The Greedy Algorithm fails to find the optimal solution for the Traveling Salesman Problem because it makes locally optimal choices at each step—always moving to the nearest unvisited city—without considering the global structure of the route. This often results in a sub-optimal route that crosses over itself.
Conditions: The algorithm starts at any city.; It repeatedly moves to the closest city that has not yet been visited.; It returns to the starting city after all others are visited.
The Greedy Algorithm fails to find the optimal solution for the Traveling Salesman Problem because it makes locally optimal choices at each step—always moving to the nearest unvisited city—without considering the global structure of the route. This often results in a sub-optimal route that crosses over itself.
Conditions: The algorithm starts at any city.; It repeatedly moves to the closest city that has not yet been visited.; It returns to the starting city after all others are visited.