Chained Lin-Kernighan for Large Traveling Salesman Problems
Published Online:1 Feb 2003https://doi.org/10.1287/ijoc.15.1.82.15157
References
- On the solution of traveling salesman problems. Documenta Mathematica Journal der Deutschen Mathematiker-Vereinigung, International Congress of Mathematicians (1998) 645–656Google Scholar
- Finding tours in the TSP. (1999) . Report Number 99885, Research Institute for Discrete Mathematics, Universität Bonn, Bonn, GermanyGoogle Scholar
- , Jünger M., Naddef D. TSP cuts which do not conform to the template paradigm. Computational Combinatorial Optimization (2001) (Springer, Heidelberg, Germany) 261–304Crossref, Google Scholar
- Lower bounds for the travelling salesman problem. TSP '90 (1990) . Technical report CRPCTR90547, Center for Research in Parallel Computing, Rice University, Houston, TXGoogle Scholar
- The shortest path through many points. Proceedings of the Cambridge Philosophical Society (1959) 55:299–327Crossref, Google Scholar
- Fast algorithms for geometric traveling salesman problems. ORSA Journal on Computing (1992) 4:387–411Link, Google Scholar
- Large traveling salesman problems arising from experiments in X-ray crystallography: A preliminary report on computation. Operations Research Letters (1989) 8:125–128Crossref, Google Scholar
- On a certain minimal problem (in Czech). Práce Moravské Přírodovědecké Společcnosti (1926) 3:37–58Google Scholar
- The random link approximation for the Euclidean traveling salesman problem. Journal de Physique I (1997) 7:117–136Crossref, Google Scholar
- Worst-case analysis of a new heuristic for the travelling salesman problem. (1976) . Report 388, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PAGoogle Scholar
- A data structure useful for finding Hamiltonian cycles. Theoretical Computer Science (1990) 71:419–424Crossref, Google Scholar
- Perturbation: an efficient technique for the solution of very large instances of the Euclidean TSP. INFORMS Journal on Computing (1996) 8:125–133Link, Google Scholar
- An algorithm for the ring-routing problem. (1993) . Technical Memorandum, Bellcore, Morristown, NJGoogle Scholar
- A sweepline algorithm for Voronoi diagrams. Algorithmica (1987) 2:153–174Crossref, Google Scholar
- weep2. Computer code (in the C programming language). (1994) . www.netlib.org/voronoi/sweep2Google Scholar
- Data structures for traveling salesmen. Journal of Algorithms (1995) 18:432–479Crossref, Google Scholar
- The traveling-salesman problem and minimum spanning trees: part II. Mathematical Programming (1971) 1:6–25Crossref, Google Scholar
- An effective implementation of the Lin-Kernighan traveling salesman heuristic. European Journal of Operational Research (2000) 126:106–130The LKH code is available at http://www.dat.ruc.dk/~keld/research/LKH/Crossref, Google Scholar
- Improved large-step markov chain variants for the symmetric TSP. Journal of Heuristics (1997) 3:63–81Crossref, Google Scholar
- Local optimization and the traveling salesman problem. Proceedings 17th Colloquium of Automata, Languages, and Programming, Lecture Notes in Computer Science (1990) (Springer-Verlag, Berlin, Germany) 446–461No. 443Crossref, Google Scholar
- , Aarts E. H. L., Lenstra J. K. The traveling salesman problem: a case study in local optimization. Local Search in Combinatorial Optimization (1997) (Wiley, New York) 215–310Google Scholar
- Asymptotic experimental analysis for the Held-Karp traveling salesman bound. Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (1996) (Association for Computing Machinery, New York) 341–350Google Scholar
- , Lawler E. L., Lenstra J. K., Rinnooy Kan A. H. G., Shmoys D. B. Performance guarantees for heuristics. The Traveling Salesman Problem (1985) (Wiley, Chichester, U.K.) 145–180Google Scholar
- , Ball M., Magnanti T., Monma C. L., Nemhauser G. The traveling salesman problem. Handbook on Operations Research and Management Sciences: Networks (1995) (North-Holland, Amsterdam, The Netherlands) 225–330Google Scholar
- , Lawler E. L., Lenstra J. K., Rinnooy Kan A. H. G., Shmoys D. B. Probabilistic analysis of heuristics. The Traveling Salesman Problem (1985) (Wiley, Chichester, U.K.) 181–205Google Scholar
- The Traveling Salesman Problem (1985) (Wiley, Chichester, U.K) Google Scholar
- An effective heuristic algorithm for the traveling-salesman problem. Operations Research (1973) 21:498–516Link, Google Scholar
- A modified Lin-Kernighan traveling salesman heuristic. Operations Research Letters (1993) 13:127–132Crossref, Google Scholar
- Combining simulated annealing with local search heuristics. Annals of Operations Research (1996) 63:57–75Crossref, Google Scholar
- Large-step Markov chains for the traveling salesman problem. Complex Systems (1991) 5:299–326Google Scholar
- Large-step Markov chains for the TSP incorporating local search heuristics. Operations Research Letters (1992) 11:219–224Crossref, Google Scholar
- A staged primal-dual algorithm for perfect b-matching with edge capacities. ORSA Journal on Computing (1995) 7:298–320Link, Google Scholar
- Efficient Cluster Compensation for Lin-Kernighan Heuristics (1999) (Ph.D. thesis, Department of Computer Science, University of Toronto, Toronto, Ontario, Canada) Google Scholar
- Finite size and dimensional dependence in the Euclidean traveling salesman problem. Physical Review Letters (1996) 76:1188–1191Crossref, Google Scholar
- On the significance of the initial solution in travelling salesman heuristics. Journal of the Operational Research Society (1994) 45:1131–1140Crossref, Google Scholar
- TSPLIB—A traveling salesman library. ORSA Journal on Computing (1991) 3:376–384Link, Google Scholar
- The Traveling Salesman: Computational Solutions for TSP Applications (1994) (Springer-Verlag, Berlin, Germany) Google Scholar
- TSPLIB 95. (1995) . Research Report, Institut für Angewandte Mathematik, Universität Heidelberg, Heidelberg, Germany. Updated results available at http://www.iwr.uni-heidelberg.de/groups/comopt/software/TSPLIB95/Google Scholar
- Parallele Heuristiken für sehr grosse Traveling Salesman Probleme (1997) (Diplomarbeit, Research Institute for Discrete Mathematics, Universität Bonn, Bonn, Germany) Google Scholar
- Effiziente Algorithmen für sehr grosse Traveling Salesman Probleme (1994) (Diplomarbeit, Research Institute for Discrete Mathematics, Universität Bonn, Bonn, Germany) Google Scholar
- , Männer R., Manderick B. Parallel local search and the travelling salesman problem. Parallel Problem Solving from Nature 2 (1995) (North-Holland, Amsterdam, The Netherlands)543–552Google Scholar

