol, D. M. (2011). “A probabilistic computational framework for bridge network optimal maintenance scheduling.” Reliab. Eng. Syst. Saf., 96(2), 332–349.
Bocchini, P., and Frangopol, D. M. (2013). “Connectivity-based optimal scheduling for maintenance of bridge networks.” J. Eng. Mech., 760–769.
Boland, P. J., and Proschan, F. (1982). “Periodic replacement with increasing minimal repair costs at failure.” Oper Res, 30(6), 1183–1189.
Bosch, K., and Jensen, U. (1983). “Maintenance models: A survey. Parts 1 & 2.” OR Spektrum, 5(2), 105–118, 129–148 (in German).
BSI (British Standards Institution). (1984). “Glossary of maintenance terms in terotechnology.” BS3811, London.
Bucher, C., and Frangopol, D. M. (2006). “Optimization of lifetime maintenance strategies for deteriorating structures considering probabilities of violating safety, condition, and cost thresholds.” Probab. Eng. Mech., 21(1), 1–8.
Casas, J. R., and Cruz, P. J. (2003). “Fiber optic sensors for bridge monitoring.” J. Bridge Eng., 362–373.
Chang, S. E., and Shinozuka, M. (1996). “Life-cycle cost analysis with natural hazard risk.” J. Infrastruct. Syst., 118–126.
Chen, D., and Trived, K. S. (2005). “Optimization for condition-based maintenance with semi-Markov decision process.” Reliab. Eng. Syst. Saf., 90(1), 25–29.
Chen, M., and Feldman, R. M. (1997). “Optimal replacement policies with minimal repair and age-dependent costs.” Eur. J. Oper. Res., 98(1), 75–84.
Cho, D. I., and Parlar, M. (1991). “A survey of maintenance models for multiunit systems.” Eur. J. Oper. Res., 51(1), 1–23.
Choe, D., Gardoni, P., Rosowsky, D., and Haukaas, T. (2008). “Probabilistic capacity models and seismic fragility estimates for RC columns subject to corrosion.” Reliab. Eng. Syst. Saf., 93(3), 383–393.
Cleroux, R., Dubuc, S., and Tilquin, C. (1979). “The age replacement problem with minimal repair and random repair costs.” Oper. Res., 27(6), 1158–1167.
Cox, D. R. (1962). Renewal theory, Methuen, London.
Dagpunar, J. S. (1996). “Maintenance model with opportunities and interrupt replacement options.” J. Oper. Res. Soc., 47(11), 1406–1409.
Dekker, R. (1996). “Applications of maintenance optimization models: A review and analysis.” Reliab. Eng. Syst. Saf., 51(3), 229–240.
Denardo, E. V. (1982). Dynamic programming: Models and applications, Prentice-Hall, 24. Englewood Cliffs, NJ.
Derman, C. (1970). Finite state Markovian decision processes, Academic Press, New York.
Dohi, T., Kaio, N., and Osaki, S. (2000). “Basic preventive maintenance policies and their variations.” Maintenance, modeling and optimization, M. Ben-Daya, S. O. Duffuaa, and A. Raouf, eds., Kluwer Academic, Boston, 155–183.
Dueñas-Osorio, L., and Padgett, J. (2011). “Seismic reliability assessment of bridges with user-defined system failure events.” J. Eng. Mech., 680–690.
Dueñas-Osorio, L., and Rojo, J. (2011). “Reliability assessment of lifeline systems with radial topology.” Comput.-Aided Civ. Infrastruct. Eng., 26(2), 111–128.
Duracrete. (2000). “Statistical quantification of the variables in the limit state functions.”, European Union, Gauda.
Durango, P., and Madanat, S. (2002). “Optimal maintenance and repair policies in infrastructure management under uncertain facility deterioration rates: An adaptive control approach.” Transp. Res. Part A: Policy Pract., 36(9), 763–778.
Durango-Cohen, P., and Sarutipand, P. (2009). “Maintenance optimization for transportation systems with demand responsiveness.” Transp. Res. Part C: Emerging Technol., 17(4), 337–348.
Enright, M. P., and Frangopol, D. M. (1999). “Maintenance planning for deteriorating concrete bridges.” J. Struct. Eng., 1407–1414.
Esary, J. D., Marshall, A. W., and Proschan, F. (1973). “Shock models and wear processes.” Ann. Probab., 1(4), 627–649.
Estes, A. C., and Frangopol, D. M. (1999). “Repair optimization of highway bridges using system reliability approach.” J. Struct. Eng., 766–775.
