On the complexity of equal shortest path routing

Frédéric Giroire 1 Stéphane Pérennes 1 Issam Tahiri 1
1 COATI - Combinatorics, Optimization and Algorithms for Telecommunications
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - COMRED - COMmunications, Réseaux, systèmes Embarqués et Distribués
Abstract : In telecommunication networks packets are carried from a source s to a destination t on a path determined by the underlying routing protocol. Most routing protocols belong to the class of shortest path routing protocols. In such protocols, the network operator assigns a length to each link. A packet going from s to t follows a shortest path according to these lengths. For better protection and efficiency, one wishes to use multiple (shortest) paths between two nodes. Therefore the routing protocol must determine how the traffic from s to t is distributed among the shortest paths. In the protocol called OSPF-ECMP (for Open Shortest Path First-Equal Cost Multiple Path) the traffic incoming at every node is uniformly balanced on all outgoing links that are on shortest paths. In that context, the operator task is to determine the " best " link lengths, toward a goal such as maximizing the network throughput for given link capacities. In this work, we show that the problem of maximizing even a single commodity flow for the OSPF-ECMP protocol cannot be approximated within any constant factor ratio. Besides this main theorem, we derive some positive results which include polynomial-time approximations and an exponential-time exact algorithm.
Complete list of metadatas

Cited literature [15 references]  Display  Hide  Download

https://hal.inria.fr/hal-01218473
Contributor : Frédéric Giroire <>
Submitted on : Wednesday, October 21, 2015 - 11:42:48 AM
Last modification on : Monday, November 5, 2018 - 3:36:03 PM
Long-term archiving on : Friday, April 28, 2017 - 6:23:17 AM

File

ospf-journal.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Frédéric Giroire, Stéphane Pérennes, Issam Tahiri. On the complexity of equal shortest path routing. Networks, Wiley, 2015, ⟨10.1002/net.21612⟩. ⟨hal-01218473⟩

Share

Metrics

Record views

483

Files downloads

226