Question: Algorithm question In the bin-packing problem, we are given n items with weights w1, w2, ellipsis, wn, respectively. Our goal is to find the smallest

Algorithm question  Algorithm question In the bin-packing problem, we are given n items

In the bin-packing problem, we are given n items with weights w1, w2, ellipsis, wn, respectively. Our goal is to find the smallest number of bins that will hold the n objects, where each bin has capacity of at most one kilogram. The first-fit heuristic considers the objects in the order in which they are given. For each object, place it into first bin that has room for it. If no such bin exists, start a new bin. Prove that this heuristic uses most twice as many bins as the optimal solution

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!