Fast gradient methods for network flow problems

Event Details
  • Date/Time:
    • Tuesday April 7, 2009
      11:00 am - 12:00 pm
  • Location: IC 117
  • Phone:
  • URL:
  • Email:
  • Fee(s):
    $0.00
  • Extras:
Contact
Anita Race
H. Milton Stewart School of Industrial and Systems Engineering
Contact Anita Race
Summaries

Summary Sentence: Fast gradient methods for network flow problems

Full Summary: Fast gradient methods for network flow problems

TITLE: Fast gradient methods for network flow problems

SPEAKER: Dr. Yuri Nesterov

ABSTRACT:

In this talk we present a new approach for finding approximate solutions to different network problems related to multi-commodity flows. We consider simple subgradient schemes and schemes based on the smoothing technique. The fastest of our methods solves the maximal concurrent flow problem in $O({qm ln n over delta})$ iterations, where $delta$ is the related accuracy, $m$ and $n$ are the number of arcs/nodes in the graph, and $q$ is the number
of commodity sources. Each iteration of these schemes is very simple and does not require any sophisticated operations (e.g. shortest path computation). Its complexity is of the order $O(mq ln q)$ operations. The application of our approach needs a preliminary computational stage
consisting in finding all node-to-node maximal flows, which takes $O(n2 m ln n)$ operations.

Additional Information

In Campus Calendar
No
Groups

H. Milton Stewart School of Industrial and Systems Engineering (ISYE)

Invited Audience
No audiences were selected.
Categories
Seminar/Lecture/Colloquium
Keywords
gradient
Status
  • Created By: Anita Race
  • Workflow Status: Published
  • Created On: Oct 12, 2009 - 4:36pm
  • Last Updated: Oct 7, 2016 - 9:47pm