Estes, A. C., and Frangopol, D. M. (2001). “Minimum expected cost-oriented optimal maintenance planning for deteriorating structures: Application to concrete bridge decks.” Reliab. Eng. Syst. Saf., 73(3), 281–291.
Feldman, R. (1977). “Optimal replacement for systems governed by Markov additive shock processes.” Ann. Probab., 5(3), 413–429.
Frangopol, D. M, Kong, J. S., and Gharaibeh, E. S. (2001). “Reliability-based life-cycle management of highway bridges.” J. Comput. Civ. Eng., 27–34.
Frangopol, D. M. (2011). “Life-cycle performance, management and optimization of structural systems under uncertainty: Accomplishments and challenges.” Struct. Infrastruct. Eng., 7(6), 389–413.
Frangopol, D. M., and Estes, A. C. (1997). “Lifetime bridge maintenance strategies based on system reliability.” Struct. Eng. Int., 7(3), 193–198.
Frangopol, D. M., Kallen, M. J., and van Noortwijk, J. M. (2004). “Probabilistic models for life-cycle performance of deteriorating structures: Review and future directions.” Prog. Struct. Eng. Mater., 6(4), 197–212.
Frangopol, D. M., and Kim, S. (2011). “Service life, reliability and maintenance of civil structures.” Service life estimation and extension of civil engineering structures, L. S. Lee and V. Karbari, eds., Woodhead, Cambridge, U.K., 145–178.
Frangopol, D. M., Lin, K-Y., and Estes, A. C. (1997). “Life-cycle cost design of deteriorating structures.” J. Struct. Eng., 1390–1401.
Frangopol, D. M., and Liu, M. (2007). “Maintenance and management of civil infrastructure based on condition, safety, optimization, and life-cycle cost.” Struct. Infrastruct. Eng., 3(1), 29–41.
Frangopol, D. M., and Messervey, T. B. (2008). “Life-cycle cost and performance prediction: Role of structural health monitoring.” Frontier technologies for infrastructures engineering, S.-S. Chen, and A. H.-S. Ang, eds., Vol. 4, CRC Press/Balkema, Boca Raton, FL, 361–381.
Frangopol, D. M., and Messervey, T. B. (2009). “Maintenance principles for civil structures.” Encyclopedia of structural health monitoring, C. Boller, F.-K. Chang, and Y. Fujino, eds., Wiley, Chichester, U.K., 1533–1562.
Frangopol, D. M., Miyake, M., Kong, J. S., Gharaibeh, E. S., and Estes, A. C. (2002). “Reliability– and cost–oriented optimal bridge maintenance planning.” Recent advances in optimal structural design, S. Burns, ed., ASCE, Reston, VA, 257–270.
Frangopol, D. M., and Neves, L. C. (2008). “Optimization of life-cycle maintenance strategies under uncertainties: Role of inspections.” Trends in computational structures technology, B. H. V. Topping and M. Papadrakakis, eds., Saxe-Coburg, Stirling, Scotland, 55–74.
Frangopol, D. M., and Okasha, N. M. (2009). “Multi-criteria optimization of life-cycle maintenance programs using advanced modeling and computational tools.” Trends in civil and structural computing, B. H. V. Topping, L. F. Costa Neves, and C. Barros, eds., Saxe-Coburg, Stirling, Scotland, 1–26.
Frangopol, D. M., and Saydam, D. (2014). “Structural performance indicators for bridges.” Bridge engineering handbook, 2nd Ed., W.-F. Chen and L. Duan, eds., CRC Press, Boca Raton, FL, 185–205.
Frangopol, D. M., Strauss, A., and Bergmeister, K. (2009). “Lifetime cost optimization of structures by a combined condition-reliability approach.” Eng. Struct., 31(7), 1572–1580.
Furuta, H., Kameda, T., Nakahara, K., Takahashi, Y., and Frangopol, D. M. (2006). “Optimal bridge maintenance planning using improved multi-objective genetic algorithm.” Struct. Infrastruct. Eng., 2(1), 33–41.
Gervasio, H., and da Silva, L. S. (2008). “Comparative life-cycle analysis of steel-concrete composite bridges.” Struct. Infrastruct. Eng., 4(4), 251–269.
Ghosh, J., and Padgett, J. E. (2010). “Aging considerations in the development of time-dependent seismic fragility curves.” J. Struct. Eng., 1497–1511.
Ghosh, J., Rokneddin, K., Padgett, J. E., and Dueñas-Osorio, L. (2013). “Seismic reliability assessment of aging highway bridge networks with field instrumentation data and correlated failures. I: Methodology.” Earthquake Spectra, 30(2), 795–817.
