Layered Graph Approaches to the Hop Constrained Connected Facility Location Problem

Published Online:https://doi.org/10.1287/ijoc.1120.0500

References

  • Achterberg T. SCIP: Solving constraint integer programs. Math. Programming Comput. (2009) 1(1):1–41CrossrefGoogle Scholar
  • Balakrishnan A, Altinkemer K. Using a hop-constrained model to generate alternative communication network design. INFORMS J. Comput. (1992) 4(2):192–205LinkGoogle Scholar
  • Bardossy MG, Raghavan S. Dual-based local search for the connected facility location and related problems. INFORMS J. Comput. (2010) 22(4):584–602LinkGoogle Scholar
  • Beasley JE. OR-Library: Distributing test problems by electronic mail. J. Oper. Res. Soc. (1990) 41(11):1069–1072CrossrefGoogle Scholar
  • Cherkassky BV, Goldberg AV. On implementing push-relabel method for the maximum flow problem. Algorithmica (1994) 19(4):390–410CrossrefGoogle Scholar
  • Costa AM, Cordeau J-F, Laporte G. Fast heuristics for the Steiner tree problem with revenues, budget, and hop constraints. Eur. J. Oper. Res. (2008) 190(1):68–78CrossrefGoogle Scholar
  • Costa AM, Cordeau J-F, Laporte G. Models and branch-and-cut algorithms for the Steiner tree problem with revenues, budget, and hop constraints. Networks (2009) 53(2):141–159CrossrefGoogle Scholar
  • Dahl G, Gouveia L, Requejo C, Pardalos PM, Resende M. On formulations and methods for the hop-constrained minimum spanning tree problem. Handbook of Optimization in Telecommunications (2006) (Springer, New York) 493–515CrossrefGoogle Scholar
  • Eisenbrand F, Grandoni F, Rothvoß T, Schäfer G. Connected facility location via random facility sampling and core detouring. J. Comput. System Sci. (2010) 76(8):709–726CrossrefGoogle Scholar
  • Gollowitzer S, Ljubić I. MIP models for connected facility location: A theoretical and computational study. Comput. Oper. Res. (2011) 38(2):435–449CrossrefGoogle Scholar
  • Gouveia L. Multicommodity flow models for spanning trees with hop constraints. Eur. J. Oper. Res. (1996) 95(1):178–190CrossrefGoogle Scholar
  • Gouveia L. Using variable redefinition for computing lower bounds for minimum spanning and Steiner trees with hop constraints. INFORMS J. Comput. (1998) 10(2):180–188LinkGoogle Scholar
  • Gouveia L, Sanso B, Soriano P. Using hop-indexed models for constrained spanning and Steiner tree models. Telecommunications Network Planning (1999) (Kluwer, Norwell, MA) 21–32CrossrefGoogle Scholar
  • Gouveia L, Simonetti L, Uchoa E. Modeling hop-constrained and diameter-constrained minimum spanning tree problems as Steiner tree problems over layered graphs. Math. Programming (2011) 128(1–2):123–148CrossrefGoogle Scholar
  • Koch T, Martin A. Solving Steiner tree problems in graphs to optimality. Networks (1998) 32(3):207–232CrossrefGoogle Scholar
  • Kompella VP, Polyzos GC, Pasquale JC. Multicast routing for multimedia communication. IEEE/ACM Trans. Networking (1993) 1(3):286–292CrossrefGoogle Scholar
  • Kratica J, Tošić D, Filipović V, Ljubić I. Solving the simple plant location problem by genetic algorithms. RAIRO—Oper. Res. (2001) 35(1):127–142CrossrefGoogle Scholar
  • Krick C, Räcke H, Westermann M. Approximation algorithms for data management in networks. Theory Comput. Systems (2003) 36(5):497–519CrossrefGoogle Scholar
  • Leitner M, Raidl GR. Branch-and-cut-and-price for capacitated connected facility location. J. Math. Model. Algorithms (2011) 10(3):245–267CrossrefGoogle Scholar
  • Ljubić I, Bartz-Beielstein T, Blesa Aguilera MJ, Blum C, Naujoks B, Roli A, Rudolph G, Sampels M. A hybrid VNS for connected facility location. Hybrid Metaheuristics (2007) 4771(Springer, Berlin) 157–169Lecture Notes in Computer ScienceCrossrefGoogle Scholar
  • Ljubić I, Gollowitzer S, Haouari M, Mahjoub AR. Modeling the hop constrained connected facility location problem on layered graphs. Proc. Internat. Sympos. Combin. Optim. (ISCO), Electronic Notes in Discrete Math. (2010) 36(Elsevier, Amsterdam) 207–214CrossrefGoogle Scholar
  • Magnanti T, Wolsey L, Ball MO, Magnanti TL, Monma CL, Nemhauser GL. Optimal trees. Network Models (1995) 7(North Holland, Amsterdam) 503–615Handbooks in Operations Research Management ScienceCrossrefGoogle Scholar
  • Mahdian M, Ye Y, Zhang J. Approximation algorithms for metric facility location problems. SIAM J. Comput. (2006) 36(2):411–432CrossrefGoogle Scholar
  • Max-Planck-Institut für Informatik UflLib. (2003) . Accessed on March 23, 2012 http://www.mpi-inf.mpg.de/departments/d1/projects/benchmarks/UflLib/Google Scholar
  • Pathan M, Buyya R, Buyya R, Pathan M, Vakali A. A taxonomy of CDNs. Content Delivery Networks (2008) 9(Springer, Heidelberg) 33–77Lecture Notes in Electrical EngineeringCrossrefGoogle Scholar
  • Ruthmair M, Raidl GR, Günlük O, Woeginger GJ. A layered graph model and an adaptive layers framework to solve delay-constrained minimum tree problems. 15th Conf. on Int. Prog. Comb. Opt. (IPCO XV) (2011) (IBM Learning Center, Armonk, NY) 376–388CrossrefGoogle Scholar
  • Tomazic A, Ljubić I. A GRASP algorithm for the connected facility location problem. Internat. Sympos. Applications and the Internet (SAINT) (2008) (IEEE Computer Society)257–260CrossrefGoogle Scholar
  • Voß S. The Steiner tree problem with hop constraints. Ann. Oper. Res. (1999) 86(0):321–345CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.