On efficiency in convex hull of DMUs

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Abstract

In this paper a new model is introduced to evaluate decision making units (DMUs) in the production possibility set (PPS), with three properties. (a) The observed activities (xj,yj),(j=1,...,n) belong to PPS. (b) Any convex combination of activities in PPS belongs to PPS. (c) PPS is the smallest set that satisfying the principles (a) and (b). Thus, a model is presented to investigate convex efficient DMU. Then, the efficiency of each DMU would be measured by presenting a criterion to assess efficiency. Finally, a discussion regarding to return to scale would be presented following an example to explain accuracy of the presented discussion. © 2012 Elsevier Inc.

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Soltanifar, M., Jahanshahloo, G. R., Hosseinzadeh Lotfi, F., & Mansourzadeh, S. M. (2013). On efficiency in convex hull of DMUs. Applied Mathematical Modelling, 37(4), 2267–2278. https://doi.org/10.1016/j.apm.2012.05.024

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