By Topic

Survivable network design using polyhedral approaches

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Yogesh K. Agarwal ; Indian Institute of Management, Prabandh Nagar, Off Sitapur Road, Lucknow, INDIA - 226 013

We consider the problem of designing a survivable telecommunication network using facilities of a fixed capacity. Given a graph G = (V, E), the traffic demand among the nodes, and the cost of installing facilities on the edges of G, we wish to design the minimum cost network, so that under any single edge failure, the network permits the flow of all traffic using the remaining capacity. The problem is modeled as a mixed integer program, which can be converted into a pure integer program by applying the well-known Japanese Theorem on multi-commodity flows. Using a key theorem that characterizes the facet inequalities of this integer program, we derive several families of 3- and 4-partition facets, which help to achieve extremely tight lower bounds on the problem. Using these bounds, problems of up to 20 nodes and 40 edges have been solved optimally in a pervious work. Using heuristic approaches based on this framework, we solve problems of up to 40 nodes and 80 edges to obtain solutions that are approximately within 5% of optimal solutions.

Published in:

2011 Third International Conference on Communication Systems and Networks (COMSNETS 2011)

Date of Conference:

4-8 Jan. 2011