Ghosn, M. et al. (2016a). “Performance indicators for structural systems and infrastructure networks.” J. Struct. Eng., in press.
Ghosn, M. et al. (2016b). “Reliability-based performance indicators for structural members.” J. Struct. Eng., in press.
Golabi, K. (1983). “A Markov decision modeling approach to a multi-objective maintenance problem.” Essays and surveys on multiple criteria decision making, P. Hansen, ed., Springer, Berlin, 115–125.
Golabi, K., Kulkarni, R. B., and Way, GB. (1982). “A statewide pavement management system.” Interfaces, 12(6), 5–21.
Golabi, K., and Shepard, R. (1997). “Pontis: A system for maintenance optimization and improvement of US bridge networks.” Interfaces, 27(1), 71–88.
Gómez, C., Sánchez-Silva, M., Dueñas-Osorio, L., and Rosowsky, D. V. (2013). “Hierarchical infrastructure network representation methods for risk-based decision-making.” Struct. Infrastruct. Eng., 9(3), 260–274.
González, A. D., Dueñas-Osorio, L., Sánchez-Silva, M., Medaglia, A. (2016). “The interdependent network design problem for optimal infrastructure system restoration.” Comput.-Aided Civ. Infrastruct. Eng., 31(5), 334–350.
Grigg, N. (2006). “Condition assessment of water distribution pipes.” J. Infrastruct. Syst., 147–153.
Guillaumot, V., Durango-Cohen, P., and Madanat, S. (2003). “Adaptive optimization of infrastructure maintenance and inspection decisions under performance model uncertainty.” J. Infrastruct. Syst., 133–139.
Hawk, H., and Small, EP. (1998). “The BRIDGIT bridge management system.” Struct. Eng. Int., 8(4), 309–314.
Hernandez-Fajardo, I., and Dueñas-Osorio, L. (2013). “Probabilistic study of cascading failures in complex interdependent lifeline systems.” Reliab. Eng. Syst. Saf., 111, 260–272.
Holland, C. W., and McLean, R. A. (1975). “Applications of replacement theory.” AIIE Trans., 7(1), 42–47.
Howard, R. (2007). Dynamic probabilistic systems, Dover, New York.
Iervolino, I., Giorgio, M., and Chioccarelli, E. (2013). “Gamma degradation models for earthquake-resistant structures.” Struct. Saf., 45, 48–58.
IISI (International Iron and Steel Institute). (2002). “World steel life cycle inventory—Methodology report.” Brussels, Belgium.
ISO (International Organisation of Standardisation). (2000). “Environmental management—Life-cycle assessment—Life cycle impact assessment.” Geneva.
Itoh, Y., and Kitagawa, T. (2003). “Using CO2 emission quantities in bridge lifecycle analysis.” Eng. Struct., 25(5), 565–577.
Junca, M., Sanchez-Silva, M. (2013a). “Optimal maintenance policy for permanently monitored infrastructure subjected to extreme events.” Probab. Eng. Mech., 33, 1–8.
Junca, M., and Sánchez-Silva, M. (2013b). “Optimal maintenance policy for a compound Poisson shock model.” IEEE Trans. Reliab., 62(1), 66–72.
Keller, J. B. (1974). “Optimum checking schedules for systems subject to random failure.” Manage. Sci., 21(3), 256–260.
Kim, S., Frangopol, D. M., and Soliman, M. (2013). “Generalized probabilistic framework for optimum inspection and maintenance planning.” J. Struct. Eng., 435–447.
Kleiner, Y. (2001). “Scheduling inspection and renewal of large infrastructure assets.” J. Infrastruct. Syst., 136–143.
Klutke, G.-A., and Yang, Y. (2002). “The availability of inspected systems subject to shocks and graceful degradation.” IEEE Trans. Reliab., 51(3), 371–374.
Konakli, K., Sudret, B., and Faber, M. H. (2015). “Numerical investigations into the value of information in lifecycle analysis of structural systems.” J. Risk Uncertainty Eng. Syst., Part A: Civ. Eng., B4015007.
Kong, J. S., and Frangopol, D. M. (2003a). “Evaluation of expected life-cycle maintenance cost of deteriorating structures.” J. Struct. Eng., 682–691.
Kong, J. S., and Frangopol, D. M. (2003b). “Life-cycle reliability-based maintenance cost optimization of deteriorating structures with emphasis on bridges.” J. Struct. Eng., 818–828.
Kong, J. S., and Frangopol, D. M. (2004). “Prediction of reliability and cost profiles of deteriorating structures under time- and performance-controlled maintenance.” J. Struct. Eng., 1865–1874.
