Origins, uses of, and relations between goal programming and data envelopment analysis. (English) Zbl 1205.90006
Summary: Origins and uses of goal programming and data envelopment analysis (DEA) are identified and discussed. The purpose of this paper is not only to review some of the history of these developments, but also to show some of their uses (e.g. in statistical regression formulations) in order to suggest paths for possible further developments. Turning to how the two types of models relate to each other, the additive model of DEA is shown to have the same structure as a goal programming model in which only one-sided deviations are permitted. A way for formally relating the two to each other is then provided. However, the objectives are differently oriented because goal programming is directed to future performances as part of the planning function whereas DEA is directed to evaluating past performances as part of the control function of management. Other possible ways of comparing and combining the two approaches are also noted including statistical regressions that utilize goal programming to ensure that the resulting estimates satisfy the multi-criteria conditions that are often encountered in managerial applications.
MSC:
| 90-03 | History of operations research and mathematical programming |
| 01A60 | History of mathematics in the 20th century |
| 90C29 | Multi-objective and goal programming |
| 90C08 | Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) |
Software:
PariTOPReferences:
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