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Volumn 79, Issue 1-3, 1997, Pages 99-123

Interactions between nonlinear programming and modeling systems

Author keywords

Model definition; Modeling systems; Nonlinear programming; Preprocessing

Indexed keywords


EID: 0002877434     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02614313     Document Type: Article
Times cited : (6)

References (34)
  • 4
    • 30244462468 scopus 로고
    • Manual from the Computing Center, University of Wisconsin
    • L. de Bever, ed., TSP at University of Wisconsin (Manual from the Computing Center, University of Wisconsin, 1977).
    • (1977) TSP at University of Wisconsin
    • De Bever, L.1
  • 5
  • 6
    • 0010309993 scopus 로고
    • On the development of a general algebraic modeling system in a strategic planning environment
    • J. Bisschop and A. Meeraus, On the development of a general algebraic modeling system in a strategic planning environment, Mathematical Programming Study 20 (1982) 1-29.
    • (1982) Mathematical Programming Study , vol.20 , pp. 1-29
    • Bisschop, J.1    Meeraus, A.2
  • 8
    • 0016472959 scopus 로고
    • Analysis of Mathematical programming problems prior to applying the Simplex method
    • A.L. Brearley, G. Mitra and H.P. Williams, Analysis of Mathematical programming problems prior to applying the Simplex method, Mathematical Programming 8 (1975) 54-83.
    • (1975) Mathematical Programming , vol.8 , pp. 54-83
    • Brearley, A.L.1    Mitra, G.2    Williams, H.P.3
  • 10
    • 3843134365 scopus 로고
    • High level modeling systems and nonlinear programming
    • , P.T. Boggs, R.H. Byrd and R.B. Schnabel, eds., SIAM, Philadelphia, PA
    • A. Brooke, A. Drud and A. Meeraus, High level modeling systems and nonlinear programming, in:, P.T. Boggs, R.H. Byrd and R.B. Schnabel, eds., Numerical Optimization 1984 (SIAM, Philadelphia, PA, 1985).
    • (1985) Numerical Optimization 1984
    • Brooke, A.1    Drud, A.2    Meeraus, A.3
  • 11
    • 0026126376 scopus 로고
    • Locating minimal infeasible constraint sets in linear programs
    • J.W. Chinneck and E.W. Dravnieks, Locating minimal infeasible constraint sets in linear programs, ORSA Journal on Computing 3 (1991) 157-168.
    • (1991) ORSA Journal on Computing , vol.3 , pp. 157-168
    • Chinneck, J.W.1    Dravnieks, E.W.2
  • 12
    • 0003141840 scopus 로고
    • LANCELOT, a Fortran package for large-scale nonlinear optimization (Release A)
    • Springer, Berlin
    • A.R. Conn, N.I.M. Gould and P.L. Toint, LANCELOT, a Fortran package for large-scale nonlinear optimization (Release A), Computational Mathematics, Vol. 17 (Springer, Berlin, 1992).
    • (1992) Computational Mathematics , vol.17
    • Conn, A.R.1    Gould, N.I.M.2    Toint, P.L.3
  • 13
    • 0029423693 scopus 로고
    • The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems
    • S.P. Dirkse and M.C. Ferris, The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems, Optimization Methods and Software 5 (1995) 123-156.
    • (1995) Optimization Methods and Software , vol.5 , pp. 123-156
    • Dirkse, S.P.1    Ferris, M.C.2
  • 14
    • 3142526531 scopus 로고
    • Interfacing modeling systems and solution algorithms
    • A. Drud, Interfacing modeling systems and solution algorithms, Journal of Economic Dynamics and Control 5 (1983) 131-149.
    • (1983) Journal of Economic Dynamics and Control , vol.5 , pp. 131-149
    • Drud, A.1
  • 15
    • 0000930401 scopus 로고
    • CONOPT - A large scale GRG code
    • A.S. Drud, CONOPT - A large scale GRG code, ORSA Journal on Computing 6 (1994) 207-216.
    • (1994) ORSA Journal on Computing , vol.6 , pp. 207-216
    • Drud, A.S.1
  • 17
    • 0022902024 scopus 로고
    • An outer-approximation algorithm for a class of mixed-integer nonlinear programs
    • M.A. Duran and I.E. Grossmann, An outer-approximation algorithm for a class of mixed-integer nonlinear programs, Mathematical Programming 36 (1986) 307-339.
    • (1986) Mathematical Programming , vol.36 , pp. 307-339
    • Duran, M.A.1    Grossmann, I.E.2
  • 19
