A. H. Ang and W. H. Tang, Probability concepts in engineering planning and design, 1984.

A. H. Ang and W. H. Tang, Probability concepts in engineering: emphasis on applications in civil and environmental engineering, 2007.

Y. Aoues, C. , and A. , Benchmark study of numerical methods for reliabilitybased design optimization, vol.41, pp.277-294, 2010.
DOI : 10.1007/s00158-009-0412-2

Y. Aoues, C. , and A. , Reliability-based optimization of structural systems by adaptive target safety-Application to RC frames, Struct.Saf, vol.30, issue.2, pp.144-161, 2008.
DOI : 10.1016/j.strusafe.2006.10.002

R. Barlow and L. Hunter, Optimum preventive maintenance policies, Oper.Res, vol.8, issue.1, pp.90-100, 1960.
DOI : 10.1287/opre.8.1.90

G. Barone and D. M. Frangopol, Life-cycle maintenance of deteriorating structures by multi-objective optimization involving reliability, risk, availability, hazard and cost, Struct.Saf, vol.48, pp.40-50, 2014.
DOI : 10.1016/j.strusafe.2014.02.002

URL : https://dspace.lboro.ac.uk/dspace-jspui/bitstream/2134/16762/1/2014%20-%20Barone%20Frangopol%20-%20SS.pdf

E. Bastidas-arteaga, P. Bressolette, A. Chateauneuf, and M. Silva, Probabilistic lifetime assessment of RC structures under coupled corrosion-fatigue deterioration processes, Struct.Saf, vol.31, issue.1, pp.84-96, 2009.
DOI : 10.1016/j.strusafe.2008.04.001

URL : https://hal.archives-ouvertes.fr/hal-00796353

E. Bastidas-arteaga, A. Chateauneuf, M. Sánchez-silva, P. Bressolette, and F. Schoefs, A comprehensive probabilistic model of chloride ingress in unsaturated concrete, Eng.Struct, vol.33, issue.3, pp.720-730, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00798070

E. Bastidas-arteaga, M. Sánchez-silva, A. Chateauneuf, and M. R. Silva, Coupled reliability model of biodeterioration, chloride ingress and cracking for reinforced concrete structures, Struct.Saf, vol.30, issue.2, pp.110-129, 2008.
DOI : 10.1016/j.strusafe.2006.09.001

URL : https://hal.archives-ouvertes.fr/hal-00796352

A. T. Beck, W. J. Gomes, R. H. Lopez, M. , and L. F. , A comparison between robust and risk-based optimization under uncertainty, Structural and Multidisciplinary Optimization, pp.1-14, 2015.
DOI : 10.1007/s00158-015-1253-9

A. T. Beck, . De-santana, W. Gomes, and . José, A comparison of deterministic, reliability-based and risk-based structural optimization under uncertainty, Prob.Eng.Mech, vol.28, pp.18-29, 2012.
DOI : 10.1016/j.probengmech.2011.08.007

C. F. Berthelot, G. A. Sparks, T. Blomme, L. Kajner, and M. Nickeson, Mechanisticprobabilistic vehicle operating cost model, J.Transp.Eng, vol.122, issue.5, pp.337-341, 1996.
DOI : 10.1061/(asce)0733-947x(1996)122:5(337)

K. Bezih, A. Chateauneuf, M. Kalla, and C. Bacconnet, Effect of soil-structure interaction on the reliability of reinforced concrete bridges, Ain Shams Engineering Journal, vol.6, issue.3, pp.755-766, 2015.

F. Biondini, F. Bontempi, D. M. Frangopol, and P. G. Malerba, Probabilistic service life assessment and maintenance planning of concrete structures, J.Struct.Eng, vol.132, issue.5, pp.810-825, 2006.
DOI : 10.1061/(asce)0733-9445(2006)132:5(810)

F. Biondini, E. Camnasio, and A. Palermo, Lifetime seismic performance of concrete bridges exposed to corrosion, Structure and Infrastructure Engineering, vol.10, issue.7, pp.880-900, 2014.
DOI : 10.1080/15732479.2012.761248

