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Volumn 7, Issue 4, 2010, Pages 437-463

DrAmpl: A meta solver for optimization problem analysis

Author keywords

AMPL modeling language; Convexity assessment; Directed acyclic graph; Optimization model; Solver recommendation; Structural model analysis

Indexed keywords


EID: 77956436605     PISSN: 1619697X     EISSN: 16196988     Source Type: Journal    
DOI: 10.1007/s10287-009-0101-z     Document Type: Article
Times cited : (9)

References (27)
  • 1
    • 0016037231 scopus 로고
    • Computational graphs and rounding error
    • Bauer FL (1974) Computational graphs and rounding error. SIAM J Numer Anal 11(1): 87-96.
    • (1974) SIAM J Numer Anal , vol.11 , Issue.1 , pp. 87-96
    • Bauer, F.L.1
  • 3
    • 0001130234 scopus 로고    scopus 로고
    • A trust region method based on interior point techniques for nonlinear programming
    • Byrd RH, Gilbert J-Ch, Nocedal J (2000) A trust region method based on interior point techniques for nonlinear programming. Math Program Ser A 89(1): 149-185.
    • (2000) Math Program Ser A , vol.89 , Issue.1 , pp. 149-185
    • Byrd, R.H.1    Gilbert, J.-C.2    Nocedal, J.3
  • 4
    • 33646718636 scopus 로고    scopus 로고
    • On the convergence of successive linear-quadratic programming algorithms
    • Byrd RH, Gould NIM, Nocedal J, Waltz RA (2006) On the convergence of successive linear-quadratic programming algorithms. SIAM J Optim 16(2): 471-489.
    • (2006) SIAM J Optim , vol.16 , Issue.2 , pp. 471-489
    • Byrd, R.H.1    Gould, N.I.M.2    Nocedal, J.3    Waltz, R.A.4
  • 5
    • 0035561844 scopus 로고    scopus 로고
    • Analyzing mathematical programs using MProbe
    • Chinneck J (2001) Analyzing mathematical programs using MProbe. Ann Oper Res 104: 33-48.
    • (2001) Ann Oper Res , vol.104 , pp. 33-48
    • Chinneck, J.1
  • 6
    • 77956437906 scopus 로고    scopus 로고
    • Conn AR, Gould NIM, Toint PL (1992) LANCELOT, a Fortran package for large-scale nonlinear optimization (Release A). Number 17 in Springer Series in Computational Mathematics. Springer-Verlag, New York.
  • 8
    • 77956446597 scopus 로고    scopus 로고
    • Dolan E (2001) The NEOS server 4. 0 administrative guide. Technical Memorandum ANL/MCS-TM-250, The Mathematical and Computer Science Division, Argonne National Laboratory, Argonne, IL.
  • 9
    • 77956432372 scopus 로고    scopus 로고
    • Dolan ED, Moré JJ (2001a) Benchmarking optimization software with COPS. Technical Report ANL/MCS-246, Argonne National Laboratory.
  • 11
    • 0042354662 scopus 로고    scopus 로고
    • On the global convergence of trust-region SQP-filter algorithms for general nonlinear programming
    • Fletcher R, Gould NIM, Leyffer S, Toint PL, Wächter A (2002) On the global convergence of trust-region SQP-filter algorithms for general nonlinear programming. SIAM J Optim 13(2): 635-659.
    • (2002) SIAM J Optim , vol.13 , Issue.2 , pp. 635-659
    • Fletcher, R.1    Gould, N.I.M.2    Leyffer, S.3    Toint, P.L.4    Wächter, A.5
  • 12
    • 77956446261 scopus 로고    scopus 로고
    • Fourer R, Gay DM, Kernighan BW (2002) AMPL: a modeling language for mathematical programming, 2nd edn. Duxbury Press.
  • 13
    • 77949398720 scopus 로고    scopus 로고
    • Fourer R, Maheshwari C, Neumaier A, Orban D, Schichl H (2009) Convexity and concavity detection in computational graphs: tree walks for convexity proving. INFORMS J Comput. doi: 10. 1287/ijoc. 1090. 0321 (Published online ahead of print).
  • 15
    • 77956426322 scopus 로고    scopus 로고
    • Gay DM (1996a) Automatically finding and exploiting partially separable structure in nonlinear programming problems. Numerical Analysis Manuscript. AT& T Bell Laboratories.
  • 16
    • 30244491763 scopus 로고    scopus 로고
    • More AD of nonlinear AMPL models: computing Hessian information and exploiting partial separability
