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Decision Making Unit

Unit of analysis in DEA โ€” a similar entity (one of N homogeneous organisations) being benchmarked; consumes multiple inputs to produce multiple outputs.

DMU
A Decision Making Unit (DMU) is the unit of analysis in Data Envelopment Analysis (DEA) literature โ€” a similar entity (one of N homogeneous organisations) being benchmarked, that consumes multiple inputs to produce multiple outputs. Typical examples: 500 bank branches of one bank; 200 public hospitals; 1,000 elementary schools in a province; 80 agricultural cooperatives; 81 provinces in a province-by-province efficiency comparison. The **homogeneity** condition is critical: same type of operation, comparable scale range, the same defined input-output structure; heterogeneous DMUs make the DEA frontier meaningless. The critical **sample-size heuristic**: N โ‰ฅ 3 ร— (number of inputs + number of outputs) โ€” Cook-Seiford (2009) โ€” otherwise frontier estimation is unreliable and almost every DMU automatically comes out efficient (statistically meaningless). Banker-Charnes-Cooper (1984) extended the DMU concept from CCR to BCC (acknowledging scale variation via variable returns to scale). Canonical sources: Banker-Charnes-Cooper (1984) + Cook-Seiford (2009).
ร–rnek

A hospital chain treats its 80 hospitals as DMUs; each hospital has 4 inputs (doctors, nurses, beds, equipment) + 3 outputs (patients, surgeries, treatment success) โ€” sample size: 4+3=7, 3ร—7=21; 80 โ‰ฅ 21, the rule holds. The DEA-BCC efficiency analysis is reliable.

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