메뉴 건너뛰기




Volumn 1, Issue 2-3, 2009, Pages 119-163

General k-opt submoves for the Lin-Kernighan TSP heuristic

Author keywords

K opt; Lin Kernighan; Traveling salesman problem; TSP

Indexed keywords

EUCLIDEAN INSTANCES; FREE OF CHARGE; K-OPT; LIN-KERNIGHAN; LOCAL SEARCH; PROBLEM SIZE; SOURCE CODES; TSP;

EID: 77249150676     PISSN: 18672949     EISSN: 18672957     Source Type: Journal    
DOI: 10.1007/s12532-009-0004-6     Document Type: Article
Times cited : (332)

References (34)
  • 2
    • 0007953251 scopus 로고    scopus 로고
    • Finding tours in the TSP
    • Forschungsinstitut für Diskrete Mathematik, Universität Bonn
    • Applegate, D., Bixby R., Chvátal V., Cook W.: Finding tours in the TSP. Technical Report 99885, Forschungsinstitut für Diskrete Mathematik, Universität Bonn (1999)
    • (1999) Technical Report 99885
    • Applegate, D.1    Bixby, R.2    Chvátal, V.3    Cook, W.4
  • 3
    • 6344229094 scopus 로고    scopus 로고
    • Implementing the Dantzig-Fulkerson-Johnson algorithm for large traveling salesman problems
    • Applegate, D., Bixby, R., Chvátal, V., Cook, W.: Implementing the Dantzig-Fulkerson-Johnson algorithm for large traveling salesman problems. Math. Prog. 97, 91-153 (2003)
    • (2003) Math. Prog. , vol.97 , pp. 91-153
    • Applegate, D.1    Bixby, R.2    Chvátal, V.3    Cook, W.4
  • 4
    • 2442515836 scopus 로고    scopus 로고
    • Chained Lin-Kernighan for large traveling salesman problems
    • Applegate, D., Cook, W., Rohe, A.: Chained Lin-Kernighan for large traveling salesman problems. INFORMS J. Comput. 15, 82-92 (2003)
    • (2003) INFORMS J. Comput. , vol.15 , pp. 82-92
    • Applegate, D.1    Cook, W.2    Rohe, A.3
  • 5
    • 84956970575 scopus 로고    scopus 로고
    • A very elementary presentation of the Hannenhalli-Pevzner theory
    • Bergeron, A.: A very elementary presentation of the Hannenhalli-Pevzner theory. LNCS 2089, 106-117 (2001)
    • (2001) LNCS , vol.2089 , pp. 106-117
    • Bergeron, A.1
  • 8
    • 0342934405 scopus 로고
    • Algorithms for large-scale traveling salesman problems
    • Christofides, N., Eilon, S.: Algorithms for large-scale traveling salesman problems. Oper. Res. Quart. 23, 511-518 (1972)
    • (1972) Oper. Res. Quart. , vol.23 , pp. 511-518
    • Christofides, N.1    Eilon, S.2
  • 10
    • 24344437669 scopus 로고    scopus 로고
    • Local search for vehicle routing and scheduling problems: Review and conceptual integration
    • Funke, B., Grünert, T., Irnich, S.: Local search for vehicle routing and scheduling problems: review and conceptual integration. J. Heuristics 11, 267-306 (2005)
    • (2005) J. Heuristics , vol.11 , pp. 267-306
    • Funke, B.1    Grünert, T.2    Irnich, S.3
  • 12
    • 0000188093 scopus 로고
    • Some combinatorial aspects of the spectra of normally distributed random matrices
    • Hanlon, P.J., Stanley, R.P., Stembridge, J.R.: Some combinatorial aspects of the spectra of normally distributed random matrices. Contemp. Math. 138, 151-174 (1992)
    • (1992) Contemp. Math. , vol.138 , pp. 151-174
    • Hanlon, P.J.1    Stanley, R.P.2    Stembridge, J.R.3
  • 14
    • 0001050402 scopus 로고
    • The traveling-salesman problem and minimum spanning trees
    • Held, M., Karp, R.M.: The traveling-salesman problem and minimum spanning trees. Oper. Res. 18, 1138-1162 (1970)
    • (1970) Oper. Res. , vol.18 , pp. 1138-1162
    • Held, M.1    Karp, R.M.2
  • 15
    • 34250461535 scopus 로고
    • The traveling-salesman problem and minimum spanning trees: Part II
    • Held, M., Karp, R.M.: The traveling-salesman problem and minimum spanning trees: Part II. Math. Prog. 1, 6-25 (1971)
    • (1971) Math. Prog. , vol.1 , pp. 6-25
    • Held, M.1    Karp, R.M.2
  • 16