F. Biondini and D. M. Frangopol, Probabilistic limit analysis and lifetime prediction of concrete structures, Structure and Infrastructure Engineering, vol.4, issue.5, pp.399-412, 2008.
DOI : 10.1080/15732470701270157

J. R. Casas and J. L. Chambi, Partial safety factors for CFRP-wrapped bridge piers: Model assessment and calibration, Composite Structures, vol.118, pp.267-283, 2014.
DOI : 10.1016/j.compstruct.2014.07.032

D. Chen and S. Mahadevan, Chloride-induced reinforcement corrosion and concrete cracking simulation, vol.30, pp.227-238, 2008.
DOI : 10.1016/j.cemconcomp.2006.10.007

D. Coronelli and P. Gambarova, Structural assessment of corroded reinforced concrete beams: modeling guidelines, J.Struct.Eng, vol.130, issue.8, pp.1214-1224, 2004.
DOI : 10.1061/(asce)0733-9445(2004)130:8(1214)

P. C. Das, Reliability based bridge management procedures.Bridge management 4Inspection, maintenance, assessment and repair, TRB London, pp.1-11, 2000.

P. C. Das, New developments in bridge management methodology, Struct.Eng.Int, vol.8, issue.4, pp.299-302, 1998.
DOI : 10.2749/101686698780488956

A. Dasgupta and M. Pecht, Material failure mechanisms and damage models, Reliability, IEEE Transactions, vol.40, pp.531-536, 1991.
DOI : 10.1109/24.106769

R. S. De, A. Karamchandani, C. , and C. A. , Study of redundancy in near-ideal parallel structural systems, Structural safety and reliability, pp.975-982, 1989.

F. Deby, M. Carcassès, and A. Sellier, Probabilistic approach for durability design of reinforced concrete in marine environment, Cem.Concr.Res, vol.39, issue.5, pp.466-471, 2009.

C. Derman and A. F. Veinott, Constrained Markov decision chains, Management Science, vol.19, issue.4, pp.389-390, 1972.
DOI : 10.1287/mnsc.19.4.389

O. Ditlevsen, Narrow reliability bounds for structural systems, Journal of Structural Mechanics, vol.7, issue.4, pp.453-472, 1979.
DOI : 10.1080/03601217908905329

O. Ditlevsen and H. O. Madsen, Structural reliability methods, 1996.

M. Dogaki, H. Furuta, I. Tsukiyama, and D. M. Frangopol, Optimal maintenance planning of reinforced concrete decks on highway network, Conference Proceedings, USJapan Workshop on Life-Cycle Cost Analysis and Design of Civil Infrastructure Systems, 2000.
DOI : 10.1061/40571(304)6

I. Doltsinis, Z. Kang, and G. Cheng, Robust design of non-linear structures using optimization methods, Comput.Methods Appl.Mech.Eng, vol.194, issue.12, pp.1779-1795, 2005.
DOI : 10.1016/j.cma.2004.02.027

M. Doostparast, F. Kolahan, and M. Doostparast, A reliability-based approach to optimize preventive maintenance scheduling for coherent systems, Reliab.Eng.Syst.Saf, vol.126, pp.98-106, 2014.
DOI : 10.1016/j.ress.2014.01.010

D. and N. , New Jersey department of transportation, 2001.

B. Echard, Evaluation Par Krigeage De La Fiabilité Des Structures Sollicitées En Fatigue, 2012.

M. A. Ehlen, Life-cycle costs of fiber-reinforced-polymer bridge decks, J.Mater.Civ.Eng, vol.11, issue.3, pp.224-230, 1999.

J. El-hassan, P. Bressolette, A. Chateauneuf, and K. Tawil, Reliability-based assessment of the effect of climatic conditions on the corrosion of RC structures subject to chloride ingress, Eng.Struct, vol.32, issue.10, pp.3279-3287, 2010.

B. Ellingwood, J. G. Macgregor, T. V. Galambos, C. , and C. A. , Probability based load criteria: load factors and load combinations, Journal of the Structural Division, vol.108, issue.5, pp.978-997, 1982.

, Actions on structures-Part 2: Traffic loads on bridges, Eurocode, vol.1, 2003.

