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Volumn 51, Issue 3-4, 2007, Pages 489-497

Mixed-integer nonlinear programming: Some modeling and solution issues

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; OPTIMIZATION;

EID: 34547482835     PISSN: 00188646     EISSN: 00188646     Source Type: Journal    
DOI: 10.1147/rd.513.0489     Document Type: Article
Times cited : (23)

References (31)
  • 1
    • 34547409421 scopus 로고    scopus 로고
    • ILOG-Cplex 9.0 User's Manual, 2003; see http://www.ilog.com/.
    • ILOG-Cplex 9.0 User's Manual, 2003; see http://www.ilog.com/.
  • 2
    • 17444372724 scopus 로고    scopus 로고
    • SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
    • P. Gill, W. Murray, and M. A. Saunders, "SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization," SIAM Rev. 47, No. 1, 99-131 (2005).
    • (2005) SIAM Rev , vol.47 , Issue.1 , pp. 99-131
    • Gill, P.1    Murray, W.2    Saunders, M.A.3
  • 3
    • 29144523061 scopus 로고    scopus 로고
    • On the Implementation of an Interior-Point Filter Line-Search Algorithm for Large-Scale Nonlinear Programming
    • A. Waechter and L. T. Biegler, "On the Implementation of an Interior-Point Filter Line-Search Algorithm for Large-Scale Nonlinear Programming," Math. Program. 106, No. 1, 25-57 (2006).
    • (2006) Math. Program , vol.106 , Issue.1 , pp. 25-57
    • Waechter, A.1    Biegler, L.T.2
  • 6
    • 0016917826 scopus 로고
    • Global Optimization Using Special Ordered Sets
    • E. M. L. Beale and J. J. H. Forrest, "Global Optimization Using Special Ordered Sets," Math. Program. 10, 52-69 (1976).
    • (1976) Math. Program , vol.10 , pp. 52-69
    • Beale, E.M.L.1    Forrest, J.J.H.2
  • 7
    • 0142011931 scopus 로고    scopus 로고
    • Polyhedral Methods for Piecewise-Linear Functions I: The Lambda Method
    • J. Lee and D. Wilson, "Polyhedral Methods for Piecewise-Linear Functions I: The Lambda Method," Discrete Appl. Math. 108, No. 3, 269-285 (2001).
    • (2001) Discrete Appl. Math , vol.108 , Issue.3 , pp. 269-285
    • Lee, J.1    Wilson, D.2
  • 8
    • 34547437842 scopus 로고    scopus 로고
    • Approximation of Non-Linear Functions in Mixed Integer Programming
    • presented at the, Chemnitz, Germany, November 7-9
    • A. Martin, M. Möller, and S. Moritz, "Approximation of Non-Linear Functions in Mixed Integer Programming," presented at the workshop on Integer Programming and Continuous Optimization, Chemnitz, Germany, November 7-9, 2004.
    • (2004) workshop on Integer Programming and Continuous Optimization
    • Martin, A.1    Möller, M.2    Moritz, S.3
  • 9
    • 33846040275 scopus 로고    scopus 로고
    • J. Lee, In Situ Column Generation for a Cutting-Stock Problem, Computers & Oper. Res. 34, No. 8, 2345-2358 (2007); see www.sciencedirect.com.
    • J. Lee, "In Situ Column Generation for a Cutting-Stock Problem," Computers & Oper. Res. 34, No. 8, 2345-2358 (2007); see www.sciencedirect.com.
  • 10
    • 33750710227 scopus 로고    scopus 로고
    • An Algorithmic Framework for Convex Mixed Integer Nonlinear Programs
    • RC-23771, IBM Thomas J. Watson Research Center, Yorktown Heights, NY
    • P. Bonami, A. Waechter, L. T. Biegler, A. R. Conn, G. Cornuéjols, I. E. Grossmann, C. D. Laird, et al., "An Algorithmic Framework for Convex Mixed Integer Nonlinear Programs," Research Report RC-23771, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 2005.
    • (2005) Research Report
    • Bonami, P.1    Waechter, A.2    Biegler, L.T.3    Conn, A.R.4    Cornuéjols, G.5    Grossmann, I.E.6    Laird, C.D.7
  • 12
    • 33750717192 scopus 로고    scopus 로고
    • C. Bragalli, C. D'Ambrosio, J. Lee, A. Lodi, and P. Toth, An MINLP Solution Method for a Water Network Problem, Algorithms-ESA 2006, Y. Azar and T. Erlebach, Editors, Proceedings of the 14th Annual European Symposium, Zurich, Switzerland, Springer, New York, 2006, pp. 696-707.
    • C. Bragalli, C. D'Ambrosio, J. Lee, A. Lodi, and P. Toth, "An MINLP Solution Method for a Water Network Problem," Algorithms-ESA 2006, Y. Azar and T. Erlebach, Editors, Proceedings of the 14th Annual European Symposium, Zurich, Switzerland, Springer, New York, 2006, pp. 696-707.
  • 14
    • 0000278641 scopus 로고
    • Preprocessing and Probing for Mixed Integer Programming Problems
    • M. W. P. Savelsbergh, "Preprocessing and Probing for Mixed Integer Programming Problems," O RSA J. Computing 6, No. 4, 445-454 (1994).
    • (1994) O RSA J. Computing , vol.6 , Issue.4 , pp. 445-454