Kong, J. S., and Frangopol, D. M. (2005). “Probabilistic optimization of aging structures considering maintenance and failure costs.” J. Struct. Eng., 600–616.
Kumar, R., and Gardoni, P. (2014). “Renewal theory-based life-cycle analysis of deteriorating engineering systems.” Struct. Saf., 50, 94–102.
Kumar, R., Gardoni, P., and Sanchez-Silva, M. (2009). “Effect of cumulative seismic damage and corrosion on the life-cycle cost of reinforced concrete bridges.” Earthquake Eng. Struct. Dyn., 38(7), 887–905.
Kuo, W., and Zuo, M. J. (2003). Optimal reliability modeling, Wiley, Hoboken, NJ.
Kwon, K., and Frangopol, D. M. (2012). “Fatigue life assessment and lifetime management of aluminum ships using life-cycle optimization.” J. Ship Res., 56(2), 91–105.
Laggoune, R., Chateauneuf, A., and Aissani, D. (2010), “Impact of few failure data on the opportunistic replacement policy for multi-component systems.” Reliab. Eng. Syst. Saf., 95(2), 108–119.
Lam, Y. (2007). The geometric process and its applications, World Scientific, NJ.
Leemis, L. M. (1995). Reliability, probabilistic models and statistical methods, Prentice Hall, Upper Saddle River, NJ.
Legat, V., Zaludova, A. H., Cervenka, V., and Jurca, V. (1996). “Contribution to optimization of preventive maintenance.” Reliab. Eng. Syst. Saf., 51(3), 259–266.
Lipkus, S. E. (1993). “A bridge management system software.” Computing and Building Engineering: Proc., 5th Int. Conf. (V-ICCCBE), L. F. Cohn, ASCE, New York, 1049–1056.
Liu, M., and Frangopol, D. M. (2004). “Optimal bridge maintenance planning based on probabilistic performance prediction.” Eng. Struct., 26(7), 991–1002.
Liu, M., and Frangopol, D. M. (2005a). “Bridge annual maintenance prioritization under uncertainty by multiobjective combinatorial optimization.” Comput. Aided Civ. Infrastruct. Eng., 20(5), 343–353.
Liu, M., and Frangopol, D. M. (2005b). “Maintenance planning of deteriorating bridges by using multiobjective optimization.” Transp. Res. Rec., 11-S, 491–500.
Liu, M., and Frangopol, D. M. (2005c). “Multiobjective maintenance planning optimization for deteriorating bridges considering condition, safety and life-cycle cost.” J. Struct. Eng., 833–842.
Liu, M., and Frangopol, D. M. (2005d). “Time-dependent bridge network reliability: Novel approach.” J. Struct. Eng., 329–337.
Lounis, Z., and McAllister, T. P. (2016). “Risk-based decision making for sustainable and resilient infrastructure systems.”, in press.
Madanat, S. (1993). “Incorporating inspection decisions in pavement management.” Transp. Res., Part B: Methodol., 27(6), 425–438.
Madanat, S., and Ben-Akiva, M. (1994). “Optimal inspections and repair policies for infrastructure facilities.” Transp. Sci., 28(1), 55–62.
Madanat, S., Mishalani, R., and Wan Ibrahim, W. H. (1995). “Estimation of infrastructure transition probabilities from condition rating data.” J. Infrastruct. Syst., 120–125.
Madanat, S., Park, S., and Kuhn, K. (2006). “Adaptive optimization and systematic probing of infrastructure system maintenance policies under model uncertainty.” J. Infrastruct. Syst., 192–198.
Melchers, R. (2006). “Recent progress in the modeling of corrosion of structural steel immersed in seawaters.” J. Infrastruct. Syst., 154–162.
Melchers, R. E. (1999). “Corrosion uncertainty modelling for steel structures.” J. Constr. Steel Res., 52(1), 3–19.
Melchers, R. E. (2000). Structural reliability: Analysis and prediction, 2nd Ed., Wiley, Chichester, U.K.
Melchers, R. E. (2003). “Modelling of marine immersion corrosion for copper-bearing steels.” Corros. Sci., 45(10), 2307–2323.
Melchers, R. E. (2005). “The effect of corrosion on the structural reliability of steel offshore structures.” Corros. Sci., 47(10), 2391–2410.
Misra, K. B. (2008). “Maintenance engineering and maintainability: An introduction.” Handbook of performability engineering, Misra K. B. eds., Springer, London.
Morcous, G. (2006). “Performance prediction of bridge deck systems using Markov chains.” J. Perform. Constr. Facil., 146–155.
