“…In the literature, the optimization of warranty is carried out in which objective functions for optimization are the minimization of the expected warranty cost and price, maximization of the expected profit per product and market share, improvement of reliability (Mitra and Patankar, 1988, 1997; Yun, 1997; Liu et al , 2006; Lu and Chiang, 2008; Wu et al , 2009; Saidi‐Mehrabad et al , 2010; Shafiee et al , 2011; Shafiee and Zuo, 2011; Park and Pham, 2012; Faridimehr and Niaki, 2012). The most commonly used constraints in the literature are related to warranty reserves and life cycle costs (Kleyner and Sandborn, 2008; Mitra and Patankar, 1990; Painton and Campbell, 1995).…”