Calculate Lower Bound TSP
Introduction & Importance
Calculating the lower bound of the Traveling Salesman Problem (TSP) is crucial for finding near-optimal solutions efficiently…
How to Use This Calculator
- Enter the number of cities (n).
- Input the distance matrix for the cities.
- Click ‘Calculate’.
Formula & Methodology
The lower bound of TSP can be calculated using the Held-Karp algorithm…
Real-World Examples
Example 1: 5 cities
Cities: A, B, C, D, E
Distance matrix:
| A | B | C | D | E | |
| A | 0 | 10 | 15 | 20 | 25 |
| B | 10 | 0 | 35 | 25 | 30 |
| C | 15 | 35 | 0 | 30 | 15 |
| D | 20 | 25 | 30 | 0 | 10 |
| E | 25 | 30 | 15 | 10 | 0 |
Example 2 & 3: …
Data & Statistics
| Method | Average Time (ms) | Average Error (%) |
|---|---|---|
| Brute Force | … | … |
| Held-Karp | … | … |
Expert Tips
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Interactive FAQ
What is the Traveling Salesman Problem?
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How does the Held-Karp algorithm work?
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