Algorithm_TravelingSalesperson

1. Traveling Salesperson Optimization Problem
2. The Traveling Salesperson Optimization Problem
3. A reduced cost matrix
4. Another reduced matrix
5. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
6. Another reduced matrix
7. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
8. Another reduced matrix
9. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
10. Another reduced matrix
11. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
12. A reduced cost matrix if arc (4,6) is included in the solution.
13. The reduced cost matrix for all solutions with arc 4-6.Total cost reduced: 96 + 3 = 99 (new lower bound).
14. A reduced cost matrix if arc (4,6) is included in the solution.
15. The reduced cost matrix for all solutions with arc 4-6.Total cost reduced: 96 + 3 = 99 (new lower bound).
16. Slide 8

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1. Traveling Salesperson Optimization Problem
2. The Traveling Salesperson Optimization Problem
3. A reduced cost matrix
4. Another reduced matrix
5. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
6. Another reduced matrix
7. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
8. Another reduced matrix
9. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
10. Another reduced matrix
11. The highest level of a decision tree: If we use arc 3-5 to split, the difference on the lower bounds is 17 + 1 = 18.
12. A reduced cost matrix if arc (4,6) is included in the solution.
13. The reduced cost matrix for all solutions with arc 4-6.Total cost reduced: 96 + 3 = 99 (new lower bound).
14. A reduced cost matrix if arc (4,6) is included in the solution.
15. The reduced cost matrix for all solutions with arc 4-6.Total cost reduced: 96 + 3 = 99 (new lower bound).
16. Slide 8