Resource allocation based on DEA and modified Shapley value
Resource allocation based on DEA and modified Shapley value
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DOI：
10.1016/j.amc.2015.04.063
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发表时间：
2015-07
期刊：
影响因子：
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通讯作者：
Zhihua Yang;Qianwei Zhang
中科院分区：
文献类型：
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作者：
Zhihua Yang;Qianwei Zhang
本文设计了基于DEA（数据包络分析）有效性的特征函数，提出了一种修正的Shapley值来公平地解决资源分配问题，该方法处理的是一组具有可比性和同质性的决策单元。此外，通过将DEA效率和分配给各决策单元的资源份额分别视为服务单位和公平单位，建立了反映资源分配方案公平性的基尼系数。数值例子来说明所提出的方法。算例表明，与现有的分配方法相比，我们的分配方法是最公平的。
In this paper, we design characteristic functions based on DEA (data envelopment analysis) efficiency, and propose a modified Shapley value to solve the resource allocation problem in a fair way, which deals with a set of comparable and homogeneous DMUs (decision making units). In addition, we establish a new Gini coefficient to reflect the fairness of resource allocation plan, by regarding the DEA efficiency and resource portion allocated to each DMU as service unit and equity unit, respectively. Numerical examples are presented to illustrate the proposed approach. The examples show that our allocation approach is the most equitable one compared with other existing approaches.