Traveling Salesman Problem Knapsack Problem Assignment Problem Given a cities with known distances between each pair, find the shortest tour that passes through all the eities exactly once befere returning to the starting city Given n cities with known distances between each pair. find the shortest tour that passes through all the cities exactly once before returning to the starting city There are a poople who need to be assigned to n jobs, one person per job. The cost of assigning person p to job j is Cij Find an assignment that minimizes the total cost. Find most valuoble subset of the items that fit into the knapsack Alternatively: find shortest Hamiltoan circuit in a weighted Laranh Generate all legitimate assignments, compute their eosts, and select the cheapest one

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Introduction to Greedy Algorithm

A greedy algorithm is a problem-solving method that makes the locally optimal selection at every stage to reach a globally optimal solution. It solves a problem in two stages: Scanning the list of items and Optimization. However, in most problems, the greedy algorithm fails to provide a globally optimal solution.