    • Savelsbergh, M.W.P.1
  • 15
    • 0001779405 scopus 로고
    • A Global Approach to Crew-Pairing Optimization
    • R. Anbil, R. Tanga, and E. L. Johnson, "A Global Approach to Crew-Pairing Optimization," IBM Syst. J. 31, No. 1, 71-78 (1992).
    • (1992) IBM Syst. J , vol.31 , Issue.1 , pp. 71-78
    • Anbil, R.1    Tanga, R.2    Johnson, E.L.3
  • 16
    • 0035730578 scopus 로고    scopus 로고
    • FATCOP 2.0: Advanced Features in an Opportunistic Mixed Integer Programming Solver
    • Q. Chen, M. Ferris, and J. T. Linderoth, "FATCOP 2.0: Advanced Features in an Opportunistic Mixed Integer Programming Solver," Ann. Oper. Res. 103, 17-32 (2001).
    • (2001) Ann. Oper. Res , vol.103 , pp. 17-32
    • Chen, Q.1    Ferris, M.2    Linderoth, J.T.3
  • 17
    • 0001332760 scopus 로고    scopus 로고
    • A Computational Study of Branch and Bound Search Strategies for Mixed Integer Programming
    • J. T. Linderoth and M. W. P. Savelsbergh, "A Computational Study of Branch and Bound Search Strategies for Mixed Integer Programming," INFORMS J. Computing 11, No. 2, 173-187 (1999).
    • (1999) INFORMS J. Computing , vol.11 , Issue.2 , pp. 173-187
    • Linderoth, J.T.1    Savelsbergh, M.W.P.2
  • 18
    • 33846586040 scopus 로고    scopus 로고
    • A Feasibility Pump Heuristic for General Mixed-Integer Problems
    • L. Bertacco, M. Fischetti, and A. Lodi, "A Feasibility Pump Heuristic for General Mixed-Integer Problems," Discrete Optimization 4, 63-76 (2007).
    • (2007) Discrete Optimization , vol.4 , pp. 63-76
    • Bertacco, L.1    Fischetti, M.2    Lodi, A.3
  • 21
    • 0022208326 scopus 로고
    • Branch and Bound Experiments in Convex Nonlinear Integer Programming
    • O. K. Gupta and V. Ravindran, "Branch and Bound Experiments in Convex Nonlinear Integer Programming," Manage. Sci. 31, No. 12, 1533-1546 (1985).
    • (1985) Manage. Sci , vol.31 , Issue.12 , pp. 1533-1546
    • Gupta, O.K.1    Ravindran, V.2
  • 22
    • 0022902024 scopus 로고
    • An Outer-Approximation Algorithm for a Class of Mixed-Integer Nonlinear Programs
    • i
    • M. Duran and I. E. Grossmann, "An Outer-Approximation Algorithm for a Class of Mixed-Integer Nonlinear Programs," Math. Program.i] 36, No. 3, 307-339 (1986).
    • (1986) Math. Program , vol.36 , Issue.3 , pp. 307-339
    • Duran, M.1    Grossmann, I.E.2
  • 23
    • 0026932968 scopus 로고
    • An LP/NLP Based Branch and Bound Algorithm for Convex MINLP Optimization Problems
    • I. Quesada and I. E. Grossmann, "An LP/NLP Based Branch and Bound Algorithm for Convex MINLP Optimization Problems," Computers & Chem. Eng. 16, No. 10/11, 937-947 (1992).
    • (1992) Computers & Chem. Eng , vol.16 , Issue.10-11 , pp. 937-947
    • Quesada, I.1    Grossmann, I.E.2
  • 25
    • 70349209849 scopus 로고    scopus 로고
    • Essays and Surveys in Global Optimization
    • GERAD 25th Anniversary, Springer, New York
    • C. Audet, P. Hansen, and G. Savard, Essays and Surveys in Global Optimization, GERAD 25th Anniversary Series, Springer, New York, 2005.
    • (2005) Series
    • Audet, C.1    Hansen, P.2    Savard, G.3
  • 28
    • 0041412105 scopus 로고    scopus 로고
    • J. Lee and W. D. Morris, Jr., Geometric Comparison of Combinatorial Polytopes, Discrete Appl. Math. 55, No. 2, 163-182 (1994).
    • J. Lee and W. D. Morris, Jr., "Geometric Comparison of Combinatorial Polytopes," Discrete Appl. Math. 55, No. 2, 163-182 (1994).
  • 30
    • 34547426001 scopus 로고    scopus 로고
    • A Feasibility Pump for Mixed Integer Nonlinear Programs
    • RC-23862, IBM Thomas J. Watson Research Center, Yorktown Heights, NY
    • P. Bonami, G. Cornuéjols, A. Lodi, and F. Margot, "A Feasibility Pump for Mixed Integer Nonlinear Programs," Research Report RC-23862, IBM Thomas J. Watson Research Center, Yorktown Heights, NY, 2006.
    • (2006) Research Report
    • Bonami, P.1    Cornuéjols, G.2    Lodi, A.3    Margot, F.4
  • 31
    • 22644432981 scopus 로고    scopus 로고
    • A Computational Study of Integer Programming Algorithms Based on Barvinok's Rational Functions
    • J. A. De Loera, D. Haws, R. Hemmecke, P. Huggins, and R. Yoshida, "A Computational Study of Integer Programming Algorithms Based on Barvinok's Rational Functions," Discrete Optimization 2, No. 2, 135-144 (2005).
    • (2005) Discrete Optimization , vol.2 , Issue.2 , pp. 135-144
    • De Loera, J.A.1    Haws, D.2    Hemmecke, R.3    Huggins, P.4    Yoshida, R.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.