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.
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Ponstein, J. Comments on the general duality survey by J. Tind and L.A. Wolsey. Mathematical Programming 25, 240–244 (1983). https://doi.org/10.1007/BF02591773
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DOI: https://doi.org/10.1007/BF02591773