Table 6 Optimal values of variables for lower bound \(f^{-}\)
Time span (k) | Facility type (i) | Locality (j) | Optimum waste allocation (tonnes) |
|---|---|---|---|
1 | 1 | 1 | \(x_{111}=250\) |
2 | \(x_{121}=150\) | ||
3 | \(x_{131}=250\) | ||
2 | 1 | \(x_{211}=0\) | |
2 | \(x_{221}=0\) | ||
3 | \(x_{231}=0\) | ||
2 | 1 | 1 | \(x_{112}=300\) |
2 | \(x_{122}=102\) | ||
3 | \(x_{132}=250\) | ||
2 | 1 | \(x_{212}=0\) | |
2 | \(x_{222}=83\) | ||
3 | \(x_{232}=0\) | ||
3 | 1 | 1 | \(x_{113}=350\) |
2 | \(x_{123}=215\) | ||
3 | \(x_{133}=300\) | ||
2 | 1 | \(x_{213}=0\) | |
2 | \(x_{223}=0\) | ||
3 | \(x_{233}=0\) | ||
| Â | Lower bound \(f^{-}\) | $260,670,295 | |