Mori, Y., and Ellingwood, B. (2006). “Reliability assessment of reinforced concrete walls degraded by aggressive operating environments.” Comput.-Aided Civ. Infrastruct. Eng., 21(3), 157–170.
Mori, Y., and Ellingwood, B. R. (1994a). “Maintaining reliability of concrete structures. I: Role of inspection/repair.” J. Struct. Eng., 824–845.
Mori, Y., and Ellingwood, B. R. (1994b). “Maintaining reliability of concrete structures. II: Optimum inspection/repair strategies.” J. Struct. Eng., 846–862.
Morimura, H. (1970). “On some preventive maintenance policies for IFR.” J. Oper. Res. Soc. Jpn., 12, 94–124.
Munford, A. G., and Shahani, A. K. (1972). “A nearly optimal inspection policy.” Oper. Res. Q., 23(3), 373–379.
Munford, A. G., and Shahani, A. K. (1973). “An inspection policy for the Weibull case.” Oper. Res. Q., 24(3), 453–458.
Nakagawa, T. (1979). “Further results on replacement problem of a parallel system in a random environment.” J. Appl. Probab., 16(4), 923–926.
Nakagawa, T. (2005). Maintenance theory of reliability, Springer, London.
Nakagawa, T., Nishi, K., and Yasui, K. (1984). “Optimum preventive maintenance polices for a computer system with restart.” IEEE Trans. Reliab., R-33(4), 272–276.
Nakagawa, T., and Yasui, K. (1980). “Approximate calculation of optimal inspection times.” J. Oper. Res. Soc., 31(9), 851–853.
Neves, L., Frangopol, D., and Cruz, P. (2006a). “Probabilistic lifetime-oriented multiobjective optimization of bridge maintenance: Single maintenance type.” J. Struct. Eng., 991–1005.
Neves, L., Frangopol, D., and Petcherdchoo, A. (2006b). “Probabilistic lifetime-oriented multiobjective optimization of bridge maintenance: Combination of maintenance types.” J. Struct. Eng., 1821–1834.
Neves, L. C., Frangopol, D. M., and Cruz, P. J. S. (2004). “Cost of reliability improvement and deterioration delay of maintained structures.” Comput. Struct., 82(13–14), 1077–1089.
Nisbet, M., Marceau, M., and VanGeem, M. (2002). “Environmental life cycle inventory of portland cement concrete.” Portland Cement Association, Stokie, IL.
Ochoa, L., Hendrickson, M., Matthews, H. S. (2002). “Economic input-output life-cycle assessment of US residential buildings.” J. Infrastruct. Syst., 132–138.
Okasha, N. M., and Frangopol, D. M. (2009). “Lifetime oriented multi-objective optimisation of structural maintenance considering system reliability, redundancy and life-cycle cost using GA.” Struct. Saf., 31(6), 460–474.
Okasha, N. M., and Frangopol, D. M. (2010a). “Advanced modeling for efficient computation of life-cycle performance prediction and service-life estimation of bridges.” J. Comput. Civ. Eng., 548–556.
Okasha, N. M., and Frangopol, D. M. (2010b). “Novel approach for multi-criteria optimization of life-cycle preventive and essential maintenance of deteriorating structures.” J. Struct. Eng., 1009–1022.
Okasha, N. M., and Frangopol, D. M. (2010c). “Redundancy of structural systems with and without maintenance: An approach based on lifetime functions.” Reliab. Eng. Syst. Saf., 95(5), 520–533.
Okasha, N. M., and Frangopol, D. M. (2012). “Integration of structural health monitoring in a system performance based life-cycle bridge management framework.” Struct. Infrastruct. Eng., 8(11), 999–1016.
Okasha, N. M., Frangopol, D. M., and Orcesi, A. D. (2012). “Automated finite element updating using strain data for the lifetime reliability assessment of bridges.” Reliab. Eng. Syst. Saf., 99, 139–150.
Okumoto, K., and Elsayed, E. A. (1983). “An optimum group maintenance policy.” Nav. Res. Logist. Q., 30(4), 667–674.
Orcesi, A. D., and Frangopol, D. M. (2011a). “Optimization of bridge maintenance strategies based on structural health monitoring information.” Struct. Saf., 33(1), 26–41.
Orcesi, A. D., and Frangopol, D. M. (2011b). “Probability-based multiple-criteria optimization of bridge maintenance using monitoring and expected error in the decision process.” Struct. Multidiscip. Optim., 44(1), 137–148.
