1. ON NONLINEAR FRACTIONAL PROGRAMMING.
- Author
-
Dinkelbach, Werner
- Subjects
FRACTIONAL integrals ,NONLINEAR programming ,LINEAR programming ,MATHEMATICAL programming ,ALGORITHMS ,PARAMETER estimation ,QUADRATIC programming ,CONCAVE functions ,CONVEX functions ,POLYHEDRAL functions ,NUMERICAL solutions to Lagrange equations - Abstract
The main purpose of this paper is to delineate an algorithm for fractional programming with nonlinear as well as linear terms in the numerator and denominator. The algorithm presented is based on a theorem by Jagannathan [7] concerning the relationship between fractional and parametric programming. This theorem is restated and proved in a somewhat simpler way. Finally, it is shown how the given algorithm can be related to the method of Isbell and Marlow [6] for linear fractional programming and to the quadratic parametric approach by Ritter [10]. The Appendix contains a numerical example. [ABSTRACT FROM AUTHOR]
- Published
- 1967
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