Distance optimization approach to ratio-form efficiency measures in data envelopment analysis

This paper examines the development pattern of the DEA (Data Envelopment Analysis) research field using Social Network Analysis. Nine stylized facts are verified: it is shown that the distribution of research performance is highly skewed, satisfying a power law, and that collaborative research activity is concentrated achieving higher performance. Moreover, economics and OR (operations research)/MS (management science) groups developed without collaboration until the 1980s; however, the merger of the two groups began in 1994 with the collaboration of frontier researchers. Now the two groups have merged significantly, but they are still identifiable. Finally, research hubs and the emergence of new groups are examined. Nine stylized facts show that DEA has developed with unique attributes. Although it shares common characteristics with other academic fields, including a highly skewed distribution of publications and expansion of the network over time, the DEA field has had a pattern of development that is different from those of other academic fields. Independent development and interrelated evolution between economics and OR/MS contributed to the exchange of knowledge of these two separate fields.