메뉴 건너뛰기




Volumn 125, Issue 1, 2010, Pages 123-137

Global optimization problems and domain reduction strategies

Author keywords

Mathematics Subject Classification (2000): 90C26

Indexed keywords

FEASIBLE REGIONS; GLOBAL OPTIMIZATION PROBLEMS; NON-CONVEX OBJECTIVE FUNCTIONS; REDUCTION STRATEGY; STANDARD DOMAINS; SUBJECT CLASSIFICATION;

EID: 77956393526     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-008-0263-4     Document Type: Article
Times cited : (37)

References (21)
  • 3
    • 77956395402 scopus 로고
    • Outlis topologiques et métriques de l'analyse mathématique
    • Centre de documentation universitaire et SEDES, Paris
    • Choquet, G.: Outlis topologiques et métriques de l'analyse mathématique. Technical Report, Centre de documentation universitaire et SEDES, Paris (1969)
    • (1969) Technical Report
    • Choquet, G.1
  • 4
    • 77956393105 scopus 로고    scopus 로고
    • The complexity of optimizing over a simplex, hypercube or sphere: A short survey
    • de Klerk, E.: The complexity of optimizing over a simplex, hypercube or sphere: a short survey. CentER Discussion Paper Series No. 2006-85 (2006)
    • (2006) CentER Discussion Paper Series No. 2006-85
    • De Klerk, E.1
  • 5
    • 0007819130 scopus 로고
    • Calculation of bounds on variables satisfying nonlinear inequality constraints
    • 0845.90105 10.1007/BF01100238 1264364
    • A.S.E. Hamed G.P. McCormick 1993 Calculation of bounds on variables satisfying nonlinear inequality constraints J. Global Optim. 3 25 47 0845.90105 10.1007/BF01100238 1264364
    • (1993) J. Global Optim. , vol.3 , pp. 25-47
    • Hamed, A.S.E.1    McCormick, G.P.2
  • 6
    • 1842802814 scopus 로고
    • An analytical approach to global optimization
    • 0747.90091 10.1007/BF01582889 1126170
    • P. Hansen B. Jaumard S.-H. Lu 1991 An analytical approach to global optimization Math. Program. 52 227 254 0747.90091 10.1007/BF01582889 1126170
    • (1991) Math. Program. , vol.52 , pp. 227-254
    • Hansen, P.1    Jaumard, B.2    Lu, S.-H.3
  • 9
    • 84867958818 scopus 로고    scopus 로고
    • Packing equal circles into a square: A deterministic global optimization approach
    • 1019.90033 10.1016/S0166-218X(01)00359-6 1907828
    • M. Locatelli U. Raber 2002 Packing equal circles into a square: a deterministic global optimization approach Discrete Appl. Math. 122 139 166 1019.90033 10.1016/S0166-218X(01)00359-6 1907828
    • (2002) Discrete Appl. Math. , vol.122 , pp. 139-166
    • Locatelli, M.1    Raber, U.2
  • 10
    • 0030871124 scopus 로고    scopus 로고
    • Global optimization in generalized geometric programming
    • 10.1016/S0098-1354(96)00282-7 1470287
    • C.D. Maranas C.A. Floudas 1997 Global optimization in generalized geometric programming Comp. Chem. Eng. 21 351 370 10.1016/S0098-1354(96)00282-7 1470287
    • (1997) Comp. Chem. Eng. , vol.21 , pp. 351-370
    • Maranas, C.D.1    Floudas, C.A.2
  • 11
    • 0000230999 scopus 로고
    • Maxima for graphs and a new proof of a theorem of Turan
    • 0129.39902 175813
    • T.S. Motzkin E.G. Straus 1965 Maxima for graphs and a new proof of a theorem of Turan Can. J. Math. 17 533 540 0129.39902 175813
    • (1965) Can. J. Math. , vol.17 , pp. 533-540
    • Motzkin, T.S.1    Straus, E.G.2
  • 12
    • 2942655185 scopus 로고    scopus 로고
    • Complete search in continuous global optimization and constraint satisfaction
    • 10.1017/CBO9780511569975.004 2249148
