Journal of the Operations Research Society of China >
2018 , Vol. 6 >Issue 1: 85 - 106
DOI: https://doi.org/https://doi.org/10.1007/s40305-017-0187-x
Extra Resource Allocation: A DEA Approach in the View of Efficiencies
Online published: 2018-03-30
Data envelopment analysis has been successfully used in resource allocation problems. However, to the best of our knowledge, there are no allocation models proposed in the literature that simultaneously take both the global efficiency and growing potential into account. Hence, this research aims at developing an allocation model for extra input resources, which maximizes the global technical efficiency and scale efficiency of a decision-making unit (DMU) set while maintaining the pure technical efficiency (i.e., growing potential) of each DMU. To this purpose, we first discuss the optimal resources required by each DMU. We prove that the optimal inputs for the DMU are actually the inputs of some most productive scale size (MPSS). We then propose the allocation model based on the discussion on the case of one DMU. The allocation model is illustrated using two numerical examples.
Meng Zhang, Li-Li Wang,Jin-Chuan Cui . Extra Resource Allocation: A DEA Approach in the View of Efficiencies[J]. Journal of the Operations Research Society of China, 2018 , 6(1) : 85 -106 . DOI: https://doi.org/10.1007/s40305-017-0187-x
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