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Knapsack problem of Greedy method [ understand with real life example].

Knapsack problem of Greedy method [ understand with real life example].

https://www.gyanodhan.com/video/7B6.%20GATE%20CSEIT/Data%20Structure/647.%20Knapsack%20problem%20of%20Greedy%20method%20%5B%20understand%20with%20real%20life%20example%5D.mp4

πŸŽ’ Knapsack Problem using Greedy Method β€” with Real-Life Example


What is the Knapsack Problem?

It’s a classic optimization problem where:


Greedy Method (Fractional Knapsack)

In the Greedy approach, you:


Real-Life Example: Emergency Relief Backpack

Imagine you’re packing an emergency relief bag during a disaster. The bag can hold up to 15 kg. You have these items:

Item Weight (kg) Value (Importance) Value/Weight
First Aid Kit 3 60 20.0
Bottled Water 5 100 20.0
Food Pack 7 140 20.0
Flashlight 2 30 15.0

Step-by-step Greedy Method:

  1. Sort items by value/weight ratio:

    • All have 20.0, except flashlight (15.0)

  2. Start filling the bag with items of highest ratio:

Total weight used = 15 kg
Total value gained = 300
(No room for Flashlight)


If only 2 kg space left for Food Pack?

Take 2/7 of it:
β†’ Value = (2/7) Γ— 140 = 40


Why Greedy Works Here?


Where Greedy Fails?

In 0/1 Knapsack (items can’t be split), greedy may not give the best solution. There, Dynamic Programming is better.


Summary:

Concept Greedy Approach Works
Fractional items Yes
0/1 items Not always optimal
Real-life fit Packing, resource loading

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Knapsack problem of Greedy method [ understand with real life example].

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