“…Shock models have been widely studied by Chen and Li (2008), Mallor and Santos (2003), Mallor and Santos (2003), Mallor et al (2006), Gut (2001), Li (1984), Zehui and Kong (2007), Zehui and Zhao (2007), Bai et al (2006), Persona et al (2010), Sgarbossa and Pham (2010), Pham (2005), and Pham and Wang (1996) in order to provide mathematical formulations for modeling the system reliability in random environments. Traditionally, three principal models are considered: cumulative shock model, extreme shock models and run shock model.…”