, Design of concrete structures-Part 1-1: General rules and rules for buildings, Eurocode, vol.2, 2005.

F. and U. , Work zone road user costs concepts and applications".Final report, Federal Highway Administration-US departement of transportation, 2011.

M. M. Flint, J. W. Baker, and S. L. Billington, A modular framework for performance-based durability engineering: From exposure to impacts, Struct.Saf, vol.50, pp.78-93, 2014.

D. M. Frangopol, Life-cycle cost analysis for bridges, Bridge safety and reliability, pp.210-236, 1999.

D. M. Frangopol and J. P. Curley, Effects of damage and redundancy on structural reliability, J.Struct.Eng, vol.113, issue.7, pp.1533-1549, 1987.

D. M. Frangopol, J. S. Kong, and E. S. Gharaibeh, Reliability-based life-cycle management of highway bridges, J.Comput.Civ.Eng, vol.15, issue.1, pp.27-34, 2001.

D. M. Frangopol, M. , and K. , Life-cycle reliability-based optimization of civil and aerospace structures, Comput.Struct, vol.81, issue.7, pp.397-410, 2003.

D. M. Frangopol and M. Soliman, Life-cycle of structural systems: recent achievements and future directions, Structure and Infrastructure Engineering, vol.12, issue.1, pp.1-20, 2016.

D. Frangopol, M. Iizuka, Y. , and K. , Redundancy measures for design and evaluation of structural systems, Journal of Offshore Mechanics and Arctic Engineering, vol.114, issue.4, pp.285-290, 1992.

H. Furuta, T. Kameda, K. Nakahara, Y. Takahashi, and D. M. Frangopol, Optimal bridge maintenance planning using improved multi-objective genetic algorithm, Structure and Infrastructure Engineering, vol.2, issue.1, pp.33-41, 2006.

I. Gertsbakh, Reliability theory: with applications to preventive maintenance, 2000.

M. Ghosn and D. M. Frangopol, Bridge reliability: components and systems, Bridge safety and reliability, pp.83-112, 1999.

H. R. Golmakani and H. Moakedi, Periodic inspection optimization model for a twocomponent repairable system with failure interaction, Comput.Ind.Eng, vol.63, issue.3, pp.540-545, 2012.
DOI : 10.1016/j.cie.2011.07.020

W. J. Gomes, A. T. Beck, and T. Haukaas, Optimal inspection planning for onshore pipelines subject to external corrosion, Reliab.Eng.Syst.Saf, vol.118, pp.18-27, 2013.
DOI : 10.1016/j.ress.2013.04.011

A. González, Vehicle-bridge dynamic interaction using finite element modelling, 2010.

E. Gould, C. Parkman, and T. Buckland, RAC Foundation, Adept-Association of Directors of Environment, Economy, Planning and Transport, 2013.

M. Guedri, S. Cogan, and N. Bouhaddi, Robustness of structural reliability analyses to epistemic uncertainties, Mechanical Systems and Signal Processing, vol.28, pp.458-469, 2012.
DOI : 10.1016/j.ymssp.2011.11.024

URL : https://hal.archives-ouvertes.fr/hal-00435072

I. Hansen, Determination and evaluation of traffic congestion costs, European Journal of Transport and Infrastructure Research EJTIR, issue.1, pp.61-72, 2001.

A. M. Hasofer, L. , and N. C. , Exact and invariant second-moment code format, Journal of the Engineering Mechanics Division, vol.100, issue.1, pp.111-121, 1974.

H. Hawk and E. P. Small, The BRIDGIT bridge management system, Struct.Eng.Int, vol.8, issue.4, pp.309-314, 1998.
DOI : 10.2749/101686698780488712

G. Hearn, Condition data and bridge management systems, Struct.Eng.Int, vol.8, issue.3, pp.221-225, 1998.
DOI : 10.2749/101686698780489054

W. M. Hmaidan, National Land transport strategy options for Lebanon. Green Line association. The campaign for sustainable transport report, Ministry of public works and transport, 2002.

Y. Huang and H. Huang, A model for concurrent maintenance of bridge elements, Autom.Constr, vol.21, pp.74-80, 2012.
DOI : 10.1016/j.autcon.2011.05.014

S. Hudson, I. Carmichael, R. Moser, L. Hudson, W. Wilkes et al., Bridge management systems, NCHRP Report, issue.300, pp.12-28, 1987.

