Ranking of decision making units using the imperialist competitive algorithm in DEA

• Published in: Measurement and control (London) Vol. 54; no. 9-10; pp. 1326 - 1335
• Main Authors: Babaei Keshteli, Hasan, Rostamy-Malkhalifeh, Mohsen, Hosseinzadeh Lotfi, Farhad
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.11.2021; Sage Publications Ltd; SAGE Publishing
• Subjects: Data envelopment analysis; Decision analysis; Decision making; Evolutionary algorithms; Heuristic methods; Ranking; region of domination; Ranking; imperialist competitive algorithm; data envelopment analysis
• ISSN: 0020-2940; 2051-8730; 2051-8730
• DOI: 10.1177/00202940211028883

One of the challenging and important subjects in Data Envelopment Analysis (DEA) is the ranking of Decision Making Units (DMUs). In this paper, a new method for ranking the efficient DMUs is firstly proposed by utilizing the DEA technique and also developing a capable metaheuristic, imperialist competitive algorithm, derived from social, political, and cultural phenomena. Efficient DMUs are known as colonizers, and the virtual units, which are within their regions of exclusive domination, are considered as colonies. Efficient units are ranked by utilizing the factor of competition among imperialists to attract each other’s colonies. One advantage of proposed method is that, without solving any mathematical, and complex solution approaches, all extreme and non-extreme units are ranked only by comparing the pairs.