“…Except software package service as programming solver, MP-based approaches observed in the field of three targeted fields are as follows: Branch-and-Bound [34], Branch-and-Cut [146], Branch-and-Price [219], Branch-and-Cut-and-Price [142], Dynamic Programming [220], Lagrangian Relaxation [221], Column Generation [222], Set Partitioning [223], Constraint Programming [224], Goal Programming [225], Set Covering [226], and so forth. As shown in Table 1, it can be observed that the most frequently used mathematical programming-based method in the field of scheduling is B&B (Branch-and-Bound), while B&P (Branch-and-Price) is the most popular branching method in the field of VRP.…”