|
Upper bound of produced quantities of plant i
|
\(P_i^U\)
|
8000
|
|
Lower bound of produced quantities of plant i
|
\(P_i^L\)
|
5000
|
|
Upper bound of transported quantities from plant i to warehouse j
|
\(Q_{ij}^U\)
|
500
|
|
Upper bound of transported quantities warehouse j to customer k
|
\(Q_{jk}^U\)
|
500
|
|
Unit production cost at plant i
|
\(c_i^P\)
|
U[0, 200]
|
|
Fixed route cost from plant i to warehouse j
|
\(c_{ij}^F\)
|
U[50, 100]
|
|
Unit transportation cost from plant i to warehouse j
|
\(c_{ij}^V\)
|
U[0, 20]
|
|
Fixed route cost from warehouse j to customer k
|
\(c_{jk}^F\)
|
U[50, 100]
|
|
Unit transportation cost from warehouse j to customer k
|
\(c_{ij}^V\)
|
U[0, 20]
|
|
Penalty cost assigned to uncovered demand of customer k
|
\(c_k^{{ PEN}}\)
|
\(10^{6}\)
|
|
Fixed installation cost of warehouse j
|
\(F_j\)
|
\(U[50, 100]\times 10^{3}\)
|
|
Coefficient relating quantity at capacity warehouse j
|
\(\beta _j\)
|
U[0.0001, 0.01]
|
|
Inventory kept at warehouse j
|
\(I_j\)
|
U[0, 100]
|
|
Demand of customer k
|
\(d_k\)
|
\(U[500, 1000]\times 10^{3}\)
|