    • 0034301999 scopus 로고    scopus 로고
    • An effective implementation of the Lin-Kernighan traveling salesman heuristic
    • Helsgaun, K.: An effective implementation of the Lin-Kernighan traveling salesman heuristic. EJOR 12, 106-130 (2000)
    • (2000) EJOR , vol.12 , pp. 106-130
    • Helsgaun, K.1
  • 18
    • 85031901109 scopus 로고
    • Local optimization and the traveling salesman problem
    • Johnson, D.S.: Local optimization and the traveling salesman problem. LNCS 442, 446-461 (1990)
    • (1990) LNCS , vol.442 , pp. 446-461
    • Johnson, D.S.1
  • 20
    • 0001193147 scopus 로고    scopus 로고
    • The traveling salesman problem: A case study in local optimization
    • In: Aarts, E.H.L., Lenstra, J.K. (eds.), Wiley, New York
    • Johnson, D.S., McGeoch, L.A.: The traveling salesman problem: a case study in local optimization. In: Aarts, E.H.L., Lenstra, J.K. (eds.) Local Search in Combinatorial Optimization, pp. 215-310. Wiley, New York (1997)
    • (1997) Local Search in Combinatorial Optimization , pp. 215-310
    • Johnson, D.S.1    McGeoch, L.A.2
  • 25
    • 0015604699 scopus 로고
    • An effective heuristic algorithm for the traveling-salesman problem
    • Lin, S., Kernighan, B. W.: An effective heuristic algorithm for the traveling-salesman problem. Oper. Res. 21, 498-516 (1973)
    • (1973) Oper. Res. , vol.21 , pp. 498-516
    • Lin, S.1    Kernighan, B.W.2
  • 26
    • 0342934401 scopus 로고
    • Distances between traveling salesman tours
    • Mak, K.T., Morton, A.J.: Distances between traveling salesman tours. Discret. Appl. Math. 58, 281-291 (1995)
    • (1995) Discret. Appl. Math. , vol.58 , pp. 281-291
    • Mak, K.T.1    Morton, A.J.2
  • 27
    • 0001463650 scopus 로고
    • Large-step Markov chains for the TSP incorporating local search heuristics
    • Martin, O., Otto, S.W., Felten, E.W.: Large-step Markov chains for the TSP incorporating local search heuristics. Oper. Res. Lett. 11, 219-224 (1992)
    • (1992) Oper. Res. Lett. , vol.11 , pp. 219-224
    • Martin, O.1    Otto, S.W.2    Felten, E.W.3
  • 28
    • 21244499847 scopus 로고    scopus 로고
    • An analysis of random restart and iterated improvement for global optimization with an application to the traveling salesman problem
    • Mendivil, D., Shonkwiler, R., Spruill, M.C.: An analysis of random restart and iterated improvement for global optimization with an application to the traveling salesman problem. J. Optim. Theory Appl. 124(4), 407-433 (2005)
    • (2005) J. Optim. Theory Appl. , vol.124 , Issue.4 , pp. 407-433
    • Mendivil, D.1    Shonkwiler, R.2    Spruill, M.C.3
  • 29
    • 4244113499 scopus 로고    scopus 로고
    • Combinatorial optimization by iterative partial transcription
    • Möbius, A., Freisleben, B., Merz, P., Schreiber, M.: Combinatorial optimization by iterative partial transcription. Phys. Rev. E 59(4), 4667-4674 (1999)
    • (1999) Phys. Rev. E , vol.59 , Issue.4 , pp. 4667-4674
    • Möbius, A.1    Freisleben, B.2    Merz, P.3    Schreiber, M.4
  • 32
    • 34548109646 scopus 로고    scopus 로고
    • Sorting by reversals in subquadratic time
    • l'INRIA
    • Tannier, E., Sagot, M.: Sorting by reversals in subquadratic time. Rapport de recherche No 5097, l'INRIA (2004)
    • (2004) Rapport de recherche No , vol.5097
    • Tannier, E.1    Sagot, M.2
  • 34
    • 33749002709 scopus 로고    scopus 로고
    • A Novel Local Search Algorithm for the Traveling Salesman Problem that Exploits Backbones
    • Zhang, W., Looks, M.: A Novel Local Search Algorithm for the Traveling Salesman Problem that Exploits Backbones. IJCAI 2005, pp. 343-350 (2005)
    • (2005) IJCAI , vol.2005 , pp. 343-350
    • Zhang, W.1    Looks, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.