Orcesi, A. D., and Frangopol, D. M. (2011c). “Use of lifetime functions in the optimization of nondestructive inspection strategies for bridges.” J. Struct. Eng., 531–539.
Orcesi, A. D., Frangopol, D. M., and Kim, S. (2010). “Optimization of bridge maintenance strategies based on multiple limit states and monitoring.” Eng. Struct., 32(3), 627–640.
Ortiz-Garca, J. J., Costello, S., and Snaith, M. (2006). “Derivation of transition probability matrices for pavement deterioration modeling.” J. Transp. Eng., 132(2), 283–294.
Osman, H., and Bainbridge, K. (2011). “Comparison of statistical deterioration models for water distribution networks.” J. Perform. Constr. Facil., 259–266.
Padgett, J. E., and DesRoches, R. (2008). “Methodology for the development of analytical fragility curves for retrofitted bridges.” J. Earthquake Eng. Struct. Dyn., 37(8), 1157–1174.
Padgett, J. E., and Tapia, C. (2013). “Sustainability of natural hazard risk mitigation: A life-cycle analysis of environmental indicators for bridge infrastructure.” J. Infrastruct. Syst., 395–408.
Pandey, M. D., and Yuan, X.-X. (2006). “A comparison of probabilistic models of deterioration for life cycle management.” Proc., Int. Conf. Advances in Engineering Structures, Mechanics and Construction, Waterloo, ON, Canada, 735–746.
Pandey, M. D., Yuan, X.-X., and van Noortwijk, J. M. (2009). “The influence of temporal uncertainty of deterioration on life-cycle management of structures.” Struct. Infrastruct. Eng., 5(2), 145–156.
Petcherdchoo, A., Neves, L. A. C., and Frangopol, D. M. (2008). “Optimizing lifetime condition and reliability of deteriorating structures with emphasis on bridges.” J. Struct. Eng., 544–552.
Pham, H., and Wang, H. (2000). “Optimal (T; T) opportunistic maintenance of a k-out-of-n:G system with imperfect PM and partial failure.” Nav. Res. Logist., 47(3), 223–239.
Pierskalla, W. P., and Voelker, J. A. (1979). “A survey of maintenance models: The control and surveillance of deteriorating systems.” Nay. Res. Logist. Q., 23(3), 353–388.
Pulcini, G. (2003). “Mechanical reliability and maintenance models.” Handbook of reliability engineering, H. Pham, ed., Springer, London, 317–348.
Pullen, K. W., and Thomas, M. U. (1986). “Evaluation of an opportunistic replacement policy for a 2-unit system.” IEEE Trans. Reliab., 35(3), 320–324.
Rackwitz, R. (2000). “Optimization—The basis for code making and reliability verification.” Struct. Saf., 22(1), 27–60.
Rackwitz, R. (2006). “The effect of discounting, different mortality reduction schemes and predictive cohort life tables on risk acceptability criteria.” Reliab. Eng. Syst. Saf., 91(4), 469–484.
Rackwitz, R., and Joanni, A. (2009). “Risk acceptance and maintenance optimization of aging civil engineering infrastructures.” Struct. Saf., 31(3), 251–259.
Rackwitz, R., Lentz, A., and Faber, M. (2005). “Socio-economically sustainable civil engineering infrastructures by optimization.” Struct. Saf., 27(3), 187–229.
Riascos-Ochoa, J., Sanchez-Silva, M., and Akhavan-Tabatabaei, R. (2014). “Reliability analysis of shock-based deterioration using phase-type distributions.” Probab. Eng. Mech., 38, 88–101.
Ritchken, P., and Wilson, J. G. (1990). “(m, T) group maintenance policies.” Manage. Sci., 36(5), 632–639.
Rokneddin, K., Ghosh, J., Dueñas-Osorio, L., and Padgett, J. E. (2013a). “Bridge retrofit prioritization for ageing transportation networks subject to seismic hazards.” Struct. Infrastruct. Eng., 9(10); 1050–1066.
Rokneddin, K., Ghosh, J., Padgett, J. E., and Dueñas-Osorio, L. (2013b). “Seismic reliability assessment of aging highway bridge networks with field instrumentation data and correlated failures. II: Application.” Earthquake Spectra, 30(2), 819–843.
Rosenblueth, E. (1976). “Optimum design for infrequent disturbances.” J. Struct. Div., 102(ST9), 1807–1825.
Rosenblueth, E., and Mendoza, E. (1971). “Reliability optimization in isostatic structures.” J. Eng. Mech. Div., 97(6), 1625–1642.
Ross, S. (1996). Stochastic processes, 2nd Ed., Wiley, New York.
