Primal-Dual-Based Algorithms for a Directed Network Design Problem

Published Online:https://doi.org/10.1287/ijoc.1040.0066

References

  • Agrawal A., Klein P., Ravi R. When trees collide: An approximation algorithm for the generalized Steiner problem on networks. SIAM J. Comput. (1995) 24:445–456CrossrefGoogle Scholar
  • Edmonds J. Optimum branchings. J. Res. National Bureau Standards B (1967) 71:233–240CrossrefGoogle Scholar
  • Frederickson G. N., Jaja J. Approximation algorithms for several graph augmentation problems. SIAM J. Comput. (1981) 10:270–283CrossrefGoogle Scholar
  • Goemans M. X., Williamson D. P. A general approximation technique for constrained forest problem. SIAM J. Comput. (1995) 24:296–317CrossrefGoogle Scholar
  • Goemans M. X., Goldberg A., Plotkin S., Shmoys D., Tardos E., Williamson D. P. Approximations algorithms for network design problems. Proc. 5th Annual Sympos. Discrete Algorithms (1994) (Association for Computing Machinery, New York) 223–232Google Scholar
  • Held M., Karp R. The traveling-salesman problem and minimum spanning trees. Oper. Res. (1970) 18:1138–1162LinkGoogle Scholar
  • Jain K. A factor 2 approximation algorithm for the generalized Steiner network problem. Proc. 39th Annual Sympos. Foundations Comput. Sci. (1998) Palo Alto, CA:448–457CrossrefGoogle Scholar
  • Jain K., Vazirani V. Approximation algorithms for metric facility location and k-median problems using the primal-dual schema and Lagrangian relaxation. Proc. 40th Annual Sympos. Foundations Comput. Sci. (1999) New York:2–13Google Scholar
  • Melkonian V., Tardos É. Approximation algorithms for a directed network design problem. Proc. 7th Internat. Integer Programming Combin. Optim. Conf. (IPCO’99) (1999) Graz, Austria:345–360CrossrefGoogle Scholar
  • Rajagopalan S., Vazirani V. On the bidirected cut relaxation for the metric Steiner tree problem. Proc. 10th Annual ACM-SIAM Sympos. Discrete Algorithms (1999) (Association for Computing Machinery, New York) 742–751Google Scholar
  • Raz R., Safra S. A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP. Proc. 29th Annual ACM Sympos. Theory Comput. (1997) El Paso, Texas:475–484CrossrefGoogle Scholar
  • Traveling salesman problem instances (2003) . TSPLIB libraryGoogle Scholar
  • Williamson D. P., Goemans M. X., Mihail M., Vazirani V. A primal-dual approximation algorithm for generalized Steiner network problems. Combinatorica (1995) 15:435–454CrossrefGoogle Scholar
  • Zhu A., Khuller S., Raghavachari B. A uniform framework for approximating weighted connectivity problems. Proc. 10th Annual Sympos. Discrete Algorithms (1999) (Association for Computing Machinery, New York) 937–938Google Scholar
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