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Computing efficiency of Decision Making Units (DMU), using
Directional Distance Function. Ref:
Chambers, R., Y. Chung, and R. Fare (1996), "Benefit and Distance Functions",
Journal of Economic Theory, vol. 70, pp. 407-419.
For each DMU, we are given:
How much it used of each input,
How much it delivered of each output.
All DMU's use the same types of inputs and
deliver the same types of outputs.
A DMU i is efficient or undominated if there is no positively weighted
combination of other DMU's that:
uses no more of every input, and
delivers at least as much of every output.
A "Beta" score is computed for each DMU i which is
<= 0 if DMU i is efficient or undominated,
> 0 if DMU i is inefficient or dominated.
! Keywords: Benchmarking, DDF, Directional Distance