Hierarchical groups DEA cross-efficiency and TOPSIS technique: an application on mobile money agents locations

Jacob Muvingi, Arshad Ahmud Iqbal Peer, Farhad Hosseinzadeh Lotfi and Volkan Soner Özsoy

International Journal of Mathematics in Operational Research, 2022, vol. 21, issue 2, 171-199

Abstract: Ranking of efficient decision-making units (DMUs) allows a further analysis of the data envelopment analysis (DEA) efficient DMUs, where otherwise a high number of efficient DMUs can be identified. The current research seeks to segregate the efficient DMUs through the use of seven cross-efficiency (CE) ranking approaches. The choice of using those CE approaches was meant to reduce bias associated with the use of a single criterion. The seven approaches were extended to suit a situation were DMUs are structured in a two-level hierarchical grouping. The CE of level 1 DMUs was adjusted with the performance of the level 2 DMUs. Variations in the seven adjusted CE ratings were observed. In a bid to ensure complete ranking, the technique for order preference by similarity to ideal solution (TOPSIS) ranking method was combined with the adjusted CE ratings. The results from a real-world example revealed complete ranking for all the DMUs.

Keywords: data; envelopment; analysis?; DEA?; hierarchical?; groups?; cross-efficiency?; TOPSIS?; locations?; mobile; money; agents. (search for similar items in EconPapers)
Date: 2022
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