, Distribution of Labor force by economic activity, Guardianship Authority. Presidency of the Council of Minister In Accordance With Investment Law No.360, 2015.

, International Classification of jobs and professions 3rd ed. known as ISCO-88ILO (International Labor Organization), ILO, 1996.

H. Islam, M. Jollands, S. Setunge, N. Haque, and M. A. Bhuiyan, Life cycle assessment and life cycle cost implications for roofing and floor designs in residential buildings, Energy Build, vol.104, pp.250-263, 2015.

N. Kagho-gouadjio, A. Orcesi, C. Cremona, and C. Marcotte, Quantification of structural robustness: application to the study of a prestressed concrete beam, Mechanics & Industry, vol.16, issue.1, p.104, 2015.

Y. Kang, W. , and Y. , Minimum Life-Cycle Cost Design Criteria Under Multiple Loads, Session Tc311, Paper PMC2000-146 at the 8th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, 2000.

Z. Kang, Robust design optimization of structures under uncertainties, PhD.-Institute of Statics and Dynamics of Aerospace Structures, 2005.

O. Kari, 8.14 Modelling the durability of concrete for nuclear waste disposal facilities, 2006.
URL : https://hal.archives-ouvertes.fr/hal-01442447

I. Kaysi and F. Salvucci, Passenger transportation options for a revitalized Beirut, A Report on Year 1 Activities, 1993.

A. Kendall, G. A. Keoleian, and G. E. Helfand, Integrated life-cycle assessment and life-cycle cost analysis model for concrete bridge deck applications, J Infrastruct Syst, vol.14, issue.3, pp.214-222, 2008.

V. Khodakarami, A. , and A. , Project cost risk analysis: A Bayesian networks approach for modeling dependencies between cost items, Int.J.Project Manage, vol.32, issue.7, pp.1233-1245, 2014.

J. S. Kong and D. M. Frangopol, Life-cycle reliability-based maintenance cost optimization of deteriorating structures with emphasis on bridges, J.Struct.Eng, vol.129, issue.6, pp.818-828, 2003.

R. Laggoune, A. Chateauneuf, A. , and D. , Opportunistic policy for optimal preventive maintenance of a multi-component system in continuous operating units, Comput.Chem.Eng, vol.33, issue.9, pp.1499-1510, 2009.

M. Lai, C. , and Y. , Optimal replacement period of a two-unit system with failure rate interaction and external shocks, Int.J.Syst.Sci, vol.39, issue.1, pp.71-79, 2008.

J. Lauridsen, J. Bjerrum, N. H. Andersen, and B. Lassen, Creating a bridge management system, Struct.Eng.Int, vol.8, issue.3, pp.216-220, 1998.

I. Lee, K. Choi, L. Du, G. , and D. , Dimension reduction method for reliabilitybased robust design optimization, Comput.Struct, vol.86, issue.13, pp.1550-1562, 2008.

K. Lee, H. Cho, and Y. Choi, Life-cycle cost-effective optimum design of steel bridges, Journal of Constructional Steel Research, vol.60, issue.11, pp.1585-1613, 2004.

K. Lee, P. , and G. , Robust optimization considering tolerances of design variables, Comput.Struct, vol.79, issue.1, pp.77-86, 2001.

E. A. Liberati, C. G. Nogueira, E. D. Leonel, C. , and A. , Nonlinear formulation based on FEM, Mazars damage criterion and Fick's law applied to failure assessment of reinforced concrete structures subjected to chloride ingress and reinforcements corrosion, Eng.Failure Anal, vol.46, pp.247-268, 2014.

M. Liu and D. M. Frangopol, Optimizing bridge network maintenance management under uncertainty with conflicting criteria: Life-cycle maintenance, failure, and user costs, J.Struct.Eng, vol.132, issue.11, pp.1835-1845, 2006.

H. Madsen and L. S. Krenk, Methods of Structural Safety, 1986.

W. Q. Meeker, L. A. Escobar, and C. J. Lu, Accelerated degradation tests: modeling and analysis, Technometrics, vol.40, issue.2, pp.89-99, 1998.

