Question: Given the distance matrix below, how should a pickup truck pick up the consignments from nine different vendors (starting from and ending at the Logistics
Given the distance matrix below, how should a pickup truck pick up the consignments from nine different vendors (starting from and ending at the Logistics Center LC) so as to minimise the distance travelled? The daily weight to be PICKED UP in tonnes is also mentioned.
| Dist Matrix | dij matrix | |||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | LC | |
| 1 | 0 | 3 | 4 | 4 | 2 | 1 | 5 | 1 | 4 | 2 |
| 2 | 3 | 0 | 3 | 1 | 5 | 2 | 1 | 3 | 3 | 6 |
| 3 | 4 | 3 | 0 | 3 | 5 | 2 | 1 | 4 | 5 | 5 |
| 4 | 4 | 1 | 3 | 0 | 5 | 2 | 3 | 1 | 2 | 3 |
| 5 | 2 | 5 | 5 | 5 | 0 | 4 | 5 | 3 | 5 | 6 |
| 6 | 1 | 2 | 2 | 2 | 4 | 0 | 2 | 2 | 5 | 2 |
| 7 | 5 | 1 | 1 | 3 | 5 | 2 | 0 | 5 | 6 | 6 |
| 8 | 1 | 3 | 4 | 1 | 3 | 2 | 5 | 0 | 1 | 6 |
| 9 | 4 | 3 | 5 | 2 | 5 | 5 | 6 | 1 | 0 | 1 |
| LC | 2 | 6 | 5 | 3 | 6 | 2 | 6 | 6 | 1 | 0 |
| daily weight in tonnes | 10 | 12 | 8 | 9 | 5 | 6 | 7 | 8 | 9 | 10 |
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