“…The reverse chains/logistics consists of the flows from collection of used products through recycling parts from the used products to reuse the recycled parts. Theoretical analyses and the marginal insights obtained from numerical examples on the reverse chains/logistics are discussed in the following previous papers: Aras et al (2004), Behret and Korugan (2009), Ferguson et al (2009), Fleischman et al (1997, Guide (2000), Guide and Wassenhove (2001), Inderfurth (2005), Konstantaras et al (2010), Kusukawa and Akizawa (2015), Nenes et al (2010), Pochampally et al (2009), Pokharel and Liang (2012), Savaskan and Van Wassenhove (2006), Tang and Teunter (2006), Teunter and Flapper (2011), Watanabe and Kusukawa (2014), Watanabe et al (2013), Wei et al (2011), Wu (2012), Zhang et al (2014).…”