메뉴 건너뛰기




Volumn 53, Issue 6, 2006, Pages 1353-1362

Improving local minima of columnar competitive model for TSPs

Author keywords

Columnar competitive model (CCM); Hopfield network; Local minima; Optimization; Traveling salesman problem (TSP)

Indexed keywords

ALGORITHMS; OPTIMAL SYSTEMS; PROBLEM SOLVING; TRAVELING SALESMAN PROBLEM;

EID: 33747052078     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2006.874180     Document Type: Article
Times cited : (16)

References (22)
  • 1
    • 0021835689 scopus 로고
    • ""Neural" computation of decisions in optimization problems"
    • J. J. Hopfield and D. W. Tank, ""Neural" computation of decisions in optimization problems," Biol. Cybern., vol. 52, pp. 141-152, 1985.
    • (1985) Biol. Cybern. , vol.52 , pp. 141-152
    • Hopfield, J.J.1    Tank, D.W.2
  • 2
    • 0022721216 scopus 로고
    • "Simple "neural" optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit"
    • May
    • D. W. Tank and J. J. Hofield, "Simple "neural" optimization networks: an A/D converter, signal decision circuit, and a linear programming circuit," IEEE Trans. Circuits Syst., vol. CAS-33, no. 5, May 1986.
    • (1986) IEEE Trans. Circuits Syst. , vol.CAS-33 , Issue.5
    • Tank, D.W.1    Hofield, J.J.2
  • 3
    • 0023673835 scopus 로고
    • "On the stability of the travelling salesman problem algorithm of Hopfield and Tank"
    • G. W. Wilson and G. S. Pawley, "On the stability of the travelling salesman problem algorithm of Hopfield and Tank," Biol. Cybern., vol. 58, pp. 63-70, 1988.
    • (1988) Biol. Cybern. , vol.58 , pp. 63-70
    • Wilson, G.W.1    Pawley, G.S.2
  • 4
    • 0025303743 scopus 로고
    • "On the problem solving with Hopfield neural networks"
    • B. Kanmgar-Parsi and B. Kamgar-Parsi, "On the problem solving with Hopfield neural networks," Biol. Cybern., vol. 62, pp. 415-423, 1990.
    • (1990) Biol. Cybern. , vol.62 , pp. 415-423
    • Kanmgar-Parsi, B.1    Kamgar-Parsi, B.2
  • 5
    • 0035989163 scopus 로고    scopus 로고
    • "Parameter setting of the Hopfield network applied to TSP"
    • P. M. Talavan and Yanez, "Parameter setting of the Hopfield network applied to TSP" Neural Netw., vol. 15, pp. 363-373, 2002.
    • (2002) Neural Netw. , vol.15 , pp. 363-373
    • Talavan, P.M.1    Yanez2
  • 6
    • 0025445490 scopus 로고
    • "A theoretical investigation into the performance of the Hopfield model"
    • Jun
    • S. V. B. Aiyer, M. Niranjan, and F. Fallside, "A theoretical investigation into the performance of the Hopfield model," IEEE Trans. Neural Netw., vol. 1, pp. 204-215, Jun. 1990.
    • (1990) IEEE Trans. Neural Netw. , vol.1 , pp. 204-215
    • Aiyer, S.V.B.1    Niranjan, M.2    Fallside, F.3
  • 7
    • 0027585803 scopus 로고
    • "Global convergence and suppression of spurious states of the Hopfield neural networks"
    • Apr
    • S. Abe, "Global convergence and suppression of spurious states of the Hopfield neural networks," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 40, no. 4, pp. 246-257, Apr. 1993.
    • (1993) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.40 , Issue.4 , pp. 246-257
    • Abe, S.1
  • 8
    • 0002381070 scopus 로고    scopus 로고
    • "Neural networks for combinatorial optimization: A review of more than a decade of research"
    • K. A. Smith, "Neural networks for combinatorial optimization: A review of more than a decade of research," INFORMS J. Comput., vol. 11, no. 1, pp. 15-34, 1999.
    • (1999) INFORMS J. Comput. , vol.11 , Issue.1 , pp. 15-34
    • Smith, K.A.1
  • 9
    • 20144376397 scopus 로고    scopus 로고
    • "On parameter settings of Hopfield networks applied to traveling salesman problems"
    • May
    • K. C. Tan, H. Tang, and S. S. Ge, "On parameter settings of Hopfield networks applied to traveling salesman problems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 5, pp. 994-1002, May 2005.
    • (2005) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.52 , Issue.5 , pp. 994-1002
    • Tan, K.C.1    Tang, H.2    Ge, S.S.3
  • 10
    • 9244240298 scopus 로고    scopus 로고
    • "A columnar competitive model for solving combinatorial optimization problems"
    • Jun
    • H. J. Tang, K. C. Tang, and Z. Yi, "A columnar competitive model for solving combinatorial optimization problems," IEEE Trans. Neural Netw., vol. 15, no. 6, pp. 1568-1574, Jun. 2004.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , Issue.6 , pp. 1568-1574
    • Tang, H.J.1    Tang, K.C.2    Yi, Z.3
  • 11
    • 0344194652 scopus 로고
