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Volumn 12, Issue 3, 1998, Pages 247-265

A Finite Algorithm for Globally Optimizing a Class of Rank-Two Reverse Convex Programs

Author keywords

Global optimization; Parametric simplex algorithm; Rank two quasiconcave function; Reverse convex program

Indexed keywords

ALGORITHMS; FUNCTIONS; GLOBAL OPTIMIZATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 0344576939     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008216024699     Document Type: Article
Times cited : (6)

References (24)
  • 9
    • 0027110856 scopus 로고
    • Linear multiplicative programming
    • Konno, H. and T. Kuno, Linear multiplicative programming, Mathematical Programming 56 (1992) 51-64.
    • (1992) Mathematical Programming , vol.56 , pp. 51-64
    • Konno, H.1    Kuno, T.2
  • 10
    • 0002574382 scopus 로고
    • Multiplicative programming problems
    • R. Horst and P.M. Pardalos, eds., Kluwer Academic Publishers, Dortrecht
    • Konno, H. and T. Kuno, Multiplicative programming problems, in: R. Horst and P.M. Pardalos, eds., Handbook of Global Optimization (Kluwer Academic Publishers, Dortrecht, 1995) pp. 369 -405.
    • (1995) Handbook of Global Optimization , pp. 369-405
    • Konno, H.1    Kuno, T.2
  • 13
    • 0002398911 scopus 로고
    • Parametric simplex algorithms for solving a special class of nonconvex minimization problems
    • Konno, H., Y. Yajima and T. Matsui, Parametric simplex algorithms for solving a special class of nonconvex minimization problems, Journal of Global Optimization 1 (1991) 65-82.
    • (1991) Journal of Global Optimization , vol.1 , pp. 65-82
    • Konno, H.1    Yajima, Y.2    Matsui, T.3
  • 14
    • 38249003971 scopus 로고
    • Globally determining a minimum-area rectangle enclosing the projection of a higher-dimensional set
    • Kuno, T., Globally determining a minimum-area rectangle enclosing the projection of a higher-dimensional set, Operations Research Letters 13 (1993) 295-303.
    • (1993) Operations Research Letters , vol.13 , pp. 295-303
    • Kuno, T.1
  • 15
    • 0345439101 scopus 로고
    • A parametric successive underestimation method for convex programming problems with an additional convex multiplicative constraint
    • Kuno, T., H. Konno and Y. Yamamoto, A parametric successive underestimation method for convex programming problems with an additional convex multiplicative constraint, Journal of the Operations Research Society of Japan 35 (1992) 290-299.
    • (1992) Journal of the Operations Research Society of Japan , vol.35 , pp. 290-299
    • Kuno, T.1    Konno, H.2    Yamamoto, Y.3
  • 16
    • 0028768509 scopus 로고
    • Convex programs with an additional constraint on the product of several convex functions
    • Kuno, T., Y. Yajima, Y. Yamamoto and H. Konno, Convex programs with an additional constraint on the product of several convex functions, European Journal of Operational Research 77 (1994) 314-324.
    • (1994) European Journal of Operational Research , vol.77 , pp. 314-324
    • Kuno, T.1    Yajima, Y.2    Yamamoto, Y.3    Konno, H.4
  • 17
    • 84972969056 scopus 로고
    • Polynomial time algorithms for some classes of constrained nonconvex quadratic problems
    • Pardalos, P.M., Polynomial time algorithms for some classes of constrained nonconvex quadratic problems, Optimization 21 (1990) 843-853.
    • (1990) Optimization , vol.21 , pp. 843-853
    • Pardalos, P.M.1
  • 18
    • 0344145548 scopus 로고
    • Linear Programs with an additional rank two reverse convex constraint
    • Pferschy, U. and H. Tuy, Linear Programs with an additional rank two reverse convex constraint, Journal of Global Optimization 4 (1994) 441-454.
    • (1994) Journal of Global Optimization , vol.4 , pp. 441-454
    • Pferschy, U.1    Tuy, H.2
  • 20
    • 0039544322 scopus 로고
    • Mathematical programs with a two-dimensional reverse convex constraint
    • Thach, P.T., R.E. Burkard and W. Oettli, Mathematical programs with a two-dimensional reverse convex constraint, Journal of Global Optimization 1 (1991) 145-154.
    • (1991) Journal of Global Optimization , vol.1 , pp. 145-154
    • Thach, P.T.1    Burkard, R.E.2    Oettli, W.3
  • 21
    • 0023311198 scopus 로고
    • Convex Programs with an additional reverse convex constraint
    • Tuy, H., Convex Programs with an additional reverse convex constraint, Journal of Optimization Theory and Applications 52 (1987) 463-486.
    • (1987) Journal of Optimization Theory and Applications , vol.52 , pp. 463-486
    • Tuy, H.1
  • 22
    • 0002911084 scopus 로고
    • D.c. optimization: Theory, methods and algorithms
    • R. Horst and P.M. Pardalos, eds., Kluwer Academic Publishers, Dortrecht
    • Tuy, H., D.c. optimization: theory, methods and algorithms, in: R. Horst and P.M. Pardalos, eds., Handbook of Global Optimization (Kluwer Academic Publishers, Dortrecht, 1995) pp. 149-216.
    • (1995) Handbook of Global Optimization , pp. 149-216
    • Tuy, H.1
  • 23
    • 0002385774 scopus 로고
    • An efficient solution method for rank two quasiconcave minimization problems
    • Tuy, H. and B.T. Tam, An efficient solution method for rank two quasiconcave minimization problems, Optimization 24 (1992) 43-56.
    • (1992) Optimization , vol.24 , pp. 43-56
    • Tuy, H.1    Tam, B.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.