메뉴 건너뛰기




Volumn 106, Issue 2, 2006, Pages 287-318

New interval methods for constrained global optimization

Author keywords

Adaptive multisection; Computational study; Global optimization; Inequality constrained problems; Interval analysis; Subinterval selection criterion

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; HEURISTIC METHODS; PROBLEM SOLVING;

EID: 31744444019     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-005-0607-2     Document Type: Article
Times cited : (37)

References (43)
  • 1
    • 0030410178 scopus 로고    scopus 로고
    • New results on verified global optimization
    • Berner, S.: New results on verified global optimization. Computing 57, 323-343 (1996)
    • (1996) Computing , vol.57 , pp. 323-343
    • Berner, S.1
  • 3
    • 0012743875 scopus 로고    scopus 로고
    • New load balancing criterion for a parallel interval global optimization algorithms
    • Garmisch-Partenkirchen, Germany
    • Casado, L.G., García T.: New load balancing criterion for a parallel interval global optimization algorithms, Proceedings of the 16th IASTED International Conference, Garmisch-Partenkirchen, Germany, 1998, pp. 321-323
    • (1998) Proceedings of the 16th IASTED International Conference , pp. 321-323
    • Casado, L.G.1    García, T.2
  • 4
    • 0012703717 scopus 로고    scopus 로고
    • A new multisection technique in interval methods for global optimization
    • Casado, L.G., García, I., Csendes, T.: A new multisection technique in interval methods for global optimization. Computing 65, 263-269 (2000)
    • (2000) Computing , vol.65 , pp. 263-269
    • Casado, L.G.1    García, I.2    Csendes, T.3
  • 5
    • 0042318562 scopus 로고    scopus 로고
    • A heuristic rejection criterion in interval global optimization algorithms
    • Casado, L.G., García, I., Csendes, T.: A heuristic rejection criterion in interval global optimization algorithms. BIT 41, 683-692 (2001)
    • (2001) BIT , vol.41 , pp. 683-692
    • Casado, L.G.1    García, I.2    Csendes, T.3
  • 6
    • 0035270395 scopus 로고    scopus 로고
    • Experimenting with a new selection criterion in a fast interval optimization algorithm
    • Casado, L.G., Martínez, J.A., García, L: Experimenting with a new selection criterion in a fast interval optimization algorithm. J. Global Optimization 19, 247-264 (2001)
    • (2001) J. Global Optimization , vol.19 , pp. 247-264
    • Casado, L.G.1    Martínez, J.A.2    García, L.3
  • 7
    • 0003634342 scopus 로고
    • Global optimization in separation network synthesis
    • Csallner, A.E.: Global optimization in separation network synthesis. Hungarian J. Industrial Chemistry 21, 303-308 (1993)
    • (1993) Hungarian J. Industrial Chemistry , vol.21 , pp. 303-308
    • Csallner, A.E.1
  • 8
    • 0003708365 scopus 로고    scopus 로고
    • On the convergence speed of interval methods for global optimization
    • Csallner, A.E., Csendes, T.: On the convergence speed of interval methods for global optimization. Computers, Mathematics and Applications 31, 173-178 (1996)
    • (1996) Computers, Mathematics and Applications , vol.31 , pp. 173-178
    • Csallner, A.E.1    Csendes, T.2
  • 9
    • 0002600066 scopus 로고    scopus 로고
    • Multisection in interval branch-and-bound methods for global optimization I. Theoretical results
    • Csallner, A.E., Csendes, T., Markót, M.Cs. : Multisection in interval branch-and-bound methods for global optimization I. Theoretical results. J. Global Optimization 16, 371-392 (2000)
    • (2000) J. Global Optimization , vol.16 , pp. 371-392
    • Csallner, A.E.1    Csendes, T.2    Markót, M.Cs.3
  • 10
    • 0042134248 scopus 로고    scopus 로고
    • Optimization methods for process network synthesis - A case study
    • Christer Carlsson, Inger Eriksson (eds.), Abo Academy, Turku
    • Csendes, T.: Optimization methods for process network synthesis - a case study. In: Christer Carlsson, Inger Eriksson (eds.), Global and multiple criteria optimization and information systems quality, Abo Academy, Turku, 1998, pp. 113-132
    • (1998) Global and Multiple Criteria Optimization and Information Systems Quality , pp. 113-132
    • Csendes, T.1
  • 11
    • 0035269665 scopus 로고    scopus 로고
