Abstract
To address the balance problem between indexes within the performance evaluation of bridge systems, this paper develops an age- and condition-based variable weight model (ACVWM). First, the limitations of existing models used for the multi-layer weighted sum method, i.e., constant weight model (CWM) and condition-based variable weight model (CVWM), are presented through case studies, indicating that the weight variation is insufficient to characterize the deterioration law of components. Then, the definition of age-based variable weight is established following the existing concept of condition-based variable weight, which makes weights vary with service ages. Considering the characteristics of bridge assessment, an age-based variable weight model is built up to depict the time-variant trends of index weights with the service age. The variation law of age-based variable weight is discussed by using indexes in the superstructure of suspension bridges. As a result, the weights of replaceable and permanent components behave differently within the bridge service life. Finally, the ACVWM is built up and its effectiveness is verified through the same case studies applied to the CWM and CVWM. Compared with the evaluation results from the CWM and CVWM, the evaluation result of the ACVWM is more in line with the real maintenance strategy. Considering the CVWM in which low initial weights may lead to unsatisfactory weight assignment, the advantage of the proposed ACVWM lies in its capability to adjust initial weights over the service age.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bolar A, Tesfamariam S, Sadiq R (2013) Condition assessment for bridges: A hierarchical evidential reasoning (HER) framework. Structure and Infrastructure Engineering 9(7):648–666, DOI: https://doi.org/10.1080/15732479.2011.602979
Caglayan BO, Ozakgul K, Tezer O (2012) Assessment of a concrete arch bridge using static and dynamic load tests. Structural Engineering and Mechanics 41(1):83–94, DOI: https://doi.org/10.12989/sem.2012.41.1.083
Chen AR, Wang DL, Ma RJ, Pan ZC (2020) Standardization of life-cycle performance evaluation and application to suspension bridge with multiple pylons. Structure and Infrastructure Engineering 16(4):567–582, DOI: https://doi.org/10.1080/15732479.2019.1662065
Chen ZX, Zhang HL, Han DS (2015) Research on comprehensive performance assessment for WSN based on ANP with equilibrium variable weight and cloud gravity center. China Communications 12(2):1–9
Faber MH, Val DV, Stewart MG (2000) Proof load testing for bridge assessment and upgrading. Engineering Structures 22(12):1677–1689, DOI: https://doi.org/10.1016/s0141-0296(99)00111-x
Frangopol DM, Strauss A, Kim S (2008) Bridge reliability assessment based on monitoring. Journal of Bridge Engineering 13(3):258–270, DOI: https://doi.org/10.1061/(asce)1084-0702(2008)13:3(258)
Gattulli V, Chiaramonte L (2005) Condition assessment by visual inspection for a bridge management system. Computer-Aided Civil and Infrastructure Engineering 20(2):95–107, DOI: https://doi.org/10.1111/j.1467-8667.2005.00379.x
Lan H, Shi J (2001) Degree if grey incidence and variable weight synthesizing applied in bridge assessment. Journal of Tongji University 29(1):50–54, DOI: https://doi.org/10.3321/j.issn:0253-374X.2001.01.011 (in Chinese)
Li B, Yang GS, Wan RR, Zhang L, Zhang YH, Dai X (2017) Using fuzzy theory and variable weights for water quality evaluation in Poyang Lake, China. Chinese Geographical Science 27(1):39–51, DOI: https://doi.org/10.1007/s11769-017-0845-2
Li Q, Xu Y, Zheng Y, Guo A, Wong K, Xia Y (2011) SHM-based F-AHP bridge rating system with application to Tsing Ma Bridge. Frontiers of Architecture and Civil Engineering in China 5(4):465–478, DOI: https://doi.org/10.1007/s11709-011-0135-5
Liang MT, Wu JH, Liang CH (2001) Multiple layer fuzzy evaluation for existing reinforced concrete bridges. Journal of Infrastructure Systems 7(4):144–159, DOI: https://doi.org/10.1061/(ASCE)1076-0342(2001)7:4(144)
Liu W (1997) Balanced function and its application for variable weight synthesizing. Systems Engineering — Theory and Practice 4:58–64
