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Volumn 16, Issue 10, 2003, Pages 1499-1525

The co-adaptive neural network approach to the Euclidean Travelling Salesman Problem

Author keywords

Co Adaptive Net algorithm; Euclidean Travelling Salesman Problem; Self Organising NN

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; MECHANISMS; TRAVELING SALESMAN PROBLEM;

EID: 0242662140     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(03)00056-X     Document Type: Review
Times cited : (86)

References (57)
  • 2
    • 0034176888 scopus 로고    scopus 로고
    • Fast, efficient and accurate solutions to the hamiltonian path problem using neural approaches
    • Altinel I.K., Aras N., Oommen B.J. Fast, efficient and accurate solutions to the hamiltonian path problem using neural approaches. Computers and Operations Research. 27:2000;461-494.
    • (2000) Computers and Operations Research , vol.27 , pp. 461-494
    • Altinel, I.K.1    Aras, N.2    Oommen, B.J.3
  • 3
    • 34249766770 scopus 로고
    • A self-organised travelling salesman
    • Amin S. A self-organised travelling salesman. Neural Computing and Applications. 2:1994;129-133.
    • (1994) Neural Computing and Applications , vol.2 , pp. 129-133
    • Amin, S.1
  • 7
    • 0032853386 scopus 로고    scopus 로고
    • The Kohonen network incorporating explicit statistics and its application to the travelling salesman problem
    • Aras N., Oommen B.J., Altinel I.K. The Kohonen network incorporating explicit statistics and its application to the travelling salesman problem. Neural Networks. 12:1999;1273-1284.
    • (1999) Neural Networks , vol.12 , pp. 1273-1284
    • Aras, N.1    Oommen, B.J.2    Altinel, I.K.3
  • 9
    • 0030584162 scopus 로고    scopus 로고
    • A self-organizing neural network for the traveling salesman problem that is competitive with simulated annealing
    • Budinich M. A self-organizing neural network for the traveling salesman problem that is competitive with simulated annealing. Neural Computation. 8:1996;416-424.
    • (1996) Neural Computation , vol.8 , pp. 416-424
    • Budinich, M.1
  • 11
    • 0028272636 scopus 로고
    • Neural methods for the traveling salesman problem: Insights from operations research
    • Burke L.I. Neural methods for the traveling salesman problem: insights from operations research. Neural Networks. 7:1994;681-690.
    • (1994) Neural Networks , vol.7 , pp. 681-690
    • Burke, L.I.1
  • 12
    • 0030082682 scopus 로고    scopus 로고
    • Conscientious neural nets for tour construction in the traveling salesman problem: The Vigilant net
    • Burke L. Conscientious neural nets for tour construction in the traveling salesman problem: the Vigilant net. Computers and Operations Research. 23:1996;121-129.
    • (1996) Computers and Operations Research , vol.23 , pp. 121-129
    • Burke, L.1
  • 18
    • 0000155356 scopus 로고
    • An analysis of the elastic net approach to the traveling salesman problem
    • Durbin R., Szeliski R., Yuille A. An analysis of the elastic net approach to the traveling salesman problem. Neural Computation. 1:1989;348-358.
    • (1989) Neural Computation , vol.1 , pp. 348-358
    • Durbin, R.1    Szeliski, R.2    Yuille, A.3
  • 19
    • 0023657610 scopus 로고
    • An analogue approach to the travelling salesman problem using an elastic net method
    • Durbin R., Willshaw D. An analogue approach to the travelling salesman problem using an elastic net method. Nature. 326:1987;689-691.
    • (1987) Nature , vol.326 , pp. 689-691
    • Durbin, R.1    Willshaw, D.2
  • 20
    • 0001633383 scopus 로고
    • A study of the application of Kohonen-type neural networks to the travelling salesman problem
    • Favata F., Walker R. A study of the application of Kohonen-type neural networks to the travelling salesman problem. Biological Cybernetics. 64:1991;463-468.
    • (1991) Biological Cybernetics , vol.64 , pp. 463-468
    • Favata, F.1    Walker, R.2
  • 21
    • 0023707894 scopus 로고
    • Solving a combinatorial problem via self-organizing process: An application of the Kohonen algorithm to the traveling salesman problem
    • Fort J.C. Solving a combinatorial problem via self-organizing process: an application of the Kohonen algorithm to the traveling salesman problem. Biological Cybernetics. 59:1988;33-40.
    • (1988) Biological Cybernetics , vol.59 , pp. 33-40
    • Fort, J.C.1
  • 24
    • 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. European Journal of Operational Research. 126:2000;106-130.
    • (2000) European Journal of Operational Research , vol.126 , pp. 106-130
    • Helsgaun, K.1
  • 25
    • 0010266113 scopus 로고
    • Neural networks and combinatorial optimization: A study of np-complete graph problems
    • E. Gelenbe. Amsterdam: North-Holland
    • Hérault L., Niez J.-J. Neural networks and combinatorial optimization: a study of np-complete graph problems. Gelenbe E. Neural networks: Advances and applications. 1991;164-213 North-Holland, Amsterdam.
    • (1991) Neural networks: Advances and applications , pp. 164-213
    • Hérault, L.1    Niez, J.-J.2
  • 26
    • 0021835689 scopus 로고
    • Neural computation of decisions in optimization problems
    • Hopfield J.J., Tank D.W. Neural computation of decisions in optimization problems. Biological Cybernetics. 52:1985;141-152.
    • (1985) Biological Cybernetics , vol.52 , pp. 141-152
