II.5 References 107 Table II.3: Markov chain types used to model deterioration in sewer mains. “Single” and “Multi” are depicted in Figure II.7; Inhom. and Hom. indicate inhomogeneous or homogeneous-time Markov chains. Reference Single Multi Inhom. Hom. Kleiner, 2001 ↭ ↭ Micevski, Kuczera, and Coombes, 2002 ↭ ↭ Baik, Jeong, and Abraham, 2006 ↭ ↭ Le Gat, 2008 ↭ ↭ Dirksen and Clemens, 2008 ↭ ↭ Ana and Bauwens, 2010 ↭ ↭ ↭ Lubini and Fuamba, 2011 ↭ ↭ Scheidegger, Hug, Rieckermann, et al., 2011 ↭ ↭ ↭ ↭ Egger, Scheidegger, Reichert, et al., 2013 ↭ ↭ Duchesne, Beardsell, Villeneuve, et al., 2013 ↭ ↭ Timashev and Bushinskaya, 2015 ↭ ↭ Rokstad and Ugarelli, 2015 ↭ ↭ Caradot, Sonnenberg, Kropp, et al., 2017 ↭ ↭ Caradot, Riechel, Fesneau, et al., 2018 ↭ ↭ Lin, Yuan, and Tovilla, 2019 ↭ ↭ Hawari, Alkadour, Elmasry, et al., 2020 ↭ ↭ ↭ ↭ Tran, Lokuge, Karunasena, et al., 2022 ↭ ↭ Jimenez-Roa, Heskes, Tinga, et al., 2022 ↭ ↭ ↭ Jimenez-Roa, Tinga, Heskes, et al., 2024† ↭ ↭ † Reference uses the Markov chain type “Single+Failure” in Figure II.7(c). Baik, H.-S., H. S. Jeong, and D. M. Abraham (2006). “Estimating Transition Probabilities in Markov Chain-Based Deterioration Models for Management of Wastewater Systems”. In: Journal of Water Resources Planning and Management 132.1, pp. 15–24. doi: 10.1061/(ASCE)0733-9496(2006)132:1(15). Barraud, S., E. Bosco, F. Clemens-Meyer, G. Fernandes, Y. Le Gat, C. de Haan, R. Luimes, K. Makris, F. Rooyackers, I. Scheperboer, J. Skjelde, and A. Suiker (June 2024). “Deterioration processes and modelling in urban drainage systems”. In: Asset Management of Urban Drainage Systems: If anything exciting happens, we’ve done it wrong! IWA Publishing. isbn: 9781789063059. doi: 10.2166/9781789063059_0131. Brémaud, P. (2020). “Non-homogeneous Markov Chains”. In: Markov Chains: Gibbs Fields, Monte Carlo Simulation and Queues. Cham: Springer International Publishing, pp. 399–422. isbn: 978-3-030-45982-6. doi: 10.1007/978-3-030-45982-6_12. Caradot, N., M. Riechel, M. Fesneau, N. Hernandez, A. Torres, H. Sonnenberg, E. Eckert, N. Lengemann, J. Waschnewski, and P. Rouault (2018). “Practical benchmarking of statistical and machine learning models for predicting the condition of sewer pipes in Berlin, Germany”. In: Journal of Hydroinformatics 20.5, pp. 1131–1147. doi: 10.2166/ hydro.2018.217. Caradot, N., P. Rouault, F. Clemens, and F. Cherqui (2018). “Evaluation of uncertainties in sewer condition assessment”. In: Structure and Infrastructure Engineering 14.2, pp. 264–273. doi: 10.1080/15732479.2017.1356858. Caradot, N., H. Sonnenberg, I. Kropp, A. Ringe, S. Denhez, A. Hartmann, and P. Rouault (2017). “The relevance of sewer deterioration modelling to support asset management
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