    • New subinterval selection criteria for interval global optimization
    • Csendes, T.: New subinterval selection criteria for interval global optimization. J. Global Optimization 19, 307-327 (2001)
    • (2001) J. Global Optimization , vol.19 , pp. 307-327
    • Csendes, T.1
  • 12
    • 31744445147 scopus 로고    scopus 로고
    • A posteriori direction selection rules for interval optimization methods
    • Csendes, T., Klatte, R., Ratz, D.: A posteriori direction selection rules for interval optimization methods. Central European J. Oper. Res. 8, 225-236 (2000)
    • (2000) Central European J. Oper. Res. , vol.8 , pp. 225-236
    • Csendes, T.1    Klatte, R.2    Ratz, D.3
  • 13
    • 0027556475 scopus 로고
    • The impact of accelerating tools on the interval subdivision algorithm for global optimization
    • Csendes, T., Pintér, J.: The impact of accelerating tools on the interval subdivision algorithm for global optimization. European J. Oper. Res. 65, 314-320 (1993)
    • (1993) European J. Oper. Res. , vol.65 , pp. 314-320
    • Csendes, T.1    Pintér, J.2
  • 14
    • 21344446574 scopus 로고    scopus 로고
    • A review of subdivision direction selection in interval methods for global optimization
    • Csendes, T., Ratz, D.: A review of subdivision direction selection in interval methods for global optimization. ZAMM 76, 319-322 (1996)
    • (1996) ZAMM , vol.76 , pp. 319-322
    • Csendes, T.1    Ratz, D.2
  • 15
    • 0000064119 scopus 로고    scopus 로고
    • Subdivision direction selection in interval methods for global optimization
    • Csendes, T., Ratz, D.: Subdivision direction selection in interval methods for global optimization. SIAM J. Numerical Analysis 34, 922-938 (1997)
    • (1997) SIAM J. Numerical Analysis , vol.34 , pp. 922-938
    • Csendes, T.1    Ratz, D.2
  • 17
    • 16744366975 scopus 로고    scopus 로고
    • A continuous location model for siting a non-noxious undesirable facility within a geographical region
    • Fernández, J., Fernández, P., Pelegrín, B.: A continuous location model for siting a non-noxious undesirable facility within a geographical region. European J. Operational Res. 121, 259-274 (2000)
    • (2000) European J. Operational Res. , vol.121 , pp. 259-274
    • Fernández, J.1    Fernández, P.2    Pelegrín, B.3
  • 19
    • 18044404411 scopus 로고    scopus 로고
    • Using interval analysis for solving planar single-facility location problems: New discarding tests
    • Fernández, J., Pelegrin, B.: Using interval analysis for solving planar single-facility location problems: new discarding tests. J. Global Optimization 19, 61-81 (2001)
    • (2001) J. Global Optimization , vol.19 , pp. 61-81
    • Fernández, J.1    Pelegrin, B.2
  • 20
    • 31744442422 scopus 로고    scopus 로고
    • Praktische realisierung und test eines verifikationsverfahrens zur lösung globaler optimierungsprobleme mit ungleichungsnebenbedingungen, forschungsschwerpunkt computerarithmetik, intervallrechnung und numerische algorithmen mit ergebnisverifikation
    • Goos, A., Ratz, D.: Praktische Realisierung und Test eines Verifikationsverfahrens zur Lösung globaler Optimierungsprobleme mit Ungleichungsnebenbedingungen, Forschungsschwerpunkt Computerarithmetik, Intervallrechnung und Numerische Algorithmen mit Ergebnisverifikation, technical report (available at http://www.uni-karlsruhe.de/~iam/html/reports.html), 1997
    • (1997) Technical Report
    • Goos, A.1    Ratz, D.2
  • 22
    • 33751433220 scopus 로고
    • Global optimization using interval analysis - The multidimensional case
    • Hansen, E.: Global optimization using interval analysis - the multidimensional case. Numerische Mathematik 34, 247-270 (1980)
    • (1980) Numerische Mathematik , vol.34 , pp. 247-270
    • Hansen, E.1
  • 28
    • 0008640574 scopus 로고    scopus 로고
    • Test results for an interval branch and bound algorithm for equality-constrained optimization
    • Kluwer, Dordrecht
    • Kearfott, R.B.: Test results for an interval branch and bound algorithm for equality-constrained optimization, in: State of the art in global optimization, Kluwer, Dordrecht, pp. 181-199, 1996
    • (1996) State of the Art in Global Optimization , pp. 181-199
