Question

What is a Greedy Approach to Problem-solving? Formulate the fractional Knapsack Problem as an optimisation problem and write a greedy algorithm to solve this problem. Solve the following fractional Knapsack problem using this algorithm. Show all the steps. Suppose there is a knapsack of capacity 15 Kg and 6 items are to packed in it. The weight and profit of the items are as under:

(p1, p2,…, p6) = (3, 2, 4, 5, 1, 6)

(w1, w2,…, w6) = (2, 1, 2, 1, 5, 1)

25 Jul 2024
Answer :
Word Count : 733

### Greedy Approach to Problem-Solving

The Greedy Approach is a problem-solving strategy that builds up a solution piece by piece, always choosing the next piece that offers the most immediate benefit or is the best according to some criterion. Unlike other algorithms that may consider multiple potential solutions and optimize them, the greedy approach makes a series of choices, each of which is locally optimal, with the hope that these choices will lead to a globally optimal solution.

### Fractional Knapsack Problem

Formulation as an Optimization Problem:

The Fractional Knapsack Problem is a type of optimization problem where the goal is to maximize the total profit obtained by packing items into a knapsack with a limited capacity. Unlike the 0/1 Knapsack Problem, _______ ________ ________ ____ __________ ______.
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