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ESA
2009
Springer

Dynamic vs. Oblivious Routing in Network Design

13 years 10 months ago
Dynamic vs. Oblivious Routing in Network Design
Consider the robust network design problem of finding a minimum cost network with enough capacity to route all traffic demand matrices in a given polytope. We investigate the impact of different routing models in this robust setting: in particular, we compare oblivious routing, where the routing between each terminal pair must be fixed in advance, to dynamic routing, where routings may depend arbitrarily on the current demand. Our main result is a construction that shows that the optimal cost of such a network based on oblivious routing (fractional or integral) may be a factor of Ω(log n) more than the cost required when using dynamic routing. This is true even in the important special case of the asymmetric hose model. This answers a question in [4], and is tight up to constant factors. Our proof technique builds on a connection between expander graphs and robust design for single-sink traffic patterns [5].
Navin Goyal, Neil Olver, F. Bruce Shepherd
Added 26 May 2010
Updated 26 May 2010
Type Conference
Year 2009
Where ESA
Authors Navin Goyal, Neil Olver, F. Bruce Shepherd
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