“…To solve the NP-hard problem, many hybrid meta-heuristics have been proposed [ 2 , 3 ]. For the PFSP, its objective is to find a good job sequence to minimize makespan [ 4 , 5 , 6 ], flow time [ 7 , 8 , 9 , 10 ], tardiness [ 11 , 12 , 13 , 14 ], multiple objective [ 15 , 16 , 17 , 18 , 19 , 20 ], etc.…”