Translation invariance in data envelopment analysis: A generalization
J.T Pastor
This paper proves that several of the DEA model are translation invariant (i.e., optimal solutions are not changed if the original variable values are “translated”, that is all values for a variable are replaced by some constant minus the values).
Specifically, the primal additive model is translation invariant.
The BCC input oriented primal model is output translation invariant.
The CCR models are not translation invariant.

There are also unit  invariant properties in DEA models.
"Additive models" is what it means literally.

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