C. C. Mitropoulou, N. D. Lagaros, P. , and M. , Life-cycle cost assessment of optimally designed reinforced concrete buildings under seismic actions, Reliab.Eng.Syst.Saf, vol.96, issue.10, pp.1311-1331, 2011.

Y. Mori and B. R. Ellingwood, Reliability-based service-life assessment of aging concrete structures, J.Struct.Eng, vol.119, issue.5, pp.1600-1621, 1993.

F. Moses, Bridge evaluation, bridge safety and reliability, p.136, 1999.

F. Moses, G. , and M. , A comprehensive study of bridge loads and reliability, 1985.

D. Murthy and D. Nguyen, Study of a multi-component system with failure interaction, Eur.J.Oper.Res, vol.21, issue.3, pp.330-338, 1985.

R. P. Nicolai and R. Dekker, Optimal maintenance of multi-component systems: a review, 2008.

J. S. Nielsen and J. D. Sørensen, Risk-based decision making for deterioration processes using POMDP, Proceedings of 12th International Conference on Applications of Statistics and Probability in Civil Engineering, 2015.

A. S. Nowak, Calibration of LRFD bridge code, J.Struct.Eng, vol.121, issue.8, pp.1245-1251, 1995.
DOI : 10.1061/(asce)0733-9445(1995)121:8(1245)

A. S. Nowak, Probabilistic basis for bridge design codes, Structural Safety and Reliability, pp.2019-2026, 1989.

A. D. Orcesi, Gestion des ouvrages d'art sur leur cycle de vie, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01485056

A. D. Orcesi and C. F. Cremona, A bridge network maintenance framework for Pareto optimization of stakeholders/users costs, Reliab.Eng.Syst.Saf, vol.95, issue.11, pp.1230-1243, 2010.
DOI : 10.1016/j.ress.2010.06.013

URL : https://hal.archives-ouvertes.fr/hal-00903882

A. D. Orcesi and D. M. Frangopol, Optimization of bridge maintenance strategies based on structural health monitoring information, Struct.Saf, vol.33, issue.1, pp.26-41, 2011.
DOI : 10.1016/j.strusafe.2010.05.002

URL : https://hal.archives-ouvertes.fr/hal-00613628

A. D. Orcesi, D. M. Frangopol, K. , and S. , Optimization of bridge maintenance strategies based on multiple limit states and monitoring, Eng.Struct, vol.32, issue.3, pp.627-640, 2010.
DOI : 10.1016/j.engstruct.2009.11.009

URL : https://hal.archives-ouvertes.fr/hal-00613623

J. Parks, On stochastic optimization: Taguchi Methods? demystified; its limitations and fallacy clarified, Prob.Eng.Mech, vol.16, issue.1, pp.87-101, 2001.
DOI : 10.1016/s0266-8920(00)00011-4

M. Pendola, Fiabilité Des Structures En Contexte D'Incertitudes Statistiques Et D'Écarts De Modélisation, 2000.

M. Pendola, A. Mohamed, M. Lemaire, and P. Hornet, Combination of finite element and reliability methods in nonlinear fracture mechanics, Reliab.Eng.Syst.Saf, vol.70, issue.1, pp.15-27, 2000.

R. Rackwitz, A. Lentz, and M. Faber, Socio-economically sustainable civil engineering infrastructures by optimization, Struct.Saf, vol.27, issue.3, pp.187-229, 2005.
DOI : 10.1016/j.strusafe.2004.10.002

R. Radner and D. W. Jorgenson, Optimal replacement and inspection of stochastically failing equipment, 1962.

V. Rathod, O. P. Yadav, A. Rathore, J. , and R. , Optimizing reliability-based robust design model using multi-objective genetic algorithm, Comput.Ind.Eng, vol.66, issue.2, pp.301-310, 2013.
DOI : 10.1016/j.cie.2013.06.018

S. Rizzuti, L. De-napoli, F. Giampà, and F. Lofranco, Axiomatic design as a means to find contradiction in an integrated approach for product design, Fifth International Conference on Axiomatic Design, ICAD, pp.25-27, 2009.

