“…The structure for the PMP formulation stated by (30), (31), (32), (33), (34), (35), (36), and (37) has the following special characteristics: (1) the variables have a clear partition structure which has a merit on using the decomposition method; (2) although the nonlinear expression in (30), (31), (32), (33), (34), (35), (36), and (37) has a nonconvex basics, if we take x as the complicating variables under the GBD architecture, (33) and (34) will separately have a convex form for y and z with given x. Meanwhile, the master problem can be represented by a simplified MINLP formulation and be easily linear-approximately restated by a MILP problem which is finally solved by the mature commercialized software package.…”