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Volumn 72, Issue 2, 1996, Pages 147-175

A new algorithm for generalized fractional programs

Author keywords

Dinkelbach type algorithms; Duality; Fractional programming; Generalized fractional programming; Karush Kuhn Tucker conditions; Quasi convexity

Indexed keywords


EID: 0001204054     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02592087     Document Type: Article
Times cited : (82)

References (32)
  • 7
    • 0024640207 scopus 로고
    • Convergence of interval-type algorithms for generalized fractional programming
    • J.C. Bernard and J.A. Ferland, "Convergence of interval-type algorithms for generalized fractional programming," Mathematical Programming 43 (1989) 349-364.
    • (1989) Mathematical Programming , vol.43 , pp. 349-364
    • Bernard, J.C.1    Ferland, J.A.2
  • 9
    • 34249922645 scopus 로고
    • Algorithms for generalized fractional programming
    • J.P. Crouzeix and J.A. Ferland, "Algorithms for generalized fractional programming," Mathematical Programming 52 (1991) 191-207.
    • (1991) Mathematical Programming , vol.52 , pp. 191-207
    • Crouzeix, J.P.1    Ferland, J.A.2
  • 13
    • 0000181889 scopus 로고
    • On nonlinear fractional programming
    • W. Dinkelbach, "On nonlinear fractional programming," Management Science 13 (1967) 492-498.
    • (1967) Management Science , vol.13 , pp. 492-498
    • Dinkelbach, W.1
  • 14
    • 0022043867 scopus 로고
    • Generalized fractional programming: Algorithms and numerical experimentation
    • J.A. Ferland and J.Y. Potvin, "Generalized fractional programming: Algorithms and numerical experimentation," European Journal of Operational Research 20 (1985) 92-101.
    • (1985) European Journal of Operational Research , vol.20 , pp. 92-101
    • Ferland, J.A.1    Potvin, J.Y.2
  • 15
    • 0022162848 scopus 로고
    • Generalized Cheney-Loeb-Dinkelbach-type algorithms
    • J. Flachs, "Generalized Cheney-Loeb-Dinkelbach-type algorithms," Mathematics of Operations Research 10 (1985) 674-687.
    • (1985) Mathematics of Operations Research , vol.10 , pp. 674-687
    • Flachs, J.1
  • 17
    • 0020802854 scopus 로고
    • Parametric approaches to fractional programs
    • T. Ibaraki, "Parametric approaches to fractional programs," Mathematical Programming 26 (1983) 345-362.
    • (1983) Mathematical Programming , vol.26 , pp. 345-362
    • Ibaraki, T.1
  • 21
    • 0023314734 scopus 로고
    • On the mathematical foundations of nondifferentiable optimization in engineering design
    • E. Polak, "On the mathematical foundations of nondifferentiable optimization in engineering design," SIAM Review 29 (1987) 21-89.
    • (1987) SIAM Review , vol.29 , pp. 21-89
    • Polak, E.1
  • 23
    • 84976518945 scopus 로고
    • A computer routine for quadratic and linear programming problems
    • A. Ravindran, "A computer routine for quadratic and linear programming problems," Communications of the ACM 15 (1972) 818.
    • (1972) Communications of the ACM , vol.15 , pp. 818
    • Ravindran, A.1
  • 25
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R.T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, NJ, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 26
    • 0010992842 scopus 로고
    • Generalized subgradients in mathematical programming
    • A. Bachem, M. Grötschel and B. Korte, eds., Springer, Berlin, ch. 2
    • R.T. Rockafellar, "Generalized subgradients in mathematical programming," in: A. Bachem, M. Grötschel and B. Korte, eds., Mathematical Programming. The State of the Art (Springer, Berlin, 1983) ch. 2, pp. 368-390.
    • (1983) Mathematical Programming. The State of the Art , pp. 368-390
    • Rockafellar, R.T.1
  • 30
    • 84972513554 scopus 로고
    • On general minimax theorems
    • M. Sion, "On general minimax theorems," Pacific Journal of Mathematics 8 (1958) 171-176.
    • (1958) Pacific Journal of Mathematics , vol.8 , pp. 171-176
    • Sion, M.1
  • 31
    • 0038899070 scopus 로고
    • Duality in generalized fractional programming
    • K.H. Hoffman, J.B. Hiriart-Urruty, C. Lemaréchal and J. Zowe, eds., International Series of Numerical Mathematics Birkhäuser, Basel
    • J. Werner, "Duality in generalized fractional programming," in: K.H. Hoffman, J.B. Hiriart-Urruty, C. Lemaréchal and J. Zowe, eds., Trends in Mathematical Optimization, International Series of Numerical Mathematics (Birkhäuser, Basel, 1988) pp. 197-232.
    • (1988) Trends in Mathematical Optimization , pp. 197-232
    • Werner, J.1
  • 32
    • 0027663460 scopus 로고
    • A simple constraint qualification in convex programming
    • Z. Zhou, F.S. Mokhtarian and S. Zlobec, "A simple constraint qualification in convex programming," Mathematical Programming 61 (1993) 385-397.
    • (1993) Mathematical Programming , vol.61 , pp. 385-397
    • Zhou, Z.1    Mokhtarian, F.S.2    Zlobec, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.