“Componentwise Fractional Programming with Application to Resource Allocation”
Authors: Kåre M. Mjelde,Affiliation: Det Norske Veritas (DNV)
Reference: 1983, Vol 4, No 2, pp. 117-123.
Keywords: Fractional programming, non-linear programming, componentwise programming, resource allocation, optimalization
Abstract: A fractional programming problem is considered of the maximization of the ratio of a concave and a convex function, with each variable occurring in a single convex component constraint. A componentwise solution algorithm is given; each component-problem being defined by a weighted difference of thc,concave and the convex functions of the given fractional objective function; the relative weight being recalculated after each componentwise optimization.
PDF (1323 Kb) DOI: 10.4173/mic.1983.2.6
DOI forward links to this article:
[1] I.M. Stancu-Minasian (1992), doi:10.1080/02331939208843744 |
[1] DINKELBACH, W. (1967). On nonlinear fractional programming, Management Science, 13, 492-498.
[2] EINBU, J.M. (1981). Extension of the Luss-Gupta resource allocation algorithm by means of first order approximation techniques, Operations Research, 29, 621-626 doi:10.1287/opre.29.3.621
[3] LUSS, H., GUPTA, S. (1975). Allocation of effort resources among competing activities, Operations Research, 23, 360-366 doi:10.1287/opre.23.2.360
[4] MJELDE, K.M. (1978). Allocation of resources according to a fractional objective, European Journal of Operational Research, 2, 116-124 doi:10.1016/0377-2217(78)90107-8
[5] MJELDE, K.M. (1979). Convex-concave fractional programming - evaluation of solutions and optimality conditions, BIT, 19, 270-271.
[6] MJELDE, K.M. (1983). Componentwise optimization with intermediate improvements, Zeitschrift für Angewandte Mathematik und Mechanik; (b). Methods of the Allocation of Limited Resources (John Wiley and Sons Limited, May 1983).
[7] OETTLI, W. (1974). Einzelschritt-Verfahren zu Lösung Konvexer und Dual-Konvexer Minimierungsprobleme, Zeitschrtft für Angewandte Mathematik und Mechanik, 54, 343-351.
[8] SCHAIBLE S. (1976). Fractional programming I, duality, Management Science, 22, 858-867.
BibTeX:
@article{MIC-1983-2-6,
title={{Componentwise Fractional Programming with Application to Resource Allocation}},
author={Mjelde, Kåre M.},
journal={Modeling, Identification and Control},
volume={4},
number={2},
pages={117--123},
year={1983},
doi={10.4173/mic.1983.2.6},
publisher={Norwegian Society of Automatic Control}
};