    • A. Neumaier 2004 Complete search in continuous global optimization and constraint satisfaction Acta Numer. 13 271 369 10.1017/CBO9780511569975.004 2249148
    • (2004) Acta Numer. , vol.13 , pp. 271-369
    • Neumaier, A.1
  • 13
    • 84972496401 scopus 로고
    • Integrals which are convex functionals
    • 0236.46031 310612
    • R.T. Rockafellar 1971 Integrals which are convex functionals Pacific J. Math. 39 439 469 0236.46031 310612
    • (1971) Pacific J. Math. , vol.39 , pp. 439-469
    • Rockafellar, R.T.1
  • 14
    • 0000635160 scopus 로고    scopus 로고
    • A branch-and-reduce approach to global optimization
    • 0856.90103 10.1007/BF00138689 1376501
    • H.S. Ryoo N.V. Sahinidis 1996 A branch-and-reduce approach to global optimization J. Global Optim. 8 107 139 0856.90103 10.1007/BF00138689 1376501
    • (1996) J. Global Optim. , vol.8 , pp. 107-139
    • Ryoo, H.S.1    Sahinidis, N.V.2
  • 15
    • 0000318768 scopus 로고    scopus 로고
    • BARON: A general purpose global optimization software package
    • 0856.90104 10.1007/BF00138693 1376505
    • N.V. Sahinidis 1996 BARON: A general purpose global optimization software package J. Global Optim. 8 201 205 0856.90104 10.1007/BF00138693 1376505
    • (1996) J. Global Optim. , vol.8 , pp. 201-205
    • Sahinidis, N.V.1
  • 16
    • 32144436355 scopus 로고    scopus 로고
    • Tight relaxations for nonconvex optimization problems using the Reformulation-Linearization/Convexification Technique (RLT)
    • P.M. Pardalos H.E. Romeijn (eds). Kluwer Dordrecht
    • Sherali H.D.: Tight relaxations for nonconvex optimization problems using the Reformulation-Linearization/Convexification Technique (RLT). In: Pardalos, P.M., Romeijn, H.E. (eds) Handbook of global optimization, vol. 2, pp. 1-64. Kluwer, Dordrecht (2002)
    • (2002) Handbook of Global Optimization, Vol. 2 , pp. 1-64
    • Sherali, H.D.1
  • 18
    • 2942665751 scopus 로고    scopus 로고
    • Global optimization of mixed-integer nonlinear programs: A theoretical and computational study
    • 1062.90041 10.1007/s10107-003-0467-6 2051712
    • M. Tawarmalani N.V. Sahinidis 2004 Global optimization of mixed-integer nonlinear programs: a theoretical and computational study Math. Program. 99 563 591 1062.90041 10.1007/s10107-003-0467-6 2051712
    • (2004) Math. Program. , vol.99 , pp. 563-591
    • Tawarmalani, M.1    Sahinidis, N.V.2
  • 19
    • 0002996592 scopus 로고
    • Complexity issues in gobal optimization: A survey
    • R. Horst P.M. Pardalos (eds). Kluwer Dordrecht
    • Vavasis S.A.: Complexity issues in gobal optimization: a survey. In: Horst, R., Pardalos, P.M. (eds) Handbook of Global Optimization, Kluwer, Dordrecht (1995)
    • (1995) Handbook of Global Optimization
    • Vavasis, S.A.1
  • 20
    • 84910500064 scopus 로고
    • On inf-compact mathematical programs
    • R.J.-B. Wets 1974 On inf-compact mathematical programs Lect. Notes Comp. Sci. 5 426 436
    • (1974) Lect. Notes Comp. Sci. , vol.5 , pp. 426-436
    • Wets, R.J.-B.1
  • 21
    • 0001197630 scopus 로고    scopus 로고
    • A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms
    • 0949.90097 10.1023/A:1008312714792 1709473
    • J.M. Zamora I.E. Grossmann 1999 A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms J. Global Optim. 14 217 249 0949.90097 10.1023/A:1008312714792 1709473
    • (1999) J. Global Optim. , vol.14 , pp. 217-249
    • Zamora, J.M.1    Grossmann, I.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.