“…The Markov chain has been used for the infrastructure deterioration predictions, including bridges (Fu and Debraj, 2008;Mishalani and Madanat, 2002;Ranjith, et al 2011), roads (Abaza and Ashur, 1999;Anderson, et al 1994;Butt, et al 1994;Hudson, et al 1998;Jin, et al 2010;Kobayashi, et al 2010;Lethanh and Adey, 2012;Li, 1997;Mandiartha, 2010;Mills, 2010;Ortiz-Garcia, et al 2006;Panthi, 2009;Pierce, 2003;Robinson, et al 1998;Tack and Chou, 2002;Wang, et al 1994), waste water (Hyeon-shik, et al 2006), rail (Ferreira and Murray, 1997;Shafahi and Hakhamaneshi, 2009) and pipelines (Jin, et al 2010;Sinha and Mark, 2004). …”