Question 20
TSP
Use the distance matrix to construct TSP tours.
| A | B | C | D | E | |
|---|---|---|---|---|---|
| A | - | 18 | 30 | 90 | 54 |
| B | 18 | - | 48 | 84 | 36 |
| C | 30 | 48 | - | 60 | 72 |
| D | 90 | 84 | 60 | - | 24 |
| E | 54 | 36 | 72 | 24 | - |
Based on the above data, answer the given subquestions.
Consider N cities in a Euclidean plane and use the Euclidean Distance as the distance measure. For each city, take that city as the fulcrum (base) city and compute its Savings tour. From the resulting N Savings tours, select the cheapest tour. What can you conclude about the above procedure?
This procedure can be used to compute the optimal TSP tour.
This procedure is not suitable for computing the optimal TSP tour.
This procedure may not always terminate.
This procedure will always terminate.