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In order to reduce subjective judgement in the second step, we provide a cross-efficiency method using only strong defining hyperplanes of the underlying technology. We develop a new DEA-based algorithm, and prove its finiteness and correctness. To reduce the computational burden, we show how one can combine the procedure with a known beneath-and-beyond procedure. Numerical investigations\u2014comprising real-world data\u2014demonstrate the superiority of the new method.<\/jats:p>","DOI":"10.1007\/s00291-021-00623-2","type":"journal-article","created":{"date-parts":[[2021,3,7]],"date-time":"2021-03-07T15:02:31Z","timestamp":1615129351000},"page":"441-465","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Efficiency evaluation in data envelopment analysis using strong defining hyperplanes"],"prefix":"10.1007","volume":"43","author":[{"given":"Andreas","family":"Dellnitz","sequence":"first","affiliation":[]},{"given":"Elmar","family":"Reucher","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9073-6403","authenticated-orcid":false,"given":"Andreas","family":"Kleine","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,3,7]]},"reference":[{"key":"623_CR1","first-page":"15","volume":"25","author":"A Amirteimoori","year":"2012","unstructured":"Amirteimoori A, Kordrostami S (2012) Generating strong defining hyperplanes of the production possibility set in data envelopment analysis. 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