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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