NDLI: Survivable network design using polyhedral approaches

Content Provider	IEEE Xplore Digital Library
Author	Agarwal, Y.K.
Copyright Year	2011
Description	Author affiliation: Indian Institute of Management, Prabandh Nagar, Off Sitapur Road, Lucknow, INDIA - 226 013 (Agarwal, Y.K.)
Abstract	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.
Starting Page	1
Ending Page	6
File Size	332747
Page Count	6
File Format	PDF
ISBN	9781424489527
e-ISBN	9781424489534
e-ISBN	9781424489510
DOI	10.1109/COMSNETS.2011.5716411
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-01-04
Publisher Place	India
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Measurement multi-commodity flow integer programming Routing Linear programming Indexes telecommunications k-partition facet inequalities Upper bound survivability IP networks network design polyhedral structure
Content Type	Text
Resource Type	Article

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