1 / 5

Weighted interval scheduling for a lazy man Input: the same as weighted interval scheduling.

Weighted interval scheduling for a lazy man Input: the same as weighted interval scheduling. Goal: find a set of compatible jobs such that for any two consecutive jobs in the subset either there is some idle time or the total length of the two consecutive jobs is at most k.

mirit
Download Presentation

Weighted interval scheduling for a lazy man Input: the same as weighted interval scheduling.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Weighted interval scheduling for a lazy man Input: the same as weighted interval scheduling. Goal: find a set of compatible jobs such that for any two consecutive jobs in the subset either there is some idle time or the total length of the two consecutive jobs is at most k. If k=4, we can choose black, blue, yellow as a subset. But we cannot choose black, blue and green as the subset.

  2. Solution: Still the same equation, but use different p(). OPT(j) be the weight of the optimal solution containing at most the first j jobs. OPT(j)=max {OPT(j-1), vj+ OPT(p(j))} Initial Value: OPT(0)=0. P(j) is redefined as: the largest i<j such that job i is compatible with j and either there is some idle time between i and j or fj-si k.

  3. K=4 p(b)=0; p( c )=0; p(a)=0; p(e)=0; p(d)=0; p(f)=b; p(g)=c; p(h)=e;

  4. k=6 p(b)=0; p( c )=0; p(a)=0; p(e)=b; p(d)=0; p(f)=c; p(g)=c; p(h)=e;

More Related