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Comments on the general duality survey by J. Tind and L.A. Wolsey
Authors:J Ponstein
Institution:(1) Department of Econometrics, University of Groningen, P.O. Box 800, NL 9700 AV Groningen
Abstract:In this note we comment on Tind and Wolsey 11]. It seems that with a number of duality schemes in their paper neither a dual objective function, nor converse duality can properly be defined. Moreover, the paper is restricted to perturbing right-hand sides of (in)equalities only, hence to what is sometimes called ‘Lagrangean duality’. We show how one can remedy these points. In doing so, everything comes close to working with modified Lagrangeans.
Keywords:Bifunctional Duality  Converse Duality  Lagrangean Duality  Mathematical Programming  Modified Lagrangean  Perturbations  Price Function
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