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abstract

We extend a recently developed DEA methodology for cost efficiency analysis towards profitefficiencysettings. This establishes a novel DEA toolkit for profitefficiency assessments in situations with multipleinputs and multiple outputs. A distinguishing feature of our methodology is that it assumes output-specific production technologies. In addition, the methodology accounts for the use of joint inputs, andexplicitly includes information on the allocation of inputs to individual outputs. We also establish a dualrelationship between our multi-output profit inefficiency measure and a technical inefficiency measurethat takes the form of a multi-output directional distance function. Finally, we demonstrate the empiricalusefulness of our methodology by an empirical application to a large service company.

6. Conclusio

nWe presented a novel DEA toolkit for profitefficiency analysis inthe context of multi-output production. A distinguishing feature of ourmethodology is that it assumes output-specific production technolo-gies. In addition, the methodology accounts for the use of joint inputs,and explicitly includes information on the allocation of inputs tospecificoutputs.We have specified a multi-output profitinefficiency measure whenprices are observed, as well as a shadow profitinefficiency measurethat can be used if prices are unknown. Our framework also allows usto define output-specificprofitinefficiency measures, which allocate aDMU's aggregate profitinefficiency to individual outputs. Finally, weestablished a dual relationship between our multi-output profitinefficiency measure and a technical inefficiency measure that takesthe form of a multi-output directional distance function.