Which of the following problems is solved by using Branch and Bound method?ans.prim's algorithmtravelling salesman problemDFSBFS Previous Marked for Review Next

The Branch and Bound method is used to solve the Travelling Salesman Problem. This method is used to find the shortest possible route that a traveling salesman can take to cover all cities and return back to the origin city. The method uses the concept of optimization through branching and bounding, hence the name.

Here's a step-by-step explanation:

1. First, a solution is found without considering the constraints. This is called the initial solution.

2. Then, the problem is divided into subproblems (branching).

3. For each subproblem, a bound is calculated. If the bound is better than the current best, then the subproblem is kept for further exploration. If not, the subproblem is discarded.

4. This process is repeated until the optimal solution is found or all subproblems have been explored.

So, among the options given, the Travelling Salesman Problem is solved by using the Branch and Bound method.

The Branch and Bound method is used to solve the Travelling Salesman Problem. This method is used to find the shortest possible route that a traveling salesman can take to cover all given destinations once and return to the origin.

Here's a step-by-step explanation:

1. First, a node is created for the source city, and the cost is calculated for this node. The cost is the reduced cost matrix and the cost of the path to reach the node.

2. Then, the nodes are expanded using a Breadth-First Search (BFS). The cities are visited in increasing order of their indexes.

3. For each node, the child nodes are created. Each child node represents a city that can be visited next.

4. The cost for each child node is calculated. If the cost is less than the current minimum cost, then the node is kept for further expansion. Otherwise, the node is pruned from the search space.

5. The process is repeated until the goal node is reached, which represents visiting all cities and returning to the source city.

6. The path with the minimum cost is the solution to the Travelling Salesman Problem.

So, among the options given, the Travelling Salesman Problem is solved by using the Branch and Bound method.