Interval Partitioning Problem

Everything Under The Sun

The interval partitioning problem is described as follows:
Given a set {1, 2, …, n} of n requests, where ith request starts at time s(i) and finishes at time f(i), find the minimum number of resources needed to schedule all requests so that no two requests are assigned to the same resource at the same time. Two requests i and j can conflict in one of two ways:

  1. s(i) <= s(j) and f(i) > s(j)
  2. s(j) <= s(i) and f(j) > s(i)

Example: Given 3 requests with s(1) = 1, f(1) = 3, s(2) = 2, f(2) = 4, s(3) = 3, f(3) = 5, at least 2 resources are needed to satisfy all requests. A valid assignment of requests to resources is {1, 3} and {2}.

View original post 390 more words

Advertisements

About Khuram Ali

Programming... Programming and Programming...!!!

Posted on September 30, 2013, in Algorithms and tagged . Bookmark the permalink. Leave a comment.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: