考虑后悔规避的基于数据包络分析的资源配置方法  

Study on DEA-based resources allocation with regret aversion

作　　者：王旭 王应明 蓝以信 WANG Xu;WANG Yingming;LAN Yixin(School of Economics&Management,Chongqing Normal University,Chongqing 401331,China;Schoolof Economics&Management,FuzhouUniversity,Fuzhou 350116,Fujian,China;KeyLaboratoryof Spatial Data Mining&Information Sharing of Ministry of Education,Fuzhou 350116,Fujian,China)

机构地区：[1]重庆师范大学经济与管理学院,重庆401331 [2]福州大学经济与管理学院,福建福州350116 [3]教育部空间数据挖掘与信息共享重点实验室,福建福州350116

出　　处：《运筹学学报(中英文)》2024年第4期75-90,共16页Operations Research Transactions

基　　金：国家自然科学基金(Nos.61773123,71701050);福建省社科研究基地重大研究项目(No.FJ2020MJDZ016);福建省自然科学基金面上项目(No.2021J01568);重庆师范大学博士启动基金项目(No.23XWB008)。

摘　　要：针对决策单元在资源配置中存在倾向选择避免让自己感到后悔的方案的后悔规避心理,提出一种考虑后悔规避的资源配置方法。基于数据包络分析方法对决策单元的配置效率进行测量,区分效益型和成本型资源的效用函数,建立决策单元对资源配置方案的欣喜-后悔函数。通过Max-min欣喜值和Min-max后悔绝对值来确定相应的资源配置方案。研究结果表明,考虑后悔规避的资源配置方法能为决策单元确定一组有效的资源配置方案,并且有助于资源在决策单元间的公平分配。Considering a resources allocation scenario,in which the decision makers always tend to choose an allocation plan that does not render them regret.To this end,this paper proposes to employ regret aversion to help to allocate resources.Firstly,the data envelopment analysis approach is applied to measure the allocation performance.Then,the utility functions of beneficial resources and cost resources are distinguished.Thereafter,the regret value and rejoice value functions for resources allocation are built.With the help of Max-min rejoice value and Min-max regret value,the optimal resources allocation plan is determined.A numerical example is employed to show the applicability of the proposed approach.It shows that the method based on the regret aversion can help the decision maker to find an efficient resources allocation scheme and fairly distribute resources among decision making units.

关 键 词：数据包络分析 资源配置 后悔规避 后悔值 欣喜值 

分 类 号：N94[自然科学总论—系统科学]