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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 49, 2001 - Issue 5-6
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Original Articles

Solving sum-of-ratios fractional programs using efficient points

, &
Pages 447-466 | Received 15 Oct 1998, Published online: 30 Mar 2007

References

  • Almogy , Y. and Levin , O. 1970 . “ Parametric Analysis of a Multistage Stochastic Shipping Problem ” . In Operational Research '69 , Edited by: Lawerence , J. 359 – 370 . London : Tavistock Publications .
  • Almogy , Y. and Levin , O. 1971 . A Class of Fractional Programming Problems . Operations Research , 19 : 57 – 61 .
  • Cambini , A. , Marchi , A. , Martein , L. and Schaible , S. “ The A.Gary Anderson Graduate Schoolof Management ” . In An Analysis of the Falk-Palocsay Algorithm Working Paper 96-05 The A
  • Cambini , A. , Martein , L. and Schaible , s. 1989 . On Maximizing a Sum of Ratios . J.Information and Optimization Sci , 10 : 65 – 79 .
  • Charnes , A. and Cooper , W.W. 1962 . Programming with Linear Fractionial Funcionals . Naval Res.Log.Quarterly , 9 : 181 – 186 .
  • Colantoni , C.S. , Manes , R.P. and Whinston , A. 1969 . Programming, Profit Rates and Pricing Decisions . Accounting Review , 9 : 467 – 481 .
  • Drezner , Z. , Schaible , S. and Simchi-Levi , D. 1990 . Queuing-Location Problems on the Plane . Naval Res.Log , 37 : 929 – 935 .
  • Dür , M. and Horst , R. 1997 . Lagrange-Duality and Partitioning Techniques in Non-convex Global Optimization . J.Optimization Theory and Applications , 95 : 347 – 369 .
  • Falk , J.E. and Palocsay , S.W. 1992 . “ Optimizing the Sum of Linear Fractional Functions ” . In Recent Advances in Global Optimization , Edited by: Floudas , C.A. and Pardalos , P.M. 221 – 258 . Princeton : Princeton University Press .
  • Falk , J.E. and Palocsay , S.W. 1994 . Image Space Analysis of Generalized Fractional Programs . J.of Global Optimization , 4 : 63 – 88 .
  • Horst , R. and Nast , M. 1996 . Linearly Constrained Global Minimization of Functions With Concave Minorants . J.Optimization Theory and Applications , 88 : 751 – 763 .
  • Horst , R. , Nast , M. and Thoai , N.V. 1995 . New LP-Bound in Multivariate Lipschitz Optimization: Theory and Applications . J. Optimization Theory and Applications , 86 : 369 – 388 .
  • Horst , R. , Pardalos , P.M. and Thoai , N.V. 1995 . Introduction to Global Optimization , Dordrecht : Kluwer Academic Publishers .
  • Horst , R. and Thoai , N.V. 1997 . Utility Function Programs and 0ptimization over the Efficient Set in Multiple-Objective Decision Making . J. Optimization Theory and Applications , 97 : 609 – 635 .
  • Horst , R. and Tuy , H. 1996 . Global Optimization: Deterministic Approaches , Berlin : Springer .
  • Konno , H. , Thach , P.T. and Tuy , H. 1997 . Optimization on Low Rank Nonconvex Structure , Dordrecht : Kluwer Academic Publishers .
  • Schaible , S. 1976 . Fractional Programming.I: Duality . Management Science , 22 : 858 – 867 .
  • Schaible , S. 1981 . “ A Survey of Fractional Programming ” . In Generalized Concavity in Optimization and Economics , Edited by: Schaible , S. and Ziemba , W.T. 417 – 440 . New York : Academic Press .
  • Schaible , S. 1984 . Simultaneous Optimization of Absolute and Relative Terms . Zeitschrift für , 64 : 363 – 364 . Angewandte Mathematik und Mechanik
  • Schaible , S. 1995 . “ Fractional Programming ” . In Handbook of Global Optimization , Edited by: Horst , R. and Pardalos , P.M. 495 – 608 . Dordrecht : Kluwer Academic Publishers .
  • Schaible , S. and Schaible , s. 1996b . “ Fractional Programming ” . In Encyclopedia of Operations Research and Management Science , Edited by: Gass , S. and Harris , C.M. 234 – 237 . Dordrecht : Kluwer Academic Publishers .
  • Schaible , S. and Lowe , T. 1983 . A Note On a Material control problem . IIE Transactions , 15 : 177 – 179 .
  • Schaible , S. and Lowe , T. 1983 . A Note On a Material control problem . IIE Transactions , 15 : 177 – 179 .
  • Steuer , R.E. 1986 . Multiple Criteria Optimization: Theory Computation and Application , New York : Wiley .
  • Thoai , N.V. 1997 . “ A Decomposition Method using Duality Bounds for Nonconvex Optimization ” . In Research Report Nr. 97-24 , 24 – 97 . Germany : University of Trier .
  • Zhang , S. 1991 . “ Stochastic Queue Location Problems ” . In Doctoral Dissertation , Rotterdam : Erasmus University . Econometric Institute

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