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Volumn 7, Issue 3, 2015, Pages 269-287

Solving the equality generalized traveling salesman problem using the Lin–Kernighan–Helsgaun Algorithm

Author keywords

Arc routing problems; E GTSP; Equality generalized traveling salesman problem; Heuristics; Lin Kernighan; Traveling salesman problem; TSP

Indexed keywords

ALGORITHMS; BENCHMARKING; NETWORK ROUTING; OPTIMIZATION;

EID: 84939215722     PISSN: 18672949     EISSN: 18672957     Source Type: Journal    
DOI: 10.1007/s12532-015-0080-8     Document Type: Article
Times cited : (100)

References (22)
  • 1
    • 0030379565 scopus 로고    scopus 로고
    • Some applications of the generalized travelling salesman problem
    • Laporte, G., Asef-Vaziri, A., Sriskandarajah, C.: Some applications of the generalized travelling salesman problem. J. Oper. Res. Soc. 47(12), 1461–1467 (1996)
    • (1996) J. Oper. Res. Soc. , vol.47 , Issue.12 , pp. 1461-1467
    • Laporte, G.1    Asef-Vaziri, A.2    Sriskandarajah, C.3
  • 2
    • 0002037506 scopus 로고
    • An efficient transformation of the generalized traveling salesman problem
    • Noon, C.E., Bean, J.C.: An efficient transformation of the generalized traveling salesman problem. INFOR 31(1), 39–44 (1993)
    • (1993) INFOR , vol.31 , Issue.1 , pp. 39-44
    • Noon, C.E.1    Bean, J.C.2
  • 3
    • 84939248643 scopus 로고    scopus 로고
    • A New efficient transformation of generalized traveling salesman problem into traveling salesman problem
    • Behzad. A., Modarres, M.: A New efficient transformation of generalized traveling salesman problem into traveling salesman problem. In: Proceedings of the 15th International Conference of Systems Engineering, ICSE (2002)
    • (2002) Proceedings of the 15th International Conference of Systems Engineering, ICSE
  • 5
    • 0032643711 scopus 로고    scopus 로고
    • Computational evaluation of a transformation procedure for the symmetric generalized traveling salesman problem
    • Laporte, G., Semet, F.: Computational evaluation of a transformation procedure for the symmetric generalized traveling salesman problem. INFOR 37(2), 114–120 (1999)
    • (1999) INFOR , vol.37 , Issue.2 , pp. 114-120
    • Laporte, G.1    Semet, F.2
  • 6
    • 84857062235 scopus 로고    scopus 로고
    • Efficient local search algorithms for known and new neighborhoods for the generalized traveling salesman problem
    • Karapetyan, D., Gutin, G.: Efficient local search algorithms for known and new neighborhoods for the generalized traveling salesman problem. Eur. J. Oper. Res. 219(2), 234–251 (2012)
    • (2012) Eur. J. Oper. Res. , vol.219 , Issue.2 , pp. 234-251
    • Karapetyan, D.1    Gutin, G.2
  • 7
    • 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. Eur. J. Oper. Res. 126(1), 106–130 (2000)
    • (2000) Eur. J. Oper. Res. , vol.126 , Issue.1 , pp. 106-130
    • Helsgaun, K.1
  • 8
    • 77249150676 scopus 로고    scopus 로고
    • General k-opt submoves for the Lin–Kernighan TSP heuristic
    • Helsgaun, K.: General $$k$$k-opt submoves for the Lin–Kernighan TSP heuristic. Math. Prog. Comput. 1(2–3), 119–163 (2009)
    • (2009) Math. Prog. Comput. , vol.1 , Issue.2-3 , pp. 119-163
    • Helsgaun, K.1
  • 9
    • 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(2), 498–516 (1973)
    • (1973) Oper. Res. , vol.21 , Issue.2 , pp. 498-516
    • Lin, S.1    Kernighan, B.W.2
  • 10
    • 0026225350 scopus 로고
    • TSPLIB—a traveling salesman problem library
    • Reinelt, G.: TSPLIB—a traveling salesman problem library. ORSA J. Comput. 3(4), 376–384 (1991)
    • (1991) ORSA J. Comput. , vol.3 , Issue.4 , pp. 376-384
    • Reinelt, G.1
  • 11
    • 0031144089 scopus 로고    scopus 로고
    • A branch-and-cut algorithm for the symmetric generalized traveling salesman problem
    • Fischetti, M., Salazar González, J.J., Toth, P.: A branch-and-cut algorithm for the symmetric generalized traveling salesman problem. Oper. Res. 45(3), 378–394 (1997)
    • (1997) Oper. Res. , vol.45 , Issue.3 , pp. 378-394
    • Fischetti, M.1    Salazar González, J.J.2    Toth, P.3
  • 14
    • 84939250414 scopus 로고    scopus 로고
    • Accessed 24 Apr 2015
    • National traveling salesman problems. http://www.math.uwaterloo.ca/tsp/world/countries.html. Accessed 24 Apr 2015
  • 15
    • 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(6), 1138–1162 (1970)
    • (1970) Oper. Res. , vol.18 , Issue.6 , pp. 1138-1162
    • Held, M.1    Karp, R.M.2
  • 16
    • 77949912268 scopus 로고    scopus 로고
    • A memetic algorithm for the generalized traveling salesman problem
    • Gutin, G., Karapetyan, D.: A memetic algorithm for the generalized traveling salesman problem. Nat. Comput. 9(1), 47–60 (2010)
    • (2010) Nat. Comput. , vol.9 , Issue.1 , pp. 47-60
    • Gutin, G.1    Karapetyan, D.2
  • 17
    • 78549271426 scopus 로고    scopus 로고
    • Lin–Kernighan heuristic adaptations for the generalized traveling salesman problem
    • Karapetyan, D., Gutin, G.: Lin–Kernighan heuristic adaptations for the generalized traveling salesman problem. Eur. J. Oper. Res. 208(3), 221–232 (2011)
    • (2011) Eur. J. Oper. Res. , vol.208 , Issue.3 , pp. 221-232
    • Karapetyan, D.1    Gutin, G.2
  • 18
    • 0042744917 scopus 로고    scopus 로고
    • Exact solution of the generalized routing problem through graph transformations
    • Blais, M., Laporte, G.: Exact solution of the generalized routing problem through graph transformations. J. Oper. Res. Soc. 54(8), 906–910 (2003)
    • (2003) J. Oper. Res. Soc. , vol.54 , Issue.8 , pp. 906-910
    • Blais, M.1    Laporte, G.2
  • 21
    • 84904636587 scopus 로고    scopus 로고
    • On the generalized directed rural postman problem. J. Oper. Res
    • Drexl, M.: On the generalized directed rural postman problem. J. Oper. Res. Soc. (2013). doi:10.1057/jors.2013.60
    • (2013) Soc
    • Drexl, M.1
  • 22
    • 79955741056 scopus 로고    scopus 로고
    • Generalized traveling salesman problem reduction algorithms
    • Karapetyan, D., Gutin, G.: Generalized traveling salesman problem reduction algorithms. Algorithm Oper. Res. 4, 144–154 (2009)
    • (2009) Algorithm Oper. Res. , vol.4 , pp. 144-154
    • Karapetyan, D.1    Gutin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.