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Volumn 16, Issue 4, 2004, Pages 863-883

An Extended Projection Neural Network for Constrained Optimization

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EID: 1542291075     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/089976604322860730     Document Type: Article
Times cited : (154)

References (32)
  • 1
    • 0026899278 scopus 로고
    • Solving inequality constrained combinatorial optimization problems by the Hopfield neural networks
    • Abe, S., Kawakami, J., & Hirasawa, K. (1992). Solving inequality constrained combinatorial optimization problems by the Hopfield neural networks. Neural Networks, 5, 663-670.
    • (1992) Neural Networks , vol.5 , pp. 663-670
    • Abe, S.1    Kawakami, J.2    Hirasawa, K.3
  • 5
    • 0003052627 scopus 로고
    • Nonlinear least p-th optimization and nonlinear programming
    • Charalambous, C. (1977). Nonlinear least p-th optimization and nonlinear programming. Mathematical Programming, 12, 195-225.
    • (1977) Mathematical Programming , vol.12 , pp. 195-225
    • Charalambous, C.1
  • 7
    • 34250084569 scopus 로고
    • Dynamical systems and variational inequalities
    • Dupuis, P., & Nagurney, A. (1993). Dynamical systems and variational inequalities. Annals of Operations Research, 44, 19-42.
    • (1993) Annals of Operations Research , vol.44 , pp. 19-42
    • Dupuis, P.1    Nagurney, A.2
  • 8
    • 0031352141 scopus 로고    scopus 로고
    • Engineering and economic applications of complementarity problems
    • Ferris, M. C., & Pang, J. S. (1997). Engineering and economic applications of complementarity problems. SIAM Review, 39, 669-713.
    • (1997) SIAM Review , vol.39 , pp. 669-713
    • Ferris, M.C.1    Pang, J.S.2
  • 10
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementary problems: A survey of theory, algorithms, and applications
    • Harker, P. T., & Pang, J. S. (1990). Finite-dimensional variational inequality and nonlinear complementary problems: A survey of theory, algorithms, and applications. Mathematical Programming, 48, 161-220.
    • (1990) Mathematical Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 11
  • 12
    • 0024880831 scopus 로고
    • Multilayer feedforward networks are universal approximators
    • Hornik, K., Stinchcombe, M., & White, H. (1989). Multilayer feedforward networks are universal approximators. Neural Networks, 2, 359-366.
    • (1989) Neural Networks , vol.2 , pp. 359-366
    • Hornik, K.1    Stinchcombe, M.2    White, H.3
  • 15
    • 0027696448 scopus 로고
    • On solving constrained optimization problems with neural networks: A penalty method approach
    • Lillo, W. E., Loh, M. H., & Hui, S. (1993). On solving constrained optimization problems with neural networks: A penalty method approach. IEEE Transactions on Neural Networks, 4, 931-940.
    • (1993) IEEE Transactions on Neural Networks , vol.4 , pp. 931-940
    • Lillo, W.E.1    Loh, M.H.2    Hui, S.3
  • 16
    • 0000915170 scopus 로고
    • Application of Khobotov's algorithm to variational inequalities and network equilibrium problems
    • Marcotte, P. (1991). Application of Khobotov's algorithm to variational inequalities and network equilibrium problems. Inform. Systems Oper, Res., 29, 258-270.
    • (1991) Inform. Systems Oper, Res. , vol.29 , pp. 258-270
    • Marcotte, P.1
  • 17
    • 0000015038 scopus 로고
    • Neural networks for optimization problems with inequality constraints: The knapsack problem
    • Ohlasson, M., Pelterson, C., & Soderberg, B. (1993). Neural networks for optimization problems with inequality constraints: The knapsack problem. Neural Computation, 5, 331-339.
    • (1993) Neural Computation , vol.5 , pp. 331-339
    • Ohlasson, M.1    Pelterson, C.2    Soderberg, B.3
  • 18
    • 0026954958 scopus 로고
    • Principal components, minor components and linear neural networks
    • Oja, E. (1992). Principal components, minor components and linear neural networks. Neural Networks, 5, 927-935.
    • (1992) Neural Networks , vol.5 , pp. 927-935
    • Oja, E.1
  • 19
