“Stability of Pareto-Optimal Allocations of Resources to Activities”
Authors: Kåre M. Mjelde,Affiliation: Det Norske Veritas (DNV)
Reference: 1986, Vol 7, No 3, pp. 155-159.
Keywords: No keywords
Abstract: A concept of stability is introduced for the Pareto-optimal solutions of a vector-valued problem of the allocation of resources to activities, and characterized by a property which is independent of uncertainties in the efficiency matrix of the allocations. Any feasible solution can be improved by cyclic shifts to give a stable Pareto-optimal solution. The resource allocation problem of the maximization of the sum of the utility returns from the activities and a problem with fuzzy resources and activities are shown to have stable Pareto-optimal solutions.
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DOI: 10.4173/mic.1986.3.4References:
[1] DANSKIN, F.M., (1967). The theory of max-min, Berlin, Springer-Verlag doi:10.1287/moor.3.1.82
[2] EINBU, J.M., (1978). Optimal allocation of continuous resources to several activities with a concave return function - some theoretical results, Math. Ophs. Res., 3, 82-88.
[3] EINBU, J.M., (1981). Improving solutions of a class of allocation problems by cyclic shifts of resources, Opl. Res. Q., 32, 401-404 doi:10.1057/jors.1981.77
[4] MJELDE, K.M., (1983). Properties of Pareto-optimal allocations of resources to activities, Modeling, Identification and Control, 4, 167-173 doi:10.4173/mic.1983.3.3
[5] MJELDE, K.M., (1986). Fuzzy resource allocation, Fuzzy Sets and Systems, 19, 239-250 doi:10.1016/0165-0114(86)90053-9
BibTeX:
@article{MIC-1986-3-4,
title={{Stability of Pareto-Optimal Allocations of Resources to Activities}},
author={Mjelde, Kåre M.},
journal={Modeling, Identification and Control},
volume={7},
number={3},
pages={155--159},
year={1986},
doi={10.4173/mic.1986.3.4},
publisher={Norwegian Society of Automatic Control}
};