Semi-oblivious routing

ABSTRACT

We introduce semi-oblivious routing, a generalization of oblivious routing in which multicommodity flows must be routed using a polynomial-sized set of paths which is predefined by the algorithm before the demand matrix for the flow problem is revealed. Our results, which are primarily negative, exclude the possibility of constant-competitive semi-oblivious routing schemes, even when the network is a grid or a seriesparallel graph. We provide an even stronger lower bound on the congestion of constant-bend routing schemes in the grid.

REFERENCES

• 1: Yossi Azar , Edith Cohen , Amos Fiat , Haim Kaplan , Harald Racke, Optimal oblivious routing in polynomial time, Proceedings of the thirty-fifth annual ACM symposium on Theory of computing, June 09-11, 2003, San Diego, CA, USA [doi>10.1145/780542.780599]
• 2: Marcin Bienkowski , Miroslaw Korzeniowski , Harald Räcke, A practical algorithm for constructing oblivious routing schemes, Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures, June 07-09, 2003, San Diego, California, USA [doi>10.1145/777412.777418]
• 3: Chris Harrelson , Kirsten Hildrum , Satish Rao, A polynomial-time tree decomposition to minimize congestion, Proceedings of the fifteenth annual ACM symposium on Parallel algorithms and architectures, June 07-09, 2003, San Diego, California, USA [doi>10.1145/777412.777419]
• 4: Harald Räcke, Minimizing Congestion in General Networks, Proceedings of the 43rd Symposium on Foundations of Computer Science, p.43-52, November 16-19, 2002

INDEX TERMS

Primary Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.2 Nonnumerical Algorithms and Problems
          Subjects: Routing and layout

General Terms:
Algorithms, Theory