“…Some popular representations for solving JSPs are operation based, job based, preference-list based, priority-rule based, and job pair-relation based representations (Ponnambalam et al, 2001). We select the job pair-relation based genotype representation due to the flexibility of applying genetic operators (Nakano & Yamada, 1991; Paredis, 1992; Yamada & Nakano, 1997; Yamada, 2003). In this representation, a chromosome is symbolized by a binary string, where each bit stands for the order of a job pair ( u , v ) for a particular machine m .…”