Ross, S. M. (1970). Applied probability models with optimization applications, Dover, New York.
Sanchez-Silva, M., and Klutke, G.-A. (2016). Reliability and life-cycle analysis of deteriorating systems, Springer, New York.
Sanchez-Silva, M., Klutke, G.-A., and Rosowsky, D. (2011). “Life-cycle performance of structures subject to multiple deterioration mechanisms.” Struct. Saf., 33(3), 206–217.
Sanchez-Silva, M., Klutke, G.-A., and Rosowsky, D. (2012). “Optimization of the design of infrastructure components subject to progressive deterioration and extreme loads.” Struct. Infrastruct. Eng., 8(7), 655–667.
Sánchez-Silva, M., Rosowsky, D., and Guikema, S. (2009). “Optimization model for design and operation of transportation networks in seismic regions.” J. Infrastruct. Syst., 70–79.
Santander, C. F., Sánchez-Silva, M. (2008). “Design and maintenance-program optimization for large infrastructure systems.” Int. J. Struct. Infrastruct. Syst., 4(4), 297–309.
Saydam, D., and Frangopol, D. M. (2011). “Time-dependent performance indicators of damaged bridge superstructures.” Eng. Struct., 33(9), 2458–2471.
Saydam, D., Frangopol, D. M., and Dong, Y. (2013). “Assessment of risk using bridge element condition ratings.” J. Infrastruct. Syst., 252–265.
Scarf, P. (1997a). “On the applications of mathematical models in maintenance.” Eur. J. Oper. Res., 99(3), 493–506.
Scarf, P. (1997b). “On the modeling of condition based maintenance.” Proc., Int. Conf. Safety and Reliability ESREL’97, Vol. 3, Lisbon, Portugal, 1701–1708.
Sherif, Y. S. (1982). “Reliability analysis: Optimal inspection and maintenance schedules of failing systems.” Micro. Reliab., 22(1), 59–115.
Sherif, Y. S., and Smith, M. L. (1981). “Optimal maintenance models for systems subject to failure—A review.” Nay. Res. Logist. Q., 28(1), 47–74.
Sheu, S. H., and Griffith, W. S. (2001). “Optimal age-replacement policy with age dependent minimal-repair and random-leadtime.” IEEE Trans. Reliab., 50(3), 302–309.
Shi, P., and Mahadevan, S. (2001). “Damage tolerance approach for probabilistic pitting corrosion life prediction.” Eng. Fract. Mech., 68(13), 1493–1507.
Soliman, M., and Frangopol, D. M. (2014). “Life-cycle management of fatigue sensitive structures integrating inspection information.” J. Infrastruct. Syst., 04014001.
Song, J., and Kang, W.-H. (2009). “System reliability and sensitivity under statistical dependence by matrix-based system reliability method.” Struct. Saf., 31(2), 148–156.
Straub, D. (2011). “Reliability updating with equality information.” Probab. Eng. Mech., 26(2), 254–258.
Straub, D. (2014). “Value of information analysis with structural reliability methods.” Struct. Saf., 49, 75–85.
Strauss, A., Bergmeister, K., Hoffmann, S., Pukl, R., and Novák, D. (2008a). “Advanced life-cycle analysis of existing concrete bridges.” J. Mater. Civ. Eng., 9–19.
Streicher, H., Joanni, A., and Rackwitz, R. (2008). “Cost-benefit optimization and risk acceptability for existing, aging but maintained structures.” Struct. Saf., 30(5), 375–393.
Thomas, L. C. (1986). “A survey of maintenance and replacement models of multi-item systems.” Reliab. Eng., 16(4), 297–309.
Thompson, P. D., Small, E. P., Johnson, M., and Marshall, A. R. (1998). “The pontis bridge management system.” Struct. Eng. Int., 8(4), 303–308.
Thompson, P. D., Small, E. P., Johnson, M., and Marshall, A. R. (1998). “The pontis bridge management system.” Struct. Eng. Int., 4, 303–308.
Tijms, H. C., and van der Duyn Schouten, F. A. (1984). “A Markov decision algorithm for optimal inspections and revisions in a maintenance system with partial information.” Eur. J. Oper. Res., 21(2), 245–253.
Tilly, G. P. (1997). “Principles of whole life costing.” Safety of bridges, P. C. Das, ed., Thomas Telford, London, 138–144.
Tran, D., Perera, B., and Ng, A. (2010). “Hydraulic deterioration models for storm-water drainage pipes: Ordered probit versus probabilistic neural network.” J. Comput. Civ. Eng., 140–150.