    • 0002259425 scopus 로고
    • A new method for mapping optimization problems onto neural networks
    • Peterson, C., & Soderberg, B. (1989). A new method for mapping optimization problems onto neural networks. International Journal of Neural Systems, 1, 3-22.
    • (1989) International Journal of Neural Systems , vol.1 , pp. 3-22
    • Peterson, C.1    Soderberg, B.2
  • 20
    • 0001256577 scopus 로고
    • Linear programming on an electronic analogue computer
    • Pyne, I. B. (1956). Linear programming on an electronic analogue computer. Trans. Amer. Inst. Elec. Eng., 75, 139-143.
    • (1956) Trans. Amer. Inst. Elec. Eng. , vol.75 , pp. 139-143
    • Pyne, I.B.1
  • 22
    • 0000646059 scopus 로고
    • Learning internal representations by error propagation
    • D. E. Rumelhart & J. L. McClelland (Eds.). Cambridge, MA: MIT Press
    • Rumelhart, D. E., Hinton, G. E., & Williams, R. J. (1986). Learning internal representations by error propagation. In D. E. Rumelhart & J. L. McClelland (Eds.), Parallel distributed processing, (Vol. 1, pp 318-366). Cambridge, MA: MIT Press.
    • (1986) Parallel Distributed Processing , vol.1 , pp. 318-366
    • Rumelhart, D.E.1    Hinton, G.E.2    Williams, R.J.3
  • 24
    • 0034133810 scopus 로고    scopus 로고
    • On the synthesis of brain-state-in-a-box neural models with application to associative memory
    • Sevrani F., & Abe K. (2000). On the synthesis of brain-state-in-a-box neural models with application to associative memory. Neural Computation, 12, 451-472.
    • (2000) Neural Computation , vol.12 , pp. 451-472
    • Sevrani, F.1    Abe, K.2
  • 26
    • 0030243756 scopus 로고    scopus 로고
    • Modified projection-type methods for monotone variational inequalities
    • Solodov, M. V., & Tseng, P. (1996). Modified projection-type methods for monotone variational inequalities. SIAM J. Control and Optimization, 2, 1814-1830.
    • (1996) SIAM J. Control and Optimization , vol.2 , pp. 1814-1830
    • Solodov, M.V.1    Tseng, P.2
  • 27
    • 0022721216 scopus 로고
    • Simple "neural" optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit
    • Tank, D. W., & Hopfield, J. J. (1986). Simple "neural" optimization networks: An A/D converter, signal decision circuit, and a linear programming circuit, IEEE Transactions on Circuits and Systems, 33, 533-541.
    • (1986) IEEE Transactions on Circuits and Systems , vol.33 , pp. 533-541
    • Tank, D.W.1    Hopfield, J.J.2
  • 28
    • 0030106939 scopus 로고    scopus 로고
    • A new neural network for solving linear programming problems and its applications
    • Xia, Y. S. (1996a). A new neural network for solving linear programming problems and its applications. IEEE Transactions on Neural Networks, 7, 525-529
    • (1996) IEEE Transactions on Neural Networks , vol.7 , pp. 525-529
    • Xia, Y.S.1
  • 29
    • 0001201399 scopus 로고    scopus 로고
    • A new neural network for solving linear and quadratic programming problems
    • Xia, Y. S. (1996b). A new neural network for solving linear and quadratic programming problems. IEEE Transactions on Neural Networks, 7, 1544-1547.
    • (1996) IEEE Transactions on Neural Networks , vol.7 , pp. 1544-1547
    • Xia, Y.S.1
  • 30
    • 0036539447 scopus 로고    scopus 로고
    • A projection neural network and its application to constrained optimization problems
    • Xia, Y. S., Leung, H., & Wang, J. (2002). A projection neural network and its application to constrained optimization problems. IEEE Transactions on Circuits and Systems - Part I, 49, 447-458.
    • (2002) IEEE Transactions on Circuits and Systems - Part I , vol.49 , pp. 447-458
    • Xia, Y.S.1    Leung, H.2    Wang, J.3
  • 31
  • 32
    • 0026953235 scopus 로고
    • Second-order neural networks for constrained optimization
    • Zhang, S., Zhu, X., & Zou, L.-H. (1992). Second-order neural networks for constrained optimization. IEEE Transactions on Neural Networks, 3, 1021-1024.
    • (1992) IEEE Transactions on Neural Networks , vol.3 , pp. 1021-1024
    • Zhang, S.1    Zhu, X.2    Zou, L.-H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.