M. Rocha and E. Brühwiler, Prediction of fatigue life of reinforced concrete bridges using Fracture Mechanics, pp.3755-3761, 2012.

L. Saad, A. Aissani, A. Chateauneuf, R. , and W. , Reliability-based optimization of direct and indirect LCC of RC bridge elements under coupled fatigue-corrosion deterioration processes, Eng.Failure Anal, vol.58, pp.570-587, 2016.
DOI : 10.1016/j.engfailanal.2015.11.006

L. Saad, A. Aissani, A. Chateauneuf, R. , and W. , Life-cycle cost optimization of reinforced concrete structures under coupled fatigue-corrosion deterioration, Icossar Conference, 2013.
DOI : 10.1201/b16387-686

S. Sabatino, D. M. Frangopol, D. , and Y. , Life cycle utility-informed maintenance planning based on lifetime functions: optimum balancing of cost, failure consequences and performance benefit, Structure and Infrastructure Engineering, pp.1-18, 2015.
DOI : 10.1080/15732479.2015.1064968

S. Sabatino, D. M. Frangopol, D. , and Y. , Sustainability-informed maintenance optimization of highway bridges considering multi-attribute utility and risk attitude, Eng.Struct, vol.102, pp.310-321, 2015.
DOI : 10.1016/j.engstruct.2015.07.030

S. Sadasivam and J. Mallela, Application of work zone road user costs in determining schedule related incentives and disincentives-A conceptual 2 Framework 3, Transportation Research Board 94th Annual Meeting, pp.15-6037, 2015.

Y. Sahraoui, R. Khelif, C. , and A. , Maintenance planning under imperfect inspections of corroded pipelines, Int.J.Pressure Vessels Piping, vol.104, pp.76-82, 2013.

E. Sandgren, C. , and T. , Robust design optimization of structures through consideration of variation, Comput.Struct, vol.80, issue.20, pp.1605-1613, 2002.

M. W. Sasieni, A Markov chain process in industrial replacement, OR, vol.7, issue.4, pp.148-155, 1956.

D. Saydam and D. M. Frangopol, Time-dependent performance indicators of damaged bridge superstructures, Eng.Struct, vol.33, issue.9, pp.2458-2471, 2011.

D. Schrank and T. Lomax, The 2003 annual urban mobility report, 2003.

A. F. Shahraki and R. Noorossana, Reliability-based robust design optimization: A general methodology using genetic algorithm, Comput.Ind.Eng, vol.74, pp.199-207, 2014.

D. Singh and R. L. Tiong, Development of life cycle costing framework for highway bridges in Myanmar, Int.J.Project Manage, vol.23, issue.1, pp.37-44, 2005.

M. Söderqvist and M. Veijola, The Finnish bridge management system, Struct.Eng.Int, vol.8, issue.4, pp.315-319, 1998.

M. Soliman, Life-Cycle Management of Civil and Marine Structures under Fatigue and Corrosion Effects, 2015.

S. M. Spence, M. Gioffrè, K. , and A. , An efficient framework for the reliabilitybased design optimization of large-scale uncertain and stochastic linear systems, Prob.Eng.Mech, 2015.

M. G. Stewart, Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure, Struct.Saf, vol.26, issue.4, pp.453-470, 2004.

M. G. Stewart, A. , and A. , Pitting corrosion and structural reliability of corroding RC structures: Experimental data and probabilistic analysis, Reliab.Eng.Syst.Saf, vol.93, issue.3, pp.373-382, 2008.

S. Sundaresan, K. Ishii, and D. R. Houser, A robust optimization procedure with variations on design variables and constraints, Engineering Optimization, vol.35, issue.2, pp.101-117, 1995.

G. Taguchi and A. J. Rafanelli, Taguchi on Robust Technology Development: Bringing Quality Engineering Upstream, 1994.

H. Tamaki, T. Mukai, K. Kawakami, A. , and M. , Genetic algorithm approach to multi-objective scheduling problem in plastics forming plant, Advances in Production Management Systems, pp.435-444, 1998.

