“…In the problem, constraints (7), (12), (13), and (15) are referred to as the linking constraints because of the presence of the first-stage variables x and z in the second-stage, which links the two stages. Let A be the coefficient matrix for variables z n,j in the linking constraints (7), where a i,q is the entry of matrix A at indices i and q, and a i,q ∈ R |N ||J||T |×|N ||J| . In addition, let F and G be the coefficient matrices for variables x n,j in the linking constraints (12) and ((13), (15)), respectively, where f i,q and g i,q are the entries of the matrices F and G at indices i and q, and f i,q ∈ R |N ||J||T ||B|×|N ||J| , g i,q ∈ R 2|T ||N ||N ||B||J||S|×|N ||J| .…”