Table 3 Total fuel load and solution time (seconds) or optimality gap (%) at 10,800Â s, for 40 treatment units with 5, 10 and 15-year planning horizon
From: A model for solving the prescribed burn planning problem
| Â | Using the exact MIP approach | Using the exact method for the single-period problem | Using the approximate method for the single-period problem | |||
|---|---|---|---|---|---|---|
Treatment level | Treatment level | Treatment level | ||||
5Â % | 10Â % | 5Â % | 10Â % | 5Â % | 10Â % | |
With TFI | ||||||
 5-Year planning horizon | ||||||
  Solution time | 0.28 s | 0.61 s | 6.36 s | 6.96 s | 0.01 s | <0.01 s |
  Total fuel load (tonnes) | 86,485.18 | 68,881.18 | 86,760.76 | 69,810.45 | 86,719.71 | 73,751.99 |
 10-Year planning horizon | ||||||
  Solution time | 0.55 s | 3.18 s | 15.33 s | 11.59 s | 0.02 s | 0.01 s |
  Total fuel load (tonnes) | 167,073.99 | 126,230.60 | 169,480.60 | 130,989.90 | 168,897.70 | 134,543.14 |
 15-Year planning horizon | ||||||
  Solution time | 8.80 s | 7586.33 | 20.54 s | 16.06 s | 0.03 s | 0.01 s |
  Total fuel load (tonnes) | 245,671.97 | 185,310.04 | 250,616.10 | 193,569.77 | 250,348.40 | 195,460.34 |
Without TFI | ||||||
 5-Year planning horizon | ||||||
  Solution time | 0.84 s | 4.89 s | 6.94 s | 9.41 s | 0.01 s | 0.01 s |
  Total fuel load (tonnes) | 85,312.245 | 68,445.858 | 85,518.07 | 68,752.81 | 85,416.47 | 71,016.17 |
 10-Year planning horizon | ||||||
  Solution time | 307.87 s | (0.58 %) | 13.46 s | 18.26 s | 0.02 s | 0.03 s |
  Total fuel load (tonnes) | 163,279.77 | (123,346.30) | 165,634.87 | 125,142.26 | 165,743.48 | 129,400.07 |
 15-Year planning horizon | ||||||
  Solution time | (4.59 %) | (8.82 %) | 20.58 s | 27.85 s | 0.03 s | 0.04 s |
  Total fuel load (tonnes) | (242,727.28) | (180,937.79) | 245,443.79 | 180,974.32 | 246,804.43 | 186,476.47 |