U.S. Environmental Protection Agency (USEPA). (2006). “Life cycle assessment: Principles and practice.”, Cincinnati.
Val, D., and Stewart, M. (2005). “Decision analysis for deteriorating structures.” Rel. Eng. Syst. Saf., 87(3), 377–385.
Valdez Flores, C., and Feldman, R. M. (1989). “A survey of preventive maintenance models for stochastically deteriorating single unit systems.” Nay. Res. Logist. Q., 36(4), 419–446.
van Noortwijk, J. M. (2009). “A survey of the application of gamma processes in maintenance.” Rel. Eng. Syst. Saf., 94(1), 2–21.
van Noortwijk, J. M., and Frangopol, D. M. (2004). “Two probabilistic lifecycle maintenance models for deteriorating civil infrastructures.” Probab. Eng. Mech., 19(4), 345–359.
Vaurio, J. K. (1997). “On time-dependent availability and maintenance optimization of standby units under various maintenance policies.” Reliab. Eng. Syst. Saf., 56(1), 79–89.
Wang, H. (2002). “A survey of maintenance policies of deteriorating systems.” Eur. J. Oper. Res., 139(3), 469–489.
Wang, H., Pham, H., and Izundu, A. E. (2001). “Optimal preparedness maintenance of multi-unit systems with imperfect maintenance and economic dependence.” Recent advances in reliability and quality engineering, H. Pham, ed., World Scientific, NJ, 75–92.
Wang, K. C. P., and Zaniewski, J. P. (1996). “20/30 hindsight: The new pavement optimization in the Arizona state highway network.” Interfaces, 26(3), 77–89.
Wijnmalen, D. J. D., and Hontelez, J. A. M. (1992). “Review of a Markov decision algorithm for optimal inspections and revisions in a maintenance system with partial information.” Eur. J. Oper. Res., 62(1), 96–104.
Wilson, J. G., and Benmerzouga, A. (1990). “Optimal m-failure policies with random repair time.” Oper. Res. Lett., 9(3), 203–209.
Wortman, M. A., Klutke, G.-A., and Ayhan, H. (1994). “A maintenance strategy for systems subjected to deterioration governed by random shocks.” IEEE Trans. Reliab., 43(3), 439–445.
Yang, S-I., Frangopol, D. M., Kawakami, Y., and Neves, L. C. (2006a). “The use of lifetime functions in the optimization of interventions on existing bridges considering maintenance and failure costs.” Eng. Reliab. Syst. Saf., 91(6), 698–705.
Yang, S.-I., Frangopol, D. M., and Neves, L. C. (2006b). “Optimum maintenance strategy for deteriorating structures using lifetime functions.” Eng. Struct., 28(2), 196–206.
Zhang, R., and Mahadevan, S. (2001). “Reliability-based reassessment of corrosion fatigue life.” Struct. Saf., 23(1), 77–91.
Zheng, X., and Fard, N. (1991). “A maintenance policy for repairable systems based on opportunistic failure rate tolerance.” IEEE Trans. Reliab., 40(2), 237–244.
Zhu, B., and Frangopol, D. M. (2012). “Reliability, redundancy and risk as performance indicators of structural systems during their life-cycle.” Eng. Struct., 41, 34–49.
Zhu, B., and Frangopol, D. M. (2013). “Risk-based approach for optimum maintenance of bridges under traffic and earthquake loads.” J. Struct. Eng., 422–434.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 142Issue 9September 2016

History

Received: May 21, 2014
Accepted: Feb 16, 2016
Published online: Jun 2, 2016
Published in print: Sep 1, 2016
Discussion open until: Nov 2, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Mauricio Sánchez-Silva, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Universidad de Los Andes, Carrera 1 Este 19A-40, Bogotá 117111, Colombia (corresponding author). E-mail: [email protected]
Dan M. Frangopol, Dist.M.ASCE [email protected]
Professor and the Fazlur R. Khan Endowed Chair of Structural Engineering and Architecture, Dept. of Civil and Environmental Engineering, Center for Advanced Technology for Large Structural Systems (ATLSS Research Center), Lehigh Univ., 117 ATLSS Dr., Bethlehem, PA 18015-4729. E-mail: [email protected]
Jamie Padgett, M.ASCE [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Rice Univ., 6100 Main St. MS 318, 214 Ryon Laboratory, Houston, TX 77005. E-mail: [email protected]
Mohamed Soliman, A.M.ASCE [email protected]
Assistant Professor, School of Civil and Environmental Engineering, College of Engineering, Architecture and Technology, Oklahoma State Univ., 207 Engineering South, Stillwater, OK 74078-5033. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share