Liu M, Frangopol DM, Ki S (2009) Bridge system performance assessment from structural health monitoring: A case study. Journal of Structural Engineering 135(6):733–742, DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000014
Liu B, Wu S, Xie M, Kuo W (2017) A condition-based maintenance policy for degrading systems with age-and state-dependent operating cost. European Journal of Operational Research 263(3):879–887, DOI: https://doi.org/10.1016/j.ejor.2017.05.006
Liu B, Zhao X, Liu G, Liu Y (2020) Life cycle cost analysis considering multiple dependent degradation processes and environmental influence. Reliability Engineering & System Safety 197:106784, DOI: https://doi.org/10.1016/j.ress.2019.106784
MOT (2009) Technical specifications of maintenance for highway (JTG H10–2009). China Communication Press, Beijing, China
MOT (2011) Satndards for technical condition evaluation of highway bridges (JTG/T H21–2011). China Communication Press, Beijing, China
MOT (2015a) General specifications for design of highway bridges and culverts (JTG D60). China Communications Press, Beijing, China
MOT (2015b) Specifications for design of highway suspension bridge (JTG/T D65-05). China Communication Press, Beijing, China
Rashidi M, Ghodrat M, Samali B, Kendall B, Zhang CW (2017) Remedial modelling of steel bridges through application of analytical hierarchy process (AHP). Applied Sciences-Basel 7(2):168, DOI: https://doi.org/10.3390/app7020168
Rashidi M, Samali B, Sharafi P (2016a) A new model for bridge management: Part A: Condition assessment and priority ranking of bridges. Australian Journal of Civil Engineering 14(1):35–45, DOI: https://doi.org/10.1080/14488353.2015.1092641
Rashidi M, Samali B, Sharafi P (2016b) A new model for bridge management: Part B: Decision support system for remediation planning. Australian Journal of Civil Engineering 14(1):46–53, DOI: https://doi.org/10.1080/14488353.2015.1092642
Sasmal S, Ramanjaneyulu K (2008) Condition evaluation of existing reinforced concrete bridges using fuzzy based analytic hierarchy approach. Expert Systems with Applications 35(3):1430–1443, DOI: https://doi.org/10.1016/j.eswa.2007.08.017
Wu Q, Li B, Chen Y (2016) Vulnerability assessment of groundwater inrush from underlying aquifers based on variable weight model and its application. Water Resources Management 30(10):3331–3345, DOI: https://doi.org/10.1007/s11269-016-1352-4
Xia HW, Ni YQ, Wong KY, Ko JM (2012) Reliability-based condition assessment of in-service bridges using mixture distribution models. Computers and Structures 106:204–213, DOI: https://doi.org/10.1016/j.compstruc.2012.05.003
Xu X, Huang Q, Ren Y, Sun HB (2018) Condition assessment of suspension bridges using local variable weight and normal cloud model. KSCE Journal of Civil Engineering 22(10):4064–4072, DOI: https://doi.org/10.1007/s12205-018-1819-3
Xu X, Huang Q, Ren Y, Zhao DY, Zhang DY, Sun HB (2019) Condition evaluation of suspension bridges for maintenance, repair and rehabilitation: A comprehensive framework. Structure and Infrastructure Engineering 15(4):555–567, DOI: https://doi.org/10.1080/15732479.2018.1562479
Yang YM, Peng JX, Cai CS, Zhang JR (2019) Improved interval evidence theory-based fuzzy AHP approach for comprehensive condition assessment of long-span PSC continuous box-girder bridges. Journal of Bridge Engineering 24(12):04019113, DOI: https://doi.org/10.1061/(asce)be.1943-5592.0001494
Yao R, Ma G (2012) Tendering evaluation method of hydraulic projects based on variable weight. Procedia Engineering 31:868–873, DOI: https://doi.org/10.1016/j.proeng.2012.01.1114
Acknowledgments
The research reported in this paper was supported in part by the Fundamental Research Funds for the Central Universities under Grant No. 2242020k30050, the Natural Science Foundation of Jiangsu Province under Grant No. BK20181278, and Transportation Science Research Project in Jiangsu under Grant No. 2019Z02.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ren, Y., Xu, X., Liu, B. et al. An Age- and Condition-Dependent Variable Weight Model for Performance Evaluation of Bridge Systems. KSCE J Civ Eng 25, 1816–1825 (2021). https://doi.org/10.1007/s12205-021-1243-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-021-1243-y