Table 7 Optimal values of variables for upper bound \(f^{+}\)
Time span (k) | Facility type (i) | Locality (j) | Optimum waste allocation (tonnes) |
|---|---|---|---|
1 | 1 | 1 | \(x_{111}=0\) |
2 | \(x_{121}=250\) | ||
3 | \(x_{131}=200\) | ||
2 | 1 | \(x_{211}=350\) | |
2 | \(x_{221}=0\) | ||
3 | \(x_{231}=150\) | ||
2 | 1 | 1 | \(x_{112}=0\) |
2 | \(x_{122}=165\) | ||
3 | \(x_{132}=350\) | ||
2 | 1 | \(x_{212}=400\) | |
2 | \(x_{222}=100\) | ||
3 | \(x_{232}=0\) | ||
3 | 1 | 1 | \(x_{113}=0\) |
2 | \(x_{123}=285\) | ||
3 | \(x_{133}=361\) | ||
2 | 1 | \(x_{213}=440\) | |
2 | \(x_{223}=0\) | ||
3 | \(x_{233}=39\) | ||
| Â | Upper bound \(f^{+}\) | $473,418,686 | |