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The Multi-stage's Evaluation And Application Of Pre-bi-objective GDEA Model

Posted on:2011-01-12Degree:MasterType:Thesis
Country:ChinaCandidate:F WangFull Text:PDF
GTID:2120330338978723Subject:Operational Research and Cybernetics
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Data envelopment analysis (DEA for short), originally formulated by A. Charnes, Cooper and Rhodes, has more than 20 years of history up to now. It is a new cross-subject that covers mathematics, operational research economics as well as management science. The performance of a DMU depends only on the identified efficient frontier characterized by the DMUs with a unity efficiency score. For its"natural"economic background, so from 1978, there have been thousands of the research thesis and work reports about DEA. Some operational research or the important publication of economics, such as Annals of Operational Research, European Journal of Operational Research, Journal of Productivity Analysis, Journal of Econometric, which all publish the special issue for DEA studies.Fore the foundation of studies, I do of main work as follows:First, set up M-Bi-GDEA modelConsidering the devotion narrows ratio and produces extension ratio, I investigated to the devotion-produced DEA model which having the awl structure (decision maker hobby), then leads into time window into this model, set up M-Bi-GDEA model, this model can get the variety circumstance of opposite efficiency from horizontal (a DMU is placed in a different time), lengthways (different DMUS of the same time), whole (be placed in different DMUS of different time). This model not only overcame limiting of traditional DEA model, but also, in the aspects of making policy unit opposite efficiency evaluation and not efficiency evaluation, consider decision maker hobby of devotion and produce. Second, the equivalence between the model of DEA and the Pareto solutions Data Envelopment Analysis and Pareto optimality are closely linked. Therefore, this article in Chapter III studies the equivalence between the multi-stage's pre-bi-objective GDEA model and the Pareto solutions. Through a rigorous proof we can see: If the DEA is efficient, so (x0(t0),y0(t0)) is the Pareto solution of multi-objective planning.Third, the model applied to high-tech industriesThe DEA model is widely used, this article constructed a model in the fourth chapter which applied to high-tech industries in Jiangxi Province, through the example, we do a detailed analysis of how to determine the targets, time window, as well as decision-makers preferences. And in the analysis of the preference and not-preference, we do special emphasis on the merits of the multi-stage evaluation and preference-based evaluation.As a method of efficiency evaluation, data envelopment analysis has greatly enriched and developed the micro-economic theory of the production function, which with its unique advantages (to avoid subjective factors, etc.) getting much attention, both in theoretical research or practical applications, it have been developed rapidly. But the DEA, after all, a newly emerging cross-disciplinary, its theory and application remains to be further enriched and improved.
Keywords/Search Tags:DEA, M-Bi-DEA model, the efficiency of DEA, Pareto, application
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