Abstract
It is shown that optimal dual solutions for the Additive and the BCC models are not invariant under translation. In particular, this implies that the Ali-Seiford (1990) and Pastor (in chapter 3) results on translations apply only to the envelopment portion of DEA and thus do not, in particular, deal fully with domains having nonnegative inputs and outputs (but with no zero input or output vector).
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References
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R.M. Thrall is Professor of Administration and Noah Harding Professor of Mathematical Sciences, Emeritus, Rice University.
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Thrall, R.M. Chapter 4 The lack of invariance of optimal dual solutions under translation. Ann Oper Res 66, 103–108 (1996). https://doi.org/10.1007/BF02187296
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DOI: https://doi.org/10.1007/BF02187296