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Volumn 21, Issue 2, 1997, Pages 55-64

Potential reduction algorithms for structured combinatorial optimization problems

Author keywords

Binary programming; Combinatorial optimization; Interior point methods; Non linear optimization

Indexed keywords


EID: 0002058082     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(97)00031-X     Document Type: Article
Times cited : (4)

References (12)
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    • Implementation of interior-point methods for large scale linear programs
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    • E.D. Andersen, J. Gondzio, C. Mészáros, X. Xu, Implementation of interior-point methods for large scale linear programs, in: T. Terlaky (Ed.), Interior Point Methods in Mathematical Programming, Kluwer Academic Publishers, Dordrecht, 1996, pp. 189-252.
    • (1996) Interior Point Methods in Mathematical Programming , pp. 189-252
    • Andersen, E.D.1    Gondzio, J.2    Mészáros, C.3    Xu, X.4
  • 4
    • 0041687075 scopus 로고    scopus 로고
    • Duality and sensitivity in nonconvex quadratic optimization over an ellipsoid
    • O.E. Flippo, B. Jansen, Duality and sensitivity in nonconvex quadratic optimization over an ellipsoid, European J. Oper. Res. 94 (1996) 167-178.
    • (1996) European J. Oper. Res. , vol.94 , pp. 167-178
    • Flippo, O.E.1    Jansen, B.2
  • 5
    • 0002296607 scopus 로고
    • Computational experience with an interior point algorithm on the satisfiability problem
    • A.P. Kamath, N.K. Karmarkar, K.G. Ramakrishnan, M.G.C. Resende, Computational experience with an interior point algorithm on the Satisfiability problem, Ann. Oper. Res. 25 (1990) 43-58.
    • (1990) Ann. Oper. Res. , vol.25 , pp. 43-58
    • Kamath, A.P.1    Karmarkar, N.K.2    Ramakrishnan, K.G.3    Resende, M.G.C.4
  • 6
    • 0040817402 scopus 로고
    • An interior-point approach to NP-complete problems - Part I
    • N. Karmarkar, An interior-point approach to NP-complete problems - Part I, Contemp. Math. 114 (1990) 297-308.
    • (1990) Contemp. Math. , vol.114 , pp. 297-308
    • Karmarkar, N.1
  • 7
    • 34249928512 scopus 로고
    • An interior point algorithm to solve computationally difficult set covering problems
    • N. Karmarkar, M.G.C. Resende, K.G. Ramakrishnan, An interior point algorithm to solve computationally difficult set covering problems, Math. Programming 52 (1991) 597-618.
    • (1991) Math. Programming , vol.52 , pp. 597-618
    • Karmarkar, N.1    Resende, M.G.C.2    Ramakrishnan, K.G.3
  • 8
    • 85033125987 scopus 로고    scopus 로고
    • Solving linear systems with low-rank updates
    • Faculty of Technical Mathematics and Informatics, Delft University of Technology, The Netherlands
    • C. Roos, T. Terlaky, T.B. Trafalis, J.P. Warners, Solving linear systems with low-rank updates, Technical Report 96-149, Faculty of Technical Mathematics and Informatics, Delft University of Technology, The Netherlands, 1996.
    • (1996) Technical Report 96-149
    • Roos, C.1    Terlaky, T.2    Trafalis, T.B.3    Warners, J.P.4
  • 9
    • 0043190746 scopus 로고
    • An improvement on Karmarkar's algorithm for integer programming
    • C.-J. Shi, A. Vannelli, J. Vlach, An improvement on Karmarkar's algorithm for integer programming, COAL Bull. 21 (1992) 23-28.
    • (1992) COAL Bull. , vol.21 , pp. 23-28
    • Shi, C.-J.1    Vannelli, A.2    Vlach, J.3
  • 10
    • 0001382978 scopus 로고
    • Newton's method with a model trust region modifcation
    • D.C. Sörensen, Newton's method with a model trust region modifcation, SIAM J. Numer. Anal. 19 (1982) 409-426.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 409-426
    • Sörensen, D.C.1
  • 12
    • 0041497072 scopus 로고
    • Department of Mathematics and Statistics, University of Maryland Baltimore Country, Baltimore, Maryland FORTRAN routines written by E.G. Ng and B.W. Peyton (ORNL), J.W.H. Liu (Waterloo), Y. and D. Zhang (UMBC)
    • Y. Zhang, LIPSOL - a MATLAB™ toolkit for linear programming interior-point solvers, Department of Mathematics and Statistics, University of Maryland Baltimore Country, Baltimore, Maryland (1994). FORTRAN routines written by E.G. Ng and B.W. Peyton (ORNL), J.W.H. Liu (Waterloo), Y. and D. Zhang (UMBC).
    • (1994) LIPSOL - A MATLAB™ Toolkit for Linear Programming Interior-point Solvers
    • Zhang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.