메뉴 건너뛰기




Volumn 6, Issue 3, 2005, Pages 361-381

Lagrangian coordination and analytical target cascading: Solving ATC-decomposed problems with Lagrangian duality

Author keywords

Analytical target cascading; Dual methods; Hierarchical mathematical programming; Lagrangian duality; Large scale systems; Subgradient optimization

Indexed keywords


EID: 25144501257     PISSN: 13894420     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11081-005-1744-4     Document Type: Article
Times cited : (55)

References (30)
  • 1
    • 0006700868 scopus 로고
    • Decentralization and computation in resource allocation
    • R.W. Pfouts (ed.) University of North Carolina Press Chapel Hill, NC
    • K.J. Arrow and L. Hurwicz 1963 Decentralization and computation in resource allocation in: R.W. Pfouts (ed.) Essays in Economics and Econometrics University of North Carolina Press Chapel Hill, NC
    • (1963) Essays in Economics and Econometrics
    • Arrow, K.J.1    Hurwicz, L.2
  • 4
    • 0017957046 scopus 로고
    • "Optimization by decomposition and coordination: A unified approach"
    • 10.1109/TAC.1978.1101718
    • G. Cohen, "Optimization by decomposition and coordination: A unified approach," IEEE Transactions on Automatic Control, vol. AC-23, no. 2, pp. 222-232, 1978. 10.1109/TAC.1978.1101718
    • (1978) IEEE Transactions on Automatic Control , vol.AC-23 , Issue.2 , pp. 222-232
    • Cohen, G.1
  • 5
    • 34250257862 scopus 로고
    • "Auxiliary problem principle and decomposition of optimization problems"
    • 10.1007/BF00934554
    • G. Cohen, "Auxiliary problem principle and decomposition of optimization problems," Journal of Optimization Theory and Applications, vol. 32, pp. 277-305, 1980. 10.1007/BF00934554
    • (1980) Journal of Optimization Theory and Applications , vol.32 , pp. 277-305
    • Cohen, G.1
  • 6
    • 0000703172 scopus 로고
    • "Generalized Lagrangian multiplier method for solving problems of optimum allocation of resources"
    • H. Everett, "Generalized Lagrangian multiplier method for solving problems of optimum allocation of resources," Operations Research, vol. 11, pp. 399-417, 1963.
    • (1963) Operations Research , vol.11 , pp. 399-417
    • Everett, H.1
  • 7
    • 0041611188 scopus 로고
    • "Lagrange multipliers and nonlinear programming"
    • 10.1016/0022-247X(67)90028-5
    • J.E. Falk, "Lagrange multipliers and nonlinear programming," Journal of Mathematical Analysis and Applications vol. 19, pp. 141-159, 1967. 10.1016/0022-247X(67)90028-5
    • (1967) Journal of Mathematical Analysis and Applications , vol.19 , pp. 141-159
    • Falk, J.E.1
  • 9
    • 0004190550 scopus 로고    scopus 로고
    • "Target cascading in optimal system design"
    • Ph.D. Thesis, The University of Michigan, Ann Arbor, MI
    • H.M. Kim, "Target cascading in optimal system design," Ph.D. Thesis, The University of Michigan, Ann Arbor, MI, 2001
    • (2001)
    • Kim, H.M.1
  • 11
    • 0141619355 scopus 로고    scopus 로고
    • "Analytical target cascading in automotive vehicle design"
    • 10.1115/1.1586308
    • H.M. Kim, D.G. Rideout, P.Y. Papalambros, and J.L. Stein, "Analytical target cascading in automotive vehicle design," Journal of Mechanical Design vol. 125, pp. 481-489, 2003. 10.1115/ 1.1586308
    • (2003) Journal of Mechanical Design , vol.125 , pp. 481-489
    • Kim, H.M.1    Rideout, D.G.2    Papalambros, P.Y.3    Stein, J.L.4
  • 13
    • 25144475916 scopus 로고
    • "Decomposition of a large nonlinear convex separable economic system in the dual direction"
    • T. Kronsjo, "Decomposition of a large nonlinear convex separable economic system in the dual direction," Economics of Planning vol. 9, pp. 71-94, 1969a
    • (1969) Economics of Planning , vol.9 , pp. 71-94
    • Kronsjo, T.1
  • 14
    • 25144434912 scopus 로고
    • "Decomposition of a nonlinear convex separable economic system in primal and dual directions"
    • R. Fletcher (ed.) Academic Press London
    • T. Kronsjo 1969b "Decomposition of a nonlinear convex separable economic system in primal and dual directions" in: R. Fletcher (ed.) Optimization Academic Press London 85-97
    • (1969) Optimization , pp. 85-97
    • Kronsjo, T.1
  • 15
    • 25144476209 scopus 로고
    • "A multi-level technique for optimization"
    • Ph.D. Thesis, Case Institute of Technology
    • L.S. Lasdon, "A multi-level technique for optimization," Ph.D. Thesis, Case Institute of Technology, 1964
    • (1964)
    • Lasdon, L.S.1
  • 19
    • 25144459452 scopus 로고
    • "Mathematical programming for optimal design"
    • November
    • L.S. Lasdon and A.D. Waren, "Mathematical programming for optimal design," Electro-Technology, pp. 53-71, November 1967.
    • (1967) Electro-Technology , pp. 53-71
    • Lasdon, L.S.1    Waren, A.D.2
  • 23
    • 0033164563 scopus 로고    scopus 로고
    • "Hierarchical overlapping coordination for large-scale optimization by decomposition"
    • N. Michelena, P. Papalambros, H.A. Park, and D. Kulkarni, "Hierarchical overlapping coordination for large-scale optimization by decomposition," AIAA Journal vol. 37, no. 7, pp. 890-896, 1999
    • (1999) AIAA Journal , vol.37 , Issue.7 , pp. 890-896
    • Michelena, N.1    Papalambros, P.2    Park, H.A.3    Kulkarni, D.4
  • 24
    • 0037603375 scopus 로고    scopus 로고
    • "Convergence properties of analytical target cascading"
    • N. Michelena, H. Park, and P.Y. Papalambros, "Convergence properties of analytical target cascading," AIAA Journal, vol. 41, no. 5, pp. 897-905, 2003.
    • (2003) AIAA Journal , vol.41 , Issue.5 , pp. 897-905
    • Michelena, N.1    Park, H.2    Papalambros, P.Y.3
  • 25
    • 0035270492 scopus 로고    scopus 로고
    • "Convergence criteria for hierarchical overlapping coordination of linearly constrained convex design problems"
    • 10.1023/A:1011289304202
    • H. Park, N. Michelena, D. Kulkarni, and P. Papalmbros, "Convergence criteria for hierarchical overlapping coordination of linearly constrained convex design problems," Computational Optimization and Applications vol. 18, pp. 273-293, 2001. 10.1023/A:1011289304202
    • (2001) Computational Optimization and Applications , vol.18 , pp. 273-293
    • Park, H.1    Michelena, N.2    Kulkarni, D.3    Papalmbros, P.4
  • 26
    • 0000686629 scopus 로고
    • "A general method of solving extremum problems"
    • B.T. Poljak, "A general method of solving extremum problems" Soviet Math. Dokl. vol. 8, pp. 593-597, 1967
    • (1967) Soviet Math. Dokl. , vol.8 , pp. 593-597
    • Poljak, B.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.