    • 0020767250 scopus 로고
    • Modeling languages versus matrix generators for linear programming
    • R. Fourer, Modeling languages versus matrix generators for linear programming, ACM Transactions on Mathematical Software 9 (1983) 143-183.
    • (1983) ACM Transactions on Mathematical Software , vol.9 , pp. 143-183
    • Fourer, R.1
  • 20
    • 0004034517 scopus 로고    scopus 로고
    • GAMS Development Corporation, Washington, DC
    • GAMS - The Solver Manuals (GAMS Development Corporation, Washington, DC, 1996).
    • (1996) GAMS - The Solver Manuals
  • 21
    • 30244491763 scopus 로고    scopus 로고
    • More AD of nonlinear AMPL models: Computing hessian information and exploiting partial separability
    • M. Berz, C. Bischof, C. Corliss and A. Griewank, SIAM, Philadelphia, PA
    • D.M. Gay, More AD of Nonlinear AMPL Models: Computing Hessian Information and Exploiting Partial Separability, in: M. Berz, C. Bischof, C. Corliss and A. Griewank, Computational Differentiation, Techniques, Applications and Tools (SIAM, Philadelphia, PA, 1996).
    • (1996) Computational Differentiation, Techniques, Applications and Tools
    • Gay, D.M.1
  • 24
    • 0030168036 scopus 로고    scopus 로고
    • Algorithm 755: ADOL-C: A package for the automatic differentiation of algorithms written in C/C++
    • A. Griewank, D. Juedes and J. Utke, Algorithm 755: ADOL-C: A package for the automatic differentiation of algorithms written in C/C++, ACM Transactions on Mathematical Software 22 (1996) 131-167.
    • (1996) ACM Transactions on Mathematical Software , vol.22 , pp. 131-167
    • Griewank, A.1    Juedes, D.2    Utke, J.3
  • 27
    • 0001662422 scopus 로고
    • Interior point methods for linear programming: Computational state of the art
    • I.J. Lustig, R.E. Marsten and D.F. Shanno, Interior point methods for linear programming: Computational state of the art, ORSA Journal on Computing 6 (1994) 1-14.
    • (1994) ORSA Journal on Computing , vol.6 , pp. 1-14
    • Lustig, I.J.1    Marsten, R.E.2    Shanno, D.F.3
  • 28
    • 34250381644 scopus 로고
    • Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems
    • G.P. McCormick, Computability of global solutions to factorable nonconvex programs: Part I - Convex underestimating problems, Mathematical Programming 10 (1976) 147-175.
    • (1976) Mathematical Programming , vol.10 , pp. 147-175
    • McCormick, G.P.1
  • 29
    • 0004293209 scopus 로고
    • Prentice Hall, Englewood Cliffs, NJ
    • R. Moore, Interval Analysis (Prentice Hall, Englewood Cliffs, NJ, 1966).
    • (1966) Interval Analysis
    • Moore, R.1
  • 30
    • 0002121465 scopus 로고
    • A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints
    • B.A. Murtagh and M.A. Saunders, A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints, Mathematical Programming Study 16 (1982) 84-117.
    • (1982) Mathematical Programming Study , vol.16 , pp. 84-117
    • Murtagh, B.A.1    Saunders, M.A.2
  • 32
    • 0000635160 scopus 로고    scopus 로고
    • A branch-and-reduce approach to global optimization
    • H.S. Ryoo and N.V. Sahinidis, A branch-and-reduce approach to global optimization, Journal of Global Optimization 8 (1996) 107-139.
    • (1996) Journal of Global Optimization , vol.8 , pp. 107-139
    • Ryoo, H.S.1    Sahinidis, N.V.2
  • 33
    • 0000318768 scopus 로고    scopus 로고
    • BARON: A general purpose global optimization software package
    • N.V. Sahinidis, BARON: A general purpose global optimization software package, Journal of Global Optimization 8 (1996) 201-205.
    • (1996) Journal of Global Optimization , vol.8 , pp. 201-205
    • Sahinidis, N.V.1
  • 34
    • 0025459923 scopus 로고
    • A combined penalty function and outer approximation method for MINLP optimization
    • J. Viswanathan and I.E. Grossman, A combined penalty function and outer approximation method for MINLP optimization, Computers and Chemical Engineering 14 (1990) 769-782.
    • (1990) Computers and Chemical Engineering , vol.14 , pp. 769-782
    • Viswanathan, J.1    Grossman, I.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.