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A duality theorem for a multiple objective fractional optimization problem

Published online by Cambridge University Press:  17 April 2009

T. Weir
T. Weir
Affiliation:
Department of Mathematics, University College, Australian Defence Force Academy, Campbell, A.C.T. 2600.
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Abstract

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Characterizations of efficiency and proper efficiency are given for classes of multiple objective fractional optimization problems. These results are then applied to the case of multiple objective fractional linear problems. A dual problem is given for the multiple objective fractional problem and it is shown that for a properly efficient primal solution the dual solution is also properly efficient.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 3 , December 1986 , pp. 415 - 425
Copyright
Copyright © Australian Mathematical Society 1986

References

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