    • Hopfield, J.J.1    Tank, D.W.2
  • 28
    • 0013061165 scopus 로고    scopus 로고
    • Experimental analysis of heuristics for the STSP
    • G. Gutin, & A. Punnen. Dordrecht: Kluwer Academic Publishers. Draft version (2001) currently available from
    • Johnson D.S., McGeoch L.A. Experimental analysis of heuristics for the STSP. Gutin G., Punnen A. Traveling salesman problem and its variations. 2001;Kluwer Academic Publishers, Dordrecht. Draft version (2001) currently available from http://www.research.att.com/∼dsj/papers/stspchap.ps.
    • (2001) Traveling Salesman Problem and its Variations
    • Johnson, D.S.1    Mcgeoch, L.A.2
  • 32
    • 0020068152 scopus 로고
    • Self-organized formation of topologically correct feature maps
    • Kohonen T. Self-organized formation of topologically correct feature maps. Biological Cybernetics. 43:1982;59-69.
    • (1982) Biological Cybernetics , vol.43 , pp. 59-69
    • Kohonen, T.1
  • 35
    • 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. Operations Research. 21:1973;498-516.
    • (1973) Operations Research , vol.21 , pp. 498-516
    • Lin, S.1    Kernighan, B.W.2
  • 36
    • 0026852716 scopus 로고
    • Neural network methods in combinatorial optimization
    • Looi C.-K. Neural network methods in combinatorial optimization. Computers and Operations Research. 19:1992;191-208.
    • (1992) Computers and Operations Research , vol.19 , pp. 191-208
    • Looi, C.-K.1
  • 38
    • 0026743862 scopus 로고
    • Self-organizing neural networks and various euclidean traveling salesman problems
    • Matsuyama Y. Self-organizing neural networks and various euclidean traveling salesman problems. Systems and Computers in Japan. 2:1992;101-112.
    • (1992) Systems and Computers in Japan , vol.2 , pp. 101-112
    • Matsuyama, Y.1
  • 42
    • 0030273682 scopus 로고    scopus 로고
    • An investigation into the improvement of local minima of the Hopfield network
    • Peng M., Gupta N.K., Armitage A.F. An investigation into the improvement of local minima of the Hopfield network. Neural Networks. 9:1996;1241-1253.
    • (1996) Neural Networks , vol.9 , pp. 1241-1253
    • Peng, M.1    Gupta, N.K.2    Armitage, A.F.3
  • 43
    • 0000511953 scopus 로고
    • Parallel distributed approaches to combinatorial optimization: Benchmark studies on traveling salesman problem
    • Peterson C. Parallel distributed approaches to combinatorial optimization: benchmark studies on traveling salesman problem. Neural Computation. 2:1990;261-269.
    • (1990) Neural Computation , vol.2 , pp. 261-269
    • Peterson, C.1
  • 44
    • 0001693878 scopus 로고
    • The traveling salesman problem: A neural network perspective
    • Potvin J.-Y. The traveling salesman problem: a neural network perspective. ORSA Journal on Computing. 5:1993;328-348.
    • (1993) ORSA Journal on Computing , vol.5 , pp. 328-348
    • Potvin, J.-Y.1
  • 46
    • 0026225350 scopus 로고
    • TSPLIB - A traveling salesman problem library
    • Reinelt G. TSPLIB - A traveling salesman problem library. ORSA Journal on Computing. 3:1991;376-384.
    • (1991) ORSA Journal on Computing , vol.3 , pp. 376-384
    • Reinelt, G.1
  • 48
    • 0000365380 scopus 로고
    • Parameter sensitivity of the elastic net approach to the traveling salesman problem
    • Simmen M.W. Parameter sensitivity of the elastic net approach to the traveling salesman problem. Neural Computation. 3:1991;363-374.
    • (1991) Neural Computation , vol.3 , pp. 363-374
    • Simmen, M.W.1
  • 49
    • 0002381070 scopus 로고    scopus 로고
    • Neural networks for combinatorial optimization: A review of more than a decade of research
    • Smith K.A. Neural networks for combinatorial optimization: a review of more than a decade of research. INFORMS Journal on Computing. 11:1999;15-34.
    • (1999) INFORMS Journal on Computing , vol.11 , pp. 15-34
    • Smith, K.A.1
  • 52
    • 0027540270 scopus 로고
    • A hybrid neural network model for solving optimization problems
    • Sun K.T., Fu H.C. A hybrid neural network model for solving optimization problems. IEEE Transactions on Computers. 42:1993;218-227.
    • (1993) IEEE Transactions on Computers , vol.42 , pp. 218-227
    • Sun, K.T.1    Fu, H.C.2
  • 53
    • 0029362493 scopus 로고
    • A hierarchical strategy for solving traveling salesman problems using elastic nets
    • Vakhutinsky A.I., Golden B.L. A hierarchical strategy for solving traveling salesman problems using elastic nets. Journal of Heuristics. 1:1995;67-76.
    • (1995) Journal of Heuristics , vol.1 , pp. 67-76
    • Vakhutinsky, A.I.1    Golden, B.L.2
  • 54
    • 0023673835 scopus 로고
    • On the stability of the travelling salesman problem algorithm of Hopfield and Tank
    • Wilson G.V., Pawley G.S. On the stability of the travelling salesman problem algorithm of Hopfield and Tank. Biological Cybernetics. 58:1988;63-70.
    • (1988) Biological Cybernetics , vol.58 , pp. 63-70
    • Wilson, G.V.1    Pawley, G.S.2
  • 56
    • 0012127913 scopus 로고    scopus 로고
    • Hopfield-tank traveling salesman problem model
    • Wolfe W.J., Fuzzy A. Hopfield-tank traveling salesman problem model. INFORMS Journal on Computing. 11:1999;329-344.
    • (1999) INFORMS Journal on Computing , vol.11 , pp. 329-344
    • Wolfe, W.J.1    Fuzzy, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.