Table 1 CSD LP model structure in R with decision variables, RHS constraints, and the objective function
Objfn1 | Â | OB1P1 | OB2P1 | OB3P1 | OB4P1 | OB5P1 | OB6P1 | OB7P1 | OB8P1 | Â | Â | Â | Â |
Objfn2 | Â | OB1P2 | OB2P2 | OB3P2 | OB4P2 | OB5P2 | OB6P2 | OB7P2 | OB8P2 | Â | Â | Â | Â |
Objfn3 |  | … | … | … | … | … | … | … | … |  |  |  |  |
Objfn4 |  | … | … | … | … | … | … | … | … |  |  |  |  |
Objfn5 |  | … | … | … | … | … | … | … | … |  |  |  |  |
Objfn6 |  | … | … | … | … | … | … | … | … |  |  |  |  |
Objfnn | Â | OB1Pn | OB2Pn | OB3Pn | OB4Pn | OB5Pn | OB6Pn | OB7Pn | OB8Pn | Â | Â | Â | Â |
| Â | Â | Â | Â | Â | Â | Â | Â | Â | Â | Â | Constraints | ||
| Â | Item/unit | DV1 | DV2 | DV3 | DV4 | DV5 | DV6 | DV7 | DV8 | Â | S | G | F |
Constraint | W (kg) | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | = | 1 | 1 | 1 |
Constraint | ME (Mcal/kg) | 3.35 | 2.44 | 2.48 | 0.00 | 0.00 | 3.61 | 3.61 | 8.20 | ≥ | 3.05 | 3.10 | 3.15 |
Constraint | Protein (%) | 8.50 | 48.50 | 27.40 | 0.00 | 0.00 | 57.52 | 94.40 | 0.00 | ≥ | 22 | 20 | 18 |
Constraint | Calcium (%) | 0.02 | 0.27 | 0.17 | 38.00 | 22.00 | 0.00 | 0.00 | 0.00 | ≥ | 0.95 | 0.92 | 0.89 |
Constraint | Available p. (%) | 0.08 | 0.22 | 0.39 | 0.00 | 18.65 | 0.00 | 0.00 | 0.00 | ≥ | 0.475 | 0.460 | 0.445 |
Constraint | Arginine (%) | 0.38 | 3.48 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | ≥ | 1.377 | 1.252 | 1.127 |
Constraint | Lysine (%) | 0.26 | 2.96 | 0.75 | 0.00 | 0.00 | 0.00 | 74.42 | 0.00 | ≥ | 1.148 | 1.044 | 0.940 |
Constraint | Meth. Cyst. (%) | 0.36 | 1.39 | 1.00 | 0.00 | 0.00 | 98.00 | 0.00 | 0.00 | ≥ | 0.889 | 0.808 | 0.727 |
Constraint | Crude fiber (%) | 2.20 | 3.90 | 9.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | ≤ | 3 | 3 | 3 |
Upper bound | Â | inf | inf | inf | inf | inf | inf | inf | inf | Â | Â | Â | Â |
Lower bound | Â | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | Â | Â | Â | Â |