运筹学学报 >
2024 , Vol. 28 >Issue 4: 75 - 90
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2024.04.007
考虑后悔规避的基于数据包络分析的资源配置方法
收稿日期: 2021-04-06
网络出版日期: 2024-12-20
基金资助
国家自然科学基金(61773123);国家自然科学基金(71701050);福建省社科研究基地重大研究项目(FJ2020MJDZ016);福建省自然科学基金面上项目(2021J01568);重庆师范大学博士启动基金项目(23XWB008)
版权
Study on DEA-based resources allocation with regret aversion
Received date: 2021-04-06
Online published: 2024-12-20
Copyright
王旭, 王应明, 蓝以信 . 考虑后悔规避的基于数据包络分析的资源配置方法[J]. 运筹学学报, 2024 , 28(4) : 75 -90 . DOI: 10.15960/j.cnki.issn.1007-6093.2024.04.007
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.
| 1 | CharnesA,CooperW W,RhodesE.Measuring the efficiency of decision making units[J].European Journal of Operational Research,1978,2(6):429-444. |
| 2 | SueyoshiT,GotoM.DEA environmental assessment in a time horizon: Malmquist index on fuel mix, electricity and CO$_2$ of industrial nations[J].Energy Economics,2013,40,370-382. |
| 3 | SadeghiJ,DehnokhalajiA.A comprehensive method for the centralized resource allocation in DEA[J].Computers & Industrial Engineering,2019,127,344-352. |
| 4 | AngS,LiuP,YangF.Intra-organizational and inter-organizational resource allocation in two-stage network systems[J].Omega,2020,91,102009. |
| 5 | JiangH,WuJ,ChuJ,et al.Better resource utilization: A new DEA bi-objective resource reallocation approach considering environmental efficiency improvement[J].Computers & Industrial Engineering,2020,144,106504. |
| 6 | CookW D,KressM.Characterizing an equitable allocation of shared costs: A DEA approach[J].European