Showing papers by "William W. Cooper published in 1982"

A multiplicative model for efficiency analysis

Abstract: This paper develops theory and algorithms for a “multiplicative” Data Envelopment Analysis (DEA) model employing virtual outputs and inputs as does the CCR ratio method for efficiency analysis. The frontier production function results here are of piecewise log-linear rather than piecewise linear form.

Transforms and approximations in cost and production function relations

Abstract: : Process analysis and related approaches to the study of energy economics have made extensive use of Shephard's lemma as well as other aspects of the Shephard-Samuelson transformation theories. A major problem is shown to be present in the use of these transforms to go from cost functions to production possibility sets in that the latter will always be unbounded above. Capacity conditions, which are especially important in energy policy studies, are therefore not adequately addressed. Troubles also occur in the use of translog approximations because of the functional forms which can result when the Shephard-Samuelson transformations are employed. Nondiffferentiability is not the primary difficulty with the translog approximations as is shown with an infinitely differentiable function. Relations between other parts of mathematical transform theory, e.g. as exhibited in Laplace transforms, are also indicated along with possible extensions that might be made in the Shephard-Samuelson 'duality' theories. (Author)

Model Extension and Computation in Goal-Arc Network Approaches for EEO Planning.

Abstract: : Extensions of a 'multi-modal' goal-arc EEO model are discussed in the context of prototype studies to check-out the model structure and computational efficiencies using PNET and other computer codes. The model presented provides for the information assistance needed after one has EEO goals to develop the strategies involving trade-offs between internal vs. external recruitment. (Author)

Measuring Efficiency and Tradeoffs in Attainment of EEO Goals

Abstract: This paper sketches a framework for evaluating the efficiency with which various units of the U.S. Navy attain their EEO goals. We focus on the conversion of “effort” or “input resources” into “outcomes” or “program outputs” reflecting the improvement in the representation of women and minorities in the various Navy units. To determine the efficiency of this conversion process we assume that, where needed, an EEO program will set out to provide the maximum amount of improvement in representation for a given level of resources; any such program is designated as being technically efficient. However, in the absence of known formulae of program operation, it is difficult to ascertain the level of outcome that should be expected and then determine efficiency by comparing attained outcomes with expected outcomes. In this paper, we shall propose to compare resource utilization and outcomes achieved by EEO programs among all units, and then evaluate the outcome levels that any program has achieved relative to what has been shown by other programs to be practically attainable with, at most, as many resources.