메뉴 건너뛰기




Volumn 27, Issue 1, 1983, Pages 39-54

Fractional programming

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL PROGRAMMING;

EID: 0020706734     PISSN: 03409422     EISSN: 14325217     Source Type: Journal    
DOI: 10.1007/BF01916898     Document Type: Article
Times cited : (149)

References (63)
  • 1
    • 84931941791 scopus 로고    scopus 로고
    • Avriel, M.: Nonlinear Programming: Analysis and Methods. Englewood Cliffs 1976.
  • 2
    • 84931941790 scopus 로고    scopus 로고
    • Avriel, M., et al.: Introduction to Concave and Generalized Concave Functions. Generalized Concavity in Optimization and Economics. Ed. by S. Schaible and W.T. Ziemba. New York 1981, 21–50.
  • 5
    • 84931941787 scopus 로고    scopus 로고
    • Cambini, A.: An Algorithm for a Special Class of Fractional Programs. Generalized Concavity in Optimization and Economics. Ed. by S. Schaible and W.T. Ziemba. New York 1981, 491–508.
  • 10
    • 0040782373 scopus 로고
    • Multicriteria Linear Fractional Programming
    • University of British Columbia, Vancouver
    • (1980) Ph.D. Thesis
    • Choo, E.U.1
  • 11
    • 84931941786 scopus 로고    scopus 로고
    • Craven, B.D.: Mathematical Programming and Control Theory. London 1978.
  • 12
    • 84931941794 scopus 로고    scopus 로고
    • Duality for Generalized Convex Fractional Programs. Generalized Concavity in Optimization and Economics. Ed. by S. Schaible and W.T. Ziemba. New York 1981, 473–489.
  • 13
    • 84931941799 scopus 로고    scopus 로고
    • Crouzeix, J.P., J.A. Ferland, and S. Schaible: Duality in Generalized Linear Fractional Programming. Technical Report No. 399, Département d'informatique et de recherche opérationelle, Université de Montréal, 1981.
  • 14
    • 0039260683 scopus 로고
    • Duality Theorems and Optimality Conditions for Nonconvex Optimization Problems. Mathematische Operationenforschung und Statistik
    • (1980) Ser. Optimization , vol.11 , pp. 181-219
    • Deumlich, R.1    Elster, K.H.2
  • 19
    • 0014974581 scopus 로고
    • Duality in Nonlinear Programming: A Simplified Applications-Oriented Development
    • (1971) SIAM Review , vol.13 , pp. 1-37
    • Geoffrion, A.M.1
  • 20
    • 84931941798 scopus 로고    scopus 로고
    • Gill, P.E., and W. Murray: Numerical Methods for Constrained Optimization. London 1974.
  • 23
    • 84931941797 scopus 로고    scopus 로고
    • Hodgson, T.J., and T.J. Lowe: Production Lot Sizing with Material Handling Cost Considerations. AIIE Transactions, 1982 (forthcoming).
  • 24
    • 84931941796 scopus 로고    scopus 로고
    • Ibaraki, T.: Solving Mathematical Programming Problems with Fractional Objective Functions. Generalized Concavity in Optimization and Economics. Ed. by S. Schaible and W.T. Ziemba. New York 1981, 441–472.
  • 27
    • 0011908281 scopus 로고
    • On Some Properties of Programming Problems in Parametric Form Pertaining to Fractional Programming
    • (1966) Management Science , vol.12 , pp. 609-615
    • Jagannathan, R.1
  • 28
    • 84931941803 scopus 로고    scopus 로고
    • Jagannathan, R., and S. Schaible: Duality in Generalized Fractional Programming via Farkas' Lemma. Journal of Optimization Theory and Applications, to appear.
  • 31
    • 84931941802 scopus 로고    scopus 로고
    • Mangasarian, O.L.: Nonlinear Programming. New York 1969a.
  • 34
    • 84931941801 scopus 로고    scopus 로고
    • Originally published in Math. Institute of Hungarian Academy of Science 5, 1960, 383–406 (Hungarian).
  • 35
    • 84931941800 scopus 로고    scopus 로고
    • Nonlinear Programming: Theory and Methods. Amsterdam 1975.
  • 37
    • 84931941795 scopus 로고    scopus 로고
    • Mond, B., and T. Weir: Generalized Concavity and Duality. Generalized Concavity in Optimization and Economics. Ed. by S. Schaible and W.T. Ziemba. New York 1981, 263–279.
  • 38
    • 84931941804 scopus 로고    scopus 로고
    • Neumann, J. von: über ein ökonomisches Gleichgewichtssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes. Ergebnisse eines Mathematischen Kolloquiums. Hrsg. v. K. Menger. Leipzig-Wien 1937, Heft 8, 73–83.
  • 41
    • 84931941805 scopus 로고    scopus 로고
    • Passy, U.: Pseudo-duality and Non-convex Programming. Generalized Concavity in Optimization and Economics. Ed. by S. Schaible and W.T. Ziemba. New York 1981, 239–261.
  • 43
    • 84931941807 scopus 로고    scopus 로고
    • Schaible, S.: Beiträge zur quasikonvexen Programmierung. Doctoral Dissertation, Köln 1971.
  • 44
    • 0043114283 scopus 로고
    • Fractional Programming: Transformations, Duality and Algorithmic Aspects
    • Department of Operations Research, Stanford University, Stanford
    • (1973) Technical Report 73-9
    • Schaible, S.1
  • 51
    • 84931941806 scopus 로고    scopus 로고
    • Analyse und Anwendungen von Quotientenprogrammen. Meisenheim 1978.
  • 52
    • 84931941809 scopus 로고    scopus 로고
    • A Survey of Fractional Programming. Generalized Concavity in Optimization and Economics. Ed. by S. Schaible and W.T. Ziemba. New York 1981, 417–440.
  • 53
    • 84931941808 scopus 로고    scopus 로고
    • -: Bibliography in Fractional Programming. Zeitschrift für Operations Research 26 (7), 1982a.
  • 55
    • 84931941810 scopus 로고    scopus 로고
    • Bicriteria Quasiconcave Programs. Cahiers du Centre d'Etudes de Recherche Opérationelle 25, 1983 (forthcoming).
  • 56
    • 84931941813 scopus 로고    scopus 로고
    • Schaible, S., and T. Ibaraki: Invited Review: Fractional Programming. European J. of Operational Research, 1983 (forthcoming).
  • 59
    • 84931941828 scopus 로고    scopus 로고
    • Schaible, S., and W.T. Ziemba (eds.): Generalized Concavity in Optimization and Economics. New York 1981.
  • 62
    • 84931941830 scopus 로고
    • Pseudomonotonic Multiobjective Programming
    • Department of Economics, University of Saarland, Saarbrücken
    • (1982) Discussion Paper
    • Weber, R.1
  • 63
    • 84931941829 scopus 로고    scopus 로고
    • Zangwill, W.I.: Nonlinear Programming: A Unified Approach. Englewood Cliffs 1969.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.