H. M. Taylor, Optimal replacement under additive damage and other failure models, Naval Research Logistics Quarterly, vol.22, issue.1, pp.1-18, 1975.
DOI : 10.1002/nav.3800220102

P. Thoft-christensen, Assessment of the reliability profiles for concrete bridges, Eng.Struct, vol.20, issue.11, pp.1004-1009, 1998.

L. Thomas, A survey of maintenance and replacement models for maintainability and reliability of multi-item systems, Reliability Engineering, vol.16, issue.4, pp.297-309, 1986.

P. Thompson, S. , and R. , Pontis, Transportation Research Circular, issue.423, 1994.

S. Tighe, T. Lee, R. Mckim, and R. Haas, Traffic delay cost savings associated with trenchless technology, J Infrastruct Syst, vol.5, issue.2, pp.45-51, 1999.
DOI : 10.1061/(asce)1076-0342(1999)5:2(45)

R. Tovo, On the fatigue reliability evaluation of structural components under service loading, Int.J.Fatigue, vol.23, issue.7, pp.587-598, 2001.

. Tsompanakis, N. D. Yannis, M. Lagaros, and . Papadrakakis, Structural Design Optimization Considering Uncertainties: Structures & Infrastructures Book, vol.1, 2008.

D. V. Val and R. E. Melchers, Reliability of deteriorating RC slab bridges, J.Struct.Eng, vol.123, issue.12, pp.1638-1644, 1997.

D. V. Val and M. G. Stewart, Life-cycle cost analysis of reinforced concrete structures in marine environments, Struct.Saf, vol.25, issue.4, pp.343-362, 2003.

D. V. Val, M. G. Stewart, and R. E. Melchers, Effect of reinforcement corrosion on reliability of highway bridges, Eng.Struct, vol.20, issue.11, pp.1010-1019, 1998.

G. Van-belle, Statistical rules of thumb, 2011.

A. Van-horenbeek, P. , and L. , A dynamic predictive maintenance policy for complex multi-component systems, Reliab.Eng.Syst.Saf, vol.120, pp.39-50, 2013.

J. M. Van-noortwijk and D. M. Frangopol, Two probabilistic life-cycle maintenance models for deteriorating civil infrastructures, Prob.Eng.Mech, vol.19, issue.4, pp.345-359, 2004.

T. Vidal, A. Castel, F. , and R. , Analyzing crack width to predict corrosion in reinforced concrete, Cem.Concr.Res, vol.34, issue.1, pp.165-174, 2004.

H. C. Vu, P. Do, A. Barros, and C. Bérenguer, Maintenance grouping strategy for multi-component systems with dynamic contexts, Reliab.Eng.Syst.Saf, vol.132, pp.233-249, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01059466

K. A. Vu and M. G. Stewart, Structural reliability of concrete bridges including improved chloride-induced corrosion models, Struct.Saf, vol.22, issue.4, pp.313-333, 2000.

K. Vu, M. G. Stewart, M. , and J. , Corrosion-induced cracking: experimental data and predictive models, ACI Struct.J, vol.102, issue.5, p.719, 2005.

R. Wang, L. Ma, C. Yan, M. , and J. , Condition deterioration prediction of bridge elements using Dynamic Bayesian Networks (DBNs), Quality, Reliability, Risk, Maintenance, and Safety Engineering (ICQR2MSE), 2012 International Conference on, pp.566-571, 2012.

D. G. Woodward, Life cycle costing-theory, information acquisition and application, Int.J.Project Manage, vol.15, issue.6, pp.335-344, 1997.
DOI : 10.1016/s0263-7863(96)00089-0

S. Yang, D. M. Frangopol, and L. C. Neves, Service life prediction of structural systems using lifetime functions with emphasis on bridges, Reliab.Eng.Syst.Saf, vol.86, issue.1, pp.39-51, 2004.

B. D. Youn, K. K. Choi, Y. , and K. , Performance moment integration (PMI) method for quality assessment in reliability-based robust design optimization, vol.33, pp.185-213, 2005.

W. Yu and S. Lo, Time-dependent construction social costs model, Constr.Manage.Econ, vol.23, issue.3, pp.327-337, 2005.
DOI : 10.1080/01446190500040281