메뉴 건너뛰기




Volumn 47, Issue 3, 2010, Pages 485-501

D(C)-optimization and robust global optimization

Author keywords

Approximate optimal solution; D(C) optimization; DC optimization; Dm (monotonic) optimization; Essential optimal solution; Nonconvex global optimization; Robust approach; Successive incumbent transcending algorithm

Indexed keywords

APPROXIMATE OPTIMAL SOLUTION; DC OPTIMIZATION; EXISTING METHOD; FEASIBLE SET; GLOBAL OPTIMIZATION PROBLEMS; MONOTONIC OPTIMIZATION; NON-CONVEX GLOBAL OPTIMIZATION; NONCONVEX; OPTIMAL SOLUTIONS; OPTIMIZATION PROBLEMS; ROBUST GLOBAL OPTIMIZATION; ROBUST SOLUTIONS;

EID: 77954761486     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-009-9475-2     Document Type: Article
Times cited : (19)

References (15)
  • 1
    • 0001280939 scopus 로고    scopus 로고
    • A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
    • Audet, C., Hansen, P., Jaumard, B., Savard, G.: A branch and cut algorithm for nonconvex quadratically constrained quadratic programming. Math. Progr. Ser. A 87, 131-152 (2000)
    • (2000) Math. Progr. Ser. a , vol.87 , pp. 131-152
    • Audet, C.1    Hansen, P.2    Jaumard, B.3    Savard, G.4
  • 3
    • 0035238864 scopus 로고    scopus 로고
    • Global optimization with polynomials and the problem of moments
    • Lasserre, J.: Global optimization with polynomials and the problem of moments. SIAM J. Optim. 11, 796-817 (2001)
    • (2001) SIAM J. Optim , vol.11 , pp. 796-817
    • Lasserre, J.1
  • 5
    • 0009062110 scopus 로고
    • On a reciprocity principle
    • Tikhonov, A. N.: On a reciprocity principle. Sov. Math. Dokl. 22, 100-103 (1980)
    • (1980) Sov. Math. Dokl , vol.22 , pp. 100-103
    • Tikhonov, A.N.1
  • 6
    • 0023311198 scopus 로고
    • Convex programs with an additional reverse convex constraint
    • Tuy, H.: Convex programs with an additional reverse convex constraint. J. Optim. Theory Appl. 52, 463-486 (1987)
    • (1987) J. Optim. Theory Appl. , vol.52 , pp. 463-486
    • Tuy, H.1
  • 8
    • 0034353741 scopus 로고    scopus 로고
    • Monotonic optimization: Problems and solution approaches
    • Tuy, H.: Monotonic optimization: problems and solution approaches. SIAM J. Optim. 11 (2), 464-494 (2000)
    • (2000) SIAM J. Optim , vol.11 , Issue.2 , pp. 464-494
    • Tuy, H.1
  • 9
    • 77954762323 scopus 로고    scopus 로고
    • A unified monotonic approach to generalized linear fractional programming
    • Tuy, H., Hoai Phuong, N. T.: A unified monotonic approach to generalized linear fractional programming. J. Glob. Optim. 23, 1-31 (2002)
    • (2002) J. Glob. Optim , vol.23 , pp. 1-31
    • Tuy, H.1    Phuong, H.N.T.2
  • 10
    • 3142667587 scopus 로고    scopus 로고
    • Optimization of polynomial fractional functions
    • Tuy, H., Thach, P. T., Konno, H.: Optimization of polynomial fractional functions. J. Glob. Optim. 29, 19-44 (2004)
    • (2004) J. Glob. Optim , vol.29 , pp. 19-44
    • Tuy, H.1    Thach, P.T.2    Konno, H.3
  • 11
    • 84889991947 scopus 로고    scopus 로고
    • Monotonic optimization: Branch and cut methods
    • Audet, C., Hansen, P., Savard, G, Springer, Berlin
    • Tuy, H., Al-Khayyal, F., Thach, P. T.: Monotonic optimization: branch and cut methods. In: Audet, C., Hansen, P., Savard, G. Essays and Surveys on Global Optimization, Springer, Berlin, pp. 39-78 (2005)
    • (2005) Essays and Surveys on Global Optimization , pp. 39-78
    • Tuy, H.1    Al-Khayyal, F.2    Thach, P.T.3
  • 12
    • 25444450643 scopus 로고    scopus 로고
    • Robust solution of nonconvex global optimization problems
    • DOI 10.1007/s10898-004-2707-6
    • Tuy, H.: Robust solution of nonconvex global optimization problems. J. Glob. Optim. 32, 307-323 (2005) (Pubitemid 41367550)
    • (2005) Journal of Global Optimization , vol.32 , Issue.2 , pp. 307-323
    • Tuy, H.1
  • 13
    • 33847252722 scopus 로고    scopus 로고
    • Polynomial optimization: A robust approach
    • Tuy, H.: Polynomial optimization: a robust approach. Pac. J. Optim. 1, 357-374 (2005)
    • (2005) Pac. J. Optim , vol.1 , pp. 357-374
    • Tuy, H.1
  • 14
    • 33847126154 scopus 로고    scopus 로고
    • Discrete monotonic optimization with application to a discrete location problem
    • Tuy, H., Minoux, M., Hoai-Phuong, N. T.: Discrete monotonic optimization with application to a discrete location problem. SIAM J. Optim. 17, 78-97 (2006)
    • (2006) SIAM J. Optim , vol.17 , pp. 78-97
    • Tuy, H.1    Minoux, M.2    Hoai-Phuong, N.T.3
  • 15
    • 33847323552 scopus 로고    scopus 로고
    • A robust algorithm for quadratic optimization under quadratic constraints
    • Tuy, H., Hoai-Phuong, N. T.: A robust algorithm for quadratic optimization under quadratic constraints. J. Glob. Optim. 37, 557-569 (2007)
    • (2007) J. Glob. Optim , vol.37 , pp. 557-569
    • Tuy, H.1    Hoai-Phuong, N.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.