The Fractional Knapsack problem is most efficiently solved by the Greedy algorithm.

Here's a step-by-step explanation:

1. The Greedy algorithm follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

2. In the context of the Fractional Knapsack problem, the Greedy algorithm sorts all the items based on their value/weight ratio.

3. It then starts adding the items to the knapsack, starting from the item with the highest ratio.

4. If adding the entire item would exceed the maximum weight of the knapsack, it only adds the fraction that makes the total weight equal to the maximum weight.

5. The algorithm continues this process until the knapsack is full or all items have been considered.

This approach ensures that the knapsack is filled in such a way that the total value of the items inside it is maximized.

Question

The Fractional Knapsack problem is most efficiently solved by the Greedy algorithm.

Here's a step-by-step explanation:

1. The Greedy algorithm follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

2. In the context of the Fractional Knapsack problem, the Greedy algorithm sorts all the items based on their value/weight ratio.

3. It then starts adding the items to the knapsack, starting from the item with the highest ratio.

4. If adding the entire item would exceed the maximum weight of the knapsack, it only adds the fraction that makes the total weight equal to the maximum weight.

5. The algorithm continues this process until the knapsack is full or all items have been considered.

This approach ensures that the knapsack is filled in such a way that the total value of the items inside it is maximized.

Knowee AI · Accepted Answer

The Fractional Knapsack problem is most efficiently solved by the Greedy algorithm.

Here's a step-by-step explanation:

1. The Greedy algorithm follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

2. In the context of the Fractional Knapsack problem, the Greedy algorithm sorts all the items based on their value/weight ratio.

3. It then starts adding the items to the knapsack, starting from the item with the highest ratio.

4. If adding the entire item would exceed the maximum weight of the knapsack, it only adds the fraction that makes the total weight equal to the maximum weight.

5. The algorithm continues this process until the knapsack is full or all items have been considered.

This approach ensures that the knapsack is filled in such a way that the total value of the items inside it is maximized.

Fractional knapsack problem is solved most efficiently by which of the following algorithm?Question 4Answera.Backtrackingb.Greedy algorithmc.Dynamic programmingd.Divide and conquer

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