This study investigates arrivals of sanitary sewer overflows collected from a municipality. The data set consists of recorded overflows from 2011 to 2014 during dry weather. Reliability analysis is conducted upon each data set. The Weibull distribution is adopted to evaluate the data sets. The results show that the arrival of dry weather SSOs cannot be simply modeled with a Poisson process that is featured with a constant arrival rate. For annual data set, 2-parameter Weibull generally has an acceptable fitting (except 2014 data). The shape parameters are close to 1 or a little greater than 1, indicating relatively constant arrival rate or slightly increased rate. For the entire data set, the 3-parameter Weibull distribution is able to fit the data well. The shape parameter is also greater than 1. Therefore, an increased SSO arrival rate is noticed for this data set. There are needs to make more efforts in maintaining the sewer system.
Ross, S. (2006) Introduction to Probability Models Academic. Academic Press, New York, 256.
Onof, C., Chandler, R., Kakou, A., Northrop, P., Wheater, H. and Isham, V. (2000) Rainfall Modelling Using Poisson-Cluster Processes: A Review of Developments. Stochastic Environmental Research and Risk Assessment, 14, 384-411. http://dx.doi.org/10.1007/s004770000043
Lord, D., Washington, S.P. and Ivan, J.N. (2005) Poisson, Poisson-Gamma and Zero-Inflated Regression Models of Motor Vehicle Crashes: Balancing Statistical Fit and Theory. Accident Analysis & Prevention, 37, 35-46. http://dx.doi.org/10.1016/j.aap.2004.02.004
Chu, C.-Y. and Durango-Cohen, P.L. (2008). Empirical Comparison of Statistical Pavement Performance Models. Journal of Infrastructure Systems, 14, 138-149. http://dx.doi.org/10.1061/(ASCE)1076-0342(2008)14:2(138)
Crow, L. (2009) Reliability Reliability Analysis for Complex, Repairable Systems (No. AMSAA-TR-138). Army Material Systems Analysis Activity, Aberdeen Providing Ground MD.
Cox, D. (1966) The Statistical Analysis of Series of Events. Methuen, London. http://dx.doi.org/10.1007/978-94-011-7801-3
Jin, Y. and Mukherjee, A. (2010) “Analyzing Municipal Blockage Failure Datasets for Sewer Systems. Construction Research Congress 2010@Innovation for Reshaping Construction Practice, Banff, 597-606. http://dx.doi.org/10.1061/41109(373)60
Jin, Y. and Mukherjee, A. (2010) Modeling Blockage Failures in Sewer Systems to Support Maintenance Decision Making. Journal of Performance of Constructed Facilities, 24, 622-633. http://dx.doi.org/10.1061/(ASCE)CF.1943-5509.0000126
Jin, Y. and Barkdoll, B.D. (2009) A Direct Method for Determining Riprap Size for Erosion Protection in Rivers. World Environmental and Water Resources Congress 2009@ Great Rivers, Kansas City, 3437-3440. http://dx.doi.org/10.1061/41036(342)347
Politano, M., Odgaard, A.J. and Klecan, W. (2007) Case Study: Numerical Evaluation of Hydraulic Transients in a Combined Sewer Overflow Tunnel System. Journal of Hydraulic Engineering, 133, 1103-1110. http://dx.doi.org/10.1061/(ASCE)0733-9429(2007)133:10(1103)
Jin, Y. (2006) Direct Method to Determine the Optimal Riprap Size for Erosion Protection in Rivers. Dissertation, Michigan Technological University.
Bennis, S., Bengassem, J. and Lamarre, P. (2003) Hydraulic Performance Index of a Sewer Network. Journal of Hydraulic Engineering, 129, 504-510. http://dx.doi.org/10.1061/(ASCE)0733-9429(2003)129:7(504)
Mukherjee, A., Johnson, D., Jin, Y. and Kieckhafer, R. (2009) Using Situational Simulations to Support Decision Making in Co-Dependent Infrastructure Systems. International Journal of Critical Infrastructures, 6, 52-72. http://dx.doi.org/10.1504/IJCIS.2010.029576
Wirahadikusumah, R., Abraham, D. and Iseley, T. (2001) Challenging Issues in Modeling Deterioration of Combined Sewers. Journal of Infrastructure Systems, 7, 77-84. http://dx.doi.org/10.1061/(ASCE)1076-0342(2001)7:2(77)
Jin, Y. and Mukherjee, A. (2014) Markov Chain Applications in Modelling Facility Condition Deterioration. International Journal of Critical Infrastructures, 10, 93-112. http://dx.doi.org/10.1504/IJCIS.2014.062965
Jin, Y. and Mukherjee, A. (2012) Analysis of Heterogeneity in Infrastructure Condition Assessment Models. Construction Research Congress 2012@Construction Challenges in a Flat World, West Lafayette, 2241 2249. http://dx.doi.org/10.1061/9780784412329.225
Micevski, T., Kuczera, G. and Coombes, P. (2002) Markov Model for Storm Water Pipe Deterioration. Journal of Infrastructure Systems, 8, 49-56. http://dx.doi.org/10.1061/(ASCE)1076-0342(2002)8:2(49)
Baik, H.-S., Jeong, H.S. and Abraham, D.M. (2006) Estimating Transition Probabilities in Markov Chain-Based Deterioration Models for Management of Wastewater Systems. Journal of Water Resources Planning and Management, 132, 15-24. http://dx.doi.org/10.1061/(ASCE)0733-9496(2006)132:1(15)
Breffle, W.S., Muralidharan, D., Donovan, R.P., Liu, F., Mukherjee, A. and Jin, Y. (2013) Socioeconomic Evaluation of the Impact of Natural Resource Stressors on Human-Use Services in the Great Lakes Environment: A Lake Michigan Case Study. Resources Policy, 38, 152-161. http://dx.doi.org/10.1016/j.resourpol.2012.10.004
Ruwanpura, J., Ariaratnam, S.T. and El-Assaly, A. (2004) Prediction Models for Sewer Infrastructure Utilizing Rule-Based Simulation. Civil Engineering and Environmental Systems, 21, 169-185. http://dx.doi.org/10.1080/10286600410001694192
Najafi, M. and Kim, K.O. (2004) Life-Cycle-Cost Comparison of Trenchless and Conventional Open-Cut Pipeline Construction Projects. Proceedings of the ASCE Pipeline Division Specialty Congress-Pipeline Engineering and Construction, San Diego, 1-4 August 2004, 1-4.
Lassaux, S., Renzoni, R. and Germain, A. (2007) Life Cycle Assessment of Water from the Pumping Station to the Wastewater Treatment Plant. International Journal of Life Cycle Assessment, 12, 118. http://dx.doi.org/10.1065/lca2005.12.243
Jin, Y. (2013) Evaluating Infrastructure Performance to Assist Facility Management Toward Sustainable Systems. http://digitalcommons.mtu.edu/etd-restricted/104/
Filion, Y.R., MacLean, H.L. and Karney, B.W. (2004) Life-Cycle Energy Analysis of a Water Distribution System. Journal of Infrastructure Systems, 10, 120-130. http://dx.doi.org/10.1061/(ASCE)1076-0342(2004)10:3(119)
Herz, R. and Lipkow, A. (2002) Life Cycle Assessment of Water Mains and Sewers. Water Science and Technology: Water Supply, 2, 51-72.