A Hybrid GRASP with Perturbations for the Steiner Problem in Graphs
Published Online:1 Aug 2002https://doi.org/10.1287/ijoc.14.3.228.116
References
- , Ribeiro C. C., Hansen P. Reactive tabu search with path-relinking for the Steiner problem in graphs. Essays and Surveys in Metaheuristics (2001) (Kluwer, Boston, MA) 39–58Google Scholar
- OR-Library: Distributing test problems by electronic mail. Journal of the Operational Research Society (1990) 41:1069–1072Crossref, Google Scholar
- Local search with perturbations for the prize-collecting Steiner tree problem. Networks (2001) 38:50–58Crossref, Google Scholar
- The noising method: a new method for combinatorial optimization. Operations Research Letters (1993) 14:133–137Crossref, Google Scholar
- Introduction to Algorithms (1990) (MIT Press, Cambridge, MA) Google Scholar
- A note on two problems in connexion with graphs. Numerische Mathematik (1959) 1:269–271Crossref, Google Scholar
- Steiner's Problem in Graphs: Approximation, Reduction, Variation (1994) (Doctorate Dissertation,Institute of Actuarial Science and Economics, University of Amsterdam, Amsterdam, The Netherlands) Google Scholar
- (2001) . Personal communicationGoogle Scholar
- Reduction tests for the Steiner problem in graphs. Networks (1989) 19:549–567Crossref, Google Scholar
- Efficient path and vertex exchange in Steiner tree algorithms. Networks (1997) 29:89–105Crossref, Google Scholar
- The Pilot method: a strategy for heuristic repetition with application to the Steiner problem in graphs. Networks (1999) 34:181–191Crossref, Google Scholar
- Greedy randomized adaptive search procedures. Journal of Global Optimization (1995) 6:109–133Crossref, Google Scholar
- Improved constructive multistart strategies for the quadratic assignment problem using adaptive memory. INFORMS Journal on Computing (1999) 11:198–204Link, Google Scholar
- A tabu search heuristic for the Steiner tree problem. Networks (1999) 34:163–172Crossref, Google Scholar
- , Barr R. S., Helga-son R. V., Kennington J. L. Tabu search and adaptive memory programing-advances, applications and challenges. Interfaces in Computer Science and Operations Research (1996) (Kluwer, Boston, MA) 1–75Google Scholar
- , Laguna M., onzáles-Velarde J. L. Multi-start and strategic oscillation methods-Principles to exploit adaptive memory. Computing Tools for Modeling, Optimization and Simulation: Interfaces in Computer Science and Operations Research (2000) (Kluwer, Boston, MA) 1–24Crossref, Google Scholar
- Fundamentals of scatter search and path relinking. Control and Cybernetics (2000) 39:653–684Google Scholar
- The Steiner Tree Problem (1992) (North-Holland, Amsterdam, The Netherlands) Google Scholar
- , Miller E., Thatcher J. W. Reducibility among combinatorial problems. Complexity of Computer Computations (1972) (Plenum Press, New York) 85–103Crossref, Google Scholar
- Solving Steiner tree problems in graphs to optimality. Networks (1998) 32:207–232Crossref, Google Scholar
- SteinLib: an updated library on Steiner tree problems in graphs. (2001) . ZIB-Report 00-37, Konrad-Zuse-Zentrum für Informationstechnik Berlin,Berlin,Germany. Online document at http://elib.zib.de/steinlib/steinlib.html, acessed May 1, 2001Google Scholar
- On the shortest spanning tree of a graph and he traveling salesman problem. Proceedings of the American Mathematical Society (1956) 7:48–50Crossref, Google Scholar
- , Martello S., Laporte G., Minoux M., Ribeiro C. C. The Steiner problem in graphs. Annals of Discrete Mathematics 31: Surveys in Combinatorial Optimization (1987) (Elsevier, Amsterdam, The Netherlands) 185–212Crossref, Google Scholar
- A parallel GRASP for the Steiner tree problem in graphs using a hybrid local search strategy. Journal of Global Optimization (2000) 17:267–283Crossref, Google Scholar
- Efficient greedy heuristics for Steiner tree problems using reoptimization and supermodularity. INFOR (1990) 28:221–233Google Scholar
- Dual heuristics on the exact solution of large Steiner problems. Electronic Notes in Discrete Mathematics (2001) 7Online document at http://www.elsevier.nl/locate/endmaccessed November 1, 2001Google Scholar
- Improved algorithms for the Steiner problem in networks. Discrete Applied Mathematics (2001) 112:263–300Crossref, Google Scholar
- Tabu search for the Steiner problem in graphs. Networks (2000) 36:138–146Crossref, Google Scholar
- Computational results for algorithm HGP+PR. (2001) . Online document at http://www.inf.puc-rio.br/~celso/artigos/tabs-hgppr.ps, accessed November 1, 2001Google Scholar
- An approximate solution for the Steiner problem in graphs. Math. Japonica (1980) 24:573–577Google Scholar
- Preprocessing Steiner problems from VLSI layout. (1999) . Monogra fias em Ciência da Computaçã;o 32/99,Department of Computer Science, Catholic University of Rio de Janeiro, Rio de Janeiro, BrazilGoogle Scholar
- , Rayward-Smith V. J., Osman I. H., Reeves C. R., Smith G. D. Local search for Steiner trees in graphs. Morden Heuristics Search Methods (1996) (Wiley, New York) 117–129Google Scholar
- Steiner-Probleme in Graphen (1990) (Anton Hain, Frankfurt, Germany) Google Scholar
- Steiner's problem in graphs: heuristic methods. Discrete Applied Mathematics (1992) 40:45–72Crossref, Google Scholar
- Steiner problem in networks:a survey. Networks (1987) 17:129–167Crossref, Google Scholar
- Reductions for the rectilinear Steiner tree problem. Networks (1995) 26:187–198Crossref, Google Scholar

