TSNDLib

Collection of benchmark instances for {0,1,2}-Sruvivable Network Design


M. Chimani, M. Kandyba, I. Ljubic, P. Mutzel
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name nodes source problems published experiments remarks
grid 100-8100 [1] all 2RPCSN([2]), 2NCON([3]])
extended grid 100-900 to be published all to be published
real-world 197, 1757 [1] all 2RPCSN([2]), 2NCON([3])
extended real-world 197, 1757 to be published all to be published
PCSTLib+ 100, 200, 400 [1] all 2RPCSN([2]), 2NCON([3])
TSPLIB-based delauney triangulations 29-4461 [7] all 2NCON ([3])
TSPLIB [6],[4] spanning [4] complete graphs with euclidean distances
For these graphs {2}-NCON and {2}-ECON are equivalent problems and therefore is undirected formulation with additional valid inequalities (node-partition and F-partition) for {2}-NCON more appropriate. However, for {1,2}-ECON it is already not the case.
TSPLIBplus to be published spanning to be published complete graphs with euclidean distances
For these graphs {2}-NCON and {2}-ECON are equivalent problems and therefore is undirected formulation with additional valid inequalities (node-partition and F-partition) for {2}-NCON more appropriate. However, for {1,2}-ECON it is already not the case. We generated instances with the following customer settings (C1,C2)=(0,25),(0,50),(0,75),(0,100), (10,10),(25,25), (25,75), (50,50),(75,25)

References

[1] P. Bachhiesl. The OPT- and the SST-problems for real world access network design - basic definitions and test instances. Working Report NetQuest 01/2005, Carinthia Tech Institute, Klagenfurt, Austria, 2005
[2] M. Chimani, M. Kandyba, P. Mutzel. A new ILP formulation for 2-root-connected prize-collecting Steiner networks. Proceedings of 15th Annual European Symposium on Algorithms (ESA'07), volume 4698 of LNCS, pages 681-692, Springer, 2007
[3] M. Chimani, M. Kandyba, I. Ljubic, P. Mutzel. Strong Formulations for 2-Node-Connected Steiner Network Problems. To appear at 2nd Annual International Conference on Combinatorial Optimization and Applications (COCOA'08), St. John's, Newfoundland, 2008.
[4] H. Kerivin, A. R. Mahjoub and C. Nocq (1,2)-Survivable networks: Facets and branch-and-cut. The Sharpest Cut, MPS-SIAM Series in Optimization, M. Grötschel (Editor), pages 121-152, 2004
[5] S. Raghavan Formulations and Algorithms for the Network Design Problems with Connectivity Requirements PhD Thesis, MIT, Cambridge, MA, 1995
[6] http://www.iwr.uni-heidelberg.de/groups/comopt/software/TSPLIB95/
[7] D. Wagner. Generierung und Adaptierung von Testanzen für das OPT und SST Problem. Technical Report 03/2007, Carinthia Tech Institute, Klagenfurt, Austria, 2007. In german.