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FRACTIONAL PROGRAMMING. II, ON DINKELBACH'S ALGORITHM.
- Source :
- Management Science; Apr1976, Vol. 22 Issue 8, p868-873, 6p
- Publication Year :
- 1976
-
Abstract
- Dinkelbach's algorithm [2] solving the parametric equivalent of a fractional program is investigated. It is shown that the algorithm converges superlinearly and often (locally) quadratically. A priori and a posteriori error estimates are derived. Using those estimates and duality as introduced in Part I, a revised version of the algorithm is proposed. In addition, a similar algorithm is presented where, in contrast to Dinkelbach's procedure, the rate of convergence is still controllable. Error estimates are derived also for this algorithm. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00251909
- Volume :
- 22
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Management Science
- Publication Type :
- Academic Journal
- Accession number :
- 7024274
- Full Text :
- https://doi.org/10.1287/mnsc.22.8.868