10 Ekim 2012 Çarşamba

Some NP-Hard problems

Traveling Salesman Problem
Find the shortest tour through a given set of n cities that visits each city exactly once before returning to the city where it started.

Knapsack Problem

Given n items of known weights w1, …, wn and values v1, …, vn and a knapsack of capacity W.
Find the most valuable subset of the items that fit into the knapsack

Assignment Problem

There are n people who need to be assigned to execute n jobs, one person per job.
The cost of assigning the ith person to the jth job is a known quantity C[i,j] for each pair i,j=1, … , n.
Problem is to find an assignment with smallest total cost !


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