Multi-ratio fractional programming - a survey. (English) Zbl 0645.90085
Optimization, parallel processing and applications. Proc. Conf. Oper. Res., Oberwolfach/FRG 1987, Workshop Adv. Comput. Tech. Parallel Process. Optimization, Karlsruhe/FRG 1987, Lect. Notes Econ. Math. Syst. 304, 57-66 (1988).
[For the entire collection see Zbl 0642.00027.]
Nonlinear programming problems are considered where the objective function involves several ratios. We review recent results concerning three classes of multi-ratio fractional programs: 1) maximization of a sum of ratios, 2) maximization of the smallest of several ratios, and 3) multiobjective fractional programs. In addition to these results open problems are addressed as well.
Nonlinear programming problems are considered where the objective function involves several ratios. We review recent results concerning three classes of multi-ratio fractional programs: 1) maximization of a sum of ratios, 2) maximization of the smallest of several ratios, and 3) multiobjective fractional programs. In addition to these results open problems are addressed as well.
MSC:
| 90C32 | Fractional programming |
| 90-02 | Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming |
