Greedy Algorithms Questions
Some real-life examples where greedy algorithms are used include:
1. Coin changing problem: Finding the minimum number of coins needed to make change for a given amount of money.
2. Job scheduling: Assigning tasks to workers in a way that minimizes the total completion time or maximizes the number of tasks completed.
3. Huffman coding: Creating an optimal prefix-free binary code for data compression, where frequently occurring characters are assigned shorter codes.
4. Fractional knapsack problem: Selecting items with maximum total value, given a knapsack with a limited weight capacity.
5. Prim's algorithm: Finding the minimum spanning tree in a connected weighted graph, used in network design and clustering problems.
6. Dijkstra's algorithm: Finding the shortest path between two nodes in a graph, used in navigation systems and network routing.
7. Activity selection problem: Selecting a maximum-size set of mutually compatible activities, such as scheduling classes or meetings.
8. Interval scheduling: Scheduling tasks or events that have start and end times, such as scheduling appointments or booking time slots.
9. Task sequencing: Determining the order in which tasks should be performed to minimize the total time or cost, such as in production planning or project management.
10. Traveling Salesman Problem: Finding the shortest possible route that visits a given set of cities and returns to the starting city, used in logistics and route optimization.