The Proportional Hazards Modeling of Water Main Failure Data Incorporating the Time-dependent Effects of Covariates

Water Resources Management

Volumn 25, Issue 1, 2011, Pages 1-19

  Park, Suwan ^a   Jun, Hwandon ^b   Agbenowosi, Newland ^c   Kim, Bong Jae ^d   Lim, Kiyoung ^a  

^a Pusan National University   (South Korea)

^b Seoul National University of Science and Technology   (South Korea)

^c BOOZ ALLEN HAMILTON   (United States)

^d Korea Water Resources Corporation   (South Korea)

Author keywords

Consecutive breaks; Hazard rates; Pipe break; Proportional hazards model; Time dependent effects of covariates; Water main

Indexed keywords

CAST IRON; CAST IRON PIPE; WATER DISTRIBUTION SYSTEMS;

CONSECUTIVE BREAKS; COVARIATES; HAZARD RATES; PIPE BREAK; PROPORTIONAL HAZARDS MODEL; WATER MAINS;

HAZARDS;

COMPUTER SIMULATION; FAILURE ANALYSIS; HAZARD ASSESSMENT; NUMERICAL MODEL; PIPELINE; REGRESSION ANALYSIS; TIME DEPENDENT BEHAVIOR; WATER MANAGEMENT;

EID: 77953500025     PISSN: 09204741     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11269-010-9684-y     Document Type: Article

References (14)

1. Andreou SA, Marks DH, Clark RM (1987) A new methodology for modeling break failure patterns in deteriorating water distribution systems: applications. Adv Water Resour 10: 11-20.
2. Allison PD (1996) Survival Analysis using SAS: a practical guide. Cary, NC, SAS Institute Inc., pp 173-174.
3. Brémond B (1997) Statistical modeling as help in network renewal decision, European commission co-operation on science and technology (COST). Committee C3-diagnostics of urban infrastructure. Paris, France.
4. Cox DR (1972) Regression models and life tables. J R Stat Soc, R Stat Soc 34(B): 187-220.
5. Eisenbeis P (1994) Modélisation statistique de la prévision des défaillances sur les conduites d'eau potable. Ph. D. thesis, University Louis Pasteur of Strasbourg, collection Etudes Cemagref No. 17, France.
6. Klein JP, Moeschberger ML (2003) Survival Analysis: techniques for censored and truncated data. Springer, New York, pp 374-381.
7. Kleiner Y, Rajani B (2001) Comprehensive review of structural deterioration of water mains: statistical models. Urban Water, Taylor and Francis 3: 131-150.
8. Lei J (1997) Statistical approach for describing lifetimes of water mains-Case Trondheim Municipality. SINTEF Civil and Environmental Engineering, Report No. 22F007. 28, Trondheim, Norway.
9. Marks DH et al (1985) Predicting urban water distribution maintenance strategies: a case study of New Haven Connecticut. US Environmental Protection Agency (cooperative agreement R8 1 0558-01-0).
10. Marks HD, Andreou S, Jeffrey L, Park C, Zaslavski A (1987) Statistical models for water main failures. US Environmental Protection Agency (Cooperative Agreement CR8 1 0558) M. I. T. Office of Sponsored Projects No. 94211. Boston, MA.
11. Park S, Jun H, Kim BJ, Im GC (2008) Modeling of water main failure rates using the log-linear ROCOF and the power law process. Water Resour Manag 22: 1311-1324.
12. Rajani B, Kleiner Y (2001) Comprehensive review of structural deterioration of water mains: physically based models. Urban Water, Taylor and Francis 3: 151-164.
13. SAS Institute Inc (2009) http://www. sas. com/index. html.
14. Therneau TM, Grambsch PM, Fleming TR (1990) Martingale-based residuals for survival models. Biometrika, Oxford Journals 77: 147-160.