    • G. Corliss, M. Berz, C. Bischof, and A. Griewank (Eds.), Philadelphia: SIAM
    • Gay DM (1996) More AD of nonlinear AMPL models: computing Hessian information and exploiting partial separability. In: Corliss G, Berz M, Bischof C, Griewank A (eds) Computational differentiation: techniques, applications and tools. SIAM, Philadelphia, pp 173-184.
    • (1996) Computational Differentiation: Techniques, Applications and Tools , pp. 173-184
    • Gay, D.M.1
  • 17
    • 0003704256 scopus 로고    scopus 로고
    • Technical Report 97-4-06. Lucent Technologies Bell Labs Innovations, Murray Hill, NJ
    • Gay DM (1997) Hooking your solver to AMPL. Technical Report 97-4-06. Lucent Technologies Bell Labs Innovations, Murray Hill, NJ. http://www. ampl. com/REFS/HOOKING.
    • (1997) Hooking your solver to AMPL
    • Gay, D.M.1
  • 18
    • 77956446941 scopus 로고    scopus 로고
    • Gill P, Murray W, Saunders M (1997) User's guide for SNOPT 5. 3: a Fortran package for large-scale nonlinear programming. Regents of the University of California, Board of Trustees of Stanford University.
  • 19
    • 0033437435 scopus 로고    scopus 로고
    • Solving the trust-region subproblem using the Lanczos method
    • Gould NIM, Lucidi S, Roma M, Toint PL (1999) Solving the trust-region subproblem using the Lanczos method. SIAM J Optim 9(2): 504-525.
    • (1999) SIAM J Optim , vol.9 , Issue.2 , pp. 504-525
    • Gould, N.I.M.1    Lucidi, S.2    Roma, M.3    Toint, P.L.4
  • 21
    • 77956431671 scopus 로고    scopus 로고
    • Griewank A (2000) Evaluating derivatives: principles and techniques of algorithmic differentiation. Number FR19 in Frontiers in Applied Mathematics. SIAM.
  • 22
    • 0010694041 scopus 로고    scopus 로고
    • Optimization environments and the NEOS server
    • M. D. Buhmann and A. Iserles (Eds.), Cambridge: Cambridge University Press
    • Gropp W, Moré JJ (1997) Optimization environments and the NEOS server. In: Buhmann MD, Iserles A (eds) Approximation theory and optimization. Cambridge University Press, Cambridge, pp 167-182.
    • (1997) Approximation Theory and Optimization , pp. 167-182
    • Gropp, W.1    Moré, J.J.2
  • 23
    • 50149099813 scopus 로고
    • On a mathematical symbolism convenient for performing machine calculations
    • (in Russian)
    • Kantorovich LV (1957) On a mathematical symbolism convenient for performing machine calculations. Dokl Akad Nauk SSSR 113(4): 738-741 (in Russian).
    • (1957) Dokl Akad Nauk SSSR , vol.113 , Issue.4 , pp. 738-741
    • Kantorovich, L.V.1
  • 24
    • 77956421667 scopus 로고    scopus 로고
    • Nenov IP, Fylstra DH, Kolev LV (2004) Convexity determination in the microsoft excel solver using automatic differentiation techniques. Technical Report, Frontline Systems Inc., Incline Village NV, USA.
  • 25
    • 28044471201 scopus 로고    scopus 로고
    • Interval analysis on directed acyclic graphs for global optimization
    • Schichl H, Neumaier A (2005) Interval analysis on directed acyclic graphs for global optimization. J Glob Optim 33(4): 541-562.
    • (2005) J Glob Optim , vol.33 , Issue.4 , pp. 541-562
    • Schichl, H.1    Neumaier, A.2
  • 26
    • 0001346976 scopus 로고    scopus 로고
    • An SQP method for general nonlinear programs using only equality constrained subproblems
    • Spellucci P (1998) An SQP method for general nonlinear programs using only equality constrained subproblems. Math Program 82(3): 413-448.
    • (1998) Math Program , vol.82 , Issue.3 , pp. 413-448
    • Spellucci, P.1
  • 27
    • 0000287204 scopus 로고    scopus 로고
    • An interior point algorithm for nonconvex nonlinear programming
    • Vanderbei RJ, Shanno DF (1999) An interior point algorithm for nonconvex nonlinear programming. Comput Optim Appl 13(3): 231-252.
    • (1999) Comput Optim Appl , vol.13 , Issue.3 , pp. 231-252
    • Vanderbei, R.J.1    Shanno, D.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.