    • Kearfott, R.B.1
  • 29
    • 0347487689 scopus 로고    scopus 로고
    • On verifying feasibility in equality constrained optimization problems
    • Kearfott, R.B.: On verifying feasibility in equality constrained optimization problems, technical report (available at http://interval.louisiana. edu/preprints.html), 1996
    • (1996) Technical Report
    • Kearfott, R.B.1
  • 30
    • 0002640708 scopus 로고    scopus 로고
    • On proving existence of feasible points in equality constrained optimization problems
    • Kearfott, R.B.: On proving existence of feasible points in equality constrained optimization problems. Math. Program. 83, 89-100 (1998)
    • (1998) Math. Program. , vol.83 , pp. 89-100
    • Kearfott, R.B.1
  • 32
    • 0001292188 scopus 로고
    • PROFIL/BIAS - A fast interval library
    • Knüppel, O.: PROFIL/BIAS - a fast interval library. Computing 53, 277-287 (1994)
    • (1994) Computing , vol.53 , pp. 277-287
    • Knüppel, O.1
  • 34
    • 10044292820 scopus 로고    scopus 로고
    • An interval method to validate optimal solutions of the "packing circles in a unit square" problems
    • Markót, M.Cs.: An interval method to validate optimal solutions of the "packing circles in a unit square" problems. Central European J. Oper. Res. 8, 63-78 (2000)
    • (2000) Central European J. Oper. Res. , vol.8 , pp. 63-78
    • Markót, M.Cs.1
  • 35
    • 0012758721 scopus 로고    scopus 로고
    • Multisection in interval branch-and-bound methods for global optimization. II. Numerical tests
    • Markót, M.Cs., Csendes, T., Csallner, A.E.: Multisection in interval branch-and-bound methods for global optimization. II. Numerical tests. J. Global Optimization 16, 219-228 (2000)
    • (2000) J. Global Optimization , vol.16 , pp. 219-228
    • Markót, M.Cs.1    Csendes, T.2    Csallner, A.E.3
  • 38
    • 10044223151 scopus 로고
    • Experiments using interval analysis for solving a circuit design problem
    • Ratschek, H., Rokne, J.: Experiments using interval analysis for solving a circuit design problem. J. Global Optimization 3, 501-518 (1993)
    • (1993) J. Global Optimization , vol.3 , pp. 501-518
    • Ratschek, H.1    Rokne, J.2
  • 39
    • 0042752627 scopus 로고
    • What can interval analysis do for global optimization'?
    • Ratschek, H., Voller, R.L.: What can interval analysis do for global optimization'?. J. Global Optimization 1, 111-130 (1991)
    • (1991) J. Global Optimization , vol.1 , pp. 111-130
    • Ratschek, H.1    Voller, R.L.2
  • 40
    • 0010456554 scopus 로고
    • Box-splitting strategies for the interval Gauss-Seidel step in a global optimization method
    • Ratz, D.: Box-splitting strategies for the interval Gauss-Seidel step in a global optimization method. Computing 53, 337-353 (1994)
    • (1994) Computing , vol.53 , pp. 337-353
    • Ratz, D.1
  • 41
    • 0346226752 scopus 로고    scopus 로고
    • On branching rules in second-order branch-and-bound methods for global optimization
    • G. Alefeld, A. Frommer, B. Lang (eds.), Akademie-Verlag, Berlin
    • Ratz, D.: On branching rules in second-order branch-and-bound methods for global optimization. In: G. Alefeld, A. Frommer, B. Lang (eds.), Scientific computing and validated numerics, Akademie-Verlag, Berlin, 1996, pp. 221-227
    • (1996) Scientific Computing and Validated Numerics , pp. 221-227
    • Ratz, D.1
  • 42
    • 0000607541 scopus 로고
    • On the selection of subdivision directions in interval branch-and-bound methods for global optimization
    • Ratz, D., Csendes, T.: On the selection of subdivision directions in interval branch-and-bound methods for global optimization. J. Global Optimization 7, 183-207 (1995)
    • (1995) J. Global Optimization , vol.7 , pp. 183-207
    • Ratz, D.1    Csendes, T.2
  • 43
    • 0028516178 scopus 로고
    • Global optimization of nonconvex nonlinear programs via interval analysis
    • Vaidyanathan, R., El-Halwagi, M.: Global optimization of nonconvex nonlinear programs via interval analysis. Computers & Chemical Engineering 18, 889-897 (1994)
    • (1994) Computers & Chemical Engineering , vol.18 , pp. 889-897
    • Vaidyanathan, R.1    El-Halwagi, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.