TSNDLibCollection of benchmark instances for {0,1,2}-Sruvivable Network Design |
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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. |
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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) |
[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. |