    • "An artificial maximum neural network: A winner-take-all neuron model forcing the state of the system in a solution domain"
    • Y. Takefuji, K. C. Lee, and H. Aiso, "An artificial maximum neural network: A winner-take-all neuron model forcing the state of the system in a solution domain," Biol. Cybern., vol. 67, no. 3, pp. 243-251, 1992.
    • (1992) Biol. Cybern. , vol.67 , Issue.3 , pp. 243-251
    • Takefuji, Y.1    Lee, K.C.2    Aiso, H.3
  • 12
    • 0028824103 scopus 로고
    • "Chaotic simulated annealing by a neural network model with transient chaos"
    • L. Chen and K. Aihara, "Chaotic simulated annealing by a neural network model with transient chaos," Neural Netw., vol. 8, no. 6, pp. 915-930, 1995.
    • (1995) Neural Netw. , vol.8 , Issue.6 , pp. 915-930
    • Chen, L.1    Aihara, K.2
  • 13
    • 0036196161 scopus 로고    scopus 로고
    • "Solving large scale traveling problems by choatic neurodynamics"
    • M. Hasegawa, T. Lkeguchi, and K. Aihara, "Solving large scale traveling problems by choatic neurodynamics," Neural Netw., vol. 15, pp. 271-385, 2002.
    • (2002) Neural Netw. , vol.15 , pp. 271-385
    • Hasegawa, M.1    Lkeguchi, T.2    Aihara, K.3
  • 14
    • 0032121571 scopus 로고    scopus 로고
    • "On chaotic simulated annealing"
    • Jul
    • L. Wang and K. Smith, "On chaotic simulated annealing," IEEE Trans. Neural Netw., vol. 9, no. 4, pp. 716-718, Jul. 1998.
    • (1998) IEEE Trans. Neural Netw. , vol.9 , Issue.4 , pp. 716-718
    • Wang, L.1    Smith, K.2
  • 15
    • 0030273682 scopus 로고    scopus 로고
    • "An investigation into the improvement of local minimum of the Hopfield networks"
    • M. Peng, K. Narendra, and A. Gupta, "An investigation into the improvement of local minimum of the Hopfield networks," Neural Netw., vol. 9, pp. 1241-1253, 1996.
    • (1996) Neural Netw. , vol.9 , pp. 1241-1253
    • Peng, M.1    Narendra, K.2    Gupta, A.3
  • 16
    • 0001311451 scopus 로고    scopus 로고
    • "Improved exploration in Hopfield network state-space through parameter perturbation driven by simulated annealing"
    • G. Papageorgiou, A. Likas, and A. Stalylopatis, "Improved exploration in Hopfield network state-space through parameter perturbation driven by simulated annealing," Eur. J. Oper., vol. 108, pp. 283-292, 1998.
    • (1998) Eur. J. Oper. , vol.108 , pp. 283-292
    • Papageorgiou, G.1    Likas, A.2    Stalylopatis, A.3
  • 17
    • 0343729373 scopus 로고    scopus 로고
    • "Improved local minima of Hopfield networks with augmented Lagrange multipliers for large scale TSPs"
    • M. Martin-Valdivia, A. Ruiz-Sepulveda, and F. Triguero-Ruiz, "Improved local minima of Hopfield networks with augmented Lagrange multipliers for large scale TSPs," Neural Netw. Lett., vol. 13, pp. 283-283, 2000.
    • (2000) Neural Netw. Lett. , vol.13 , pp. 283
    • Martin-Valdivia, M.1    Ruiz-Sepulveda, A.2    Triguero-Ruiz, F.3
  • 19
    • 0023673835 scopus 로고
    • "On the stability of the TSP problems algorithm of Hopfield and Tank"
    • V. Wilson and G. S. Pawley, "On the stability of the TSP problems algorithm of Hopfield and Tank," Bio. Cybern., vol. 58, pp. 63-70, 1988.
    • (1988) Bio. Cybern. , vol.58 , pp. 63-70
    • Wilson, V.1    Pawley, G.S.2
  • 20
    • 0024122469 scopus 로고    scopus 로고
    • "Alternative networks for solving the traveling salesman problem and the list-matching problem"
    • R. D. Brandt, Y. Wang, A. J. Laub, and S. K. Mitra, "Alternative networks for solving the traveling salesman problem and the list-matching problem," in Proc. Int. Joint Conf. Neural Netw., 1998, vol. 2, pp. 333-340.
    • (1998) Proc. Int. Joint Conf. Neural Netw. , vol.2 , pp. 333-340
    • Brandt, R.D.1    Wang, Y.2    Laub, A.J.3    Mitra, S.K.4
  • 21
    • 0027634779 scopus 로고
    • "Performance and fault-tolerance of neural networks for optimization"
    • Jul
    • P. W. Protzel, D. L. Palumbo, and M. K. Arras, "Performance and fault-tolerance of neural networks for optimization," IEEE Trans. Neural Netw., vol. 4, no. 4, pp. 600-614, Jul. 1994.
    • (1994) IEEE Trans. Neural Netw. , vol.4 , Issue.4 , pp. 600-614
    • Protzel, P.W.1    Palumbo, D.L.2    Arras, M.K.3
  • 22
    • 0026225350 scopus 로고
    • "TSPLIB - A traveling salesman problem library"
    • G. Reinelt, "TSPLIB - a traveling salesman problem library," ORSA J. Comput., vol. 3, pp. 376-384, 1991.
    • (1991) ORSA J. Comput. , vol.3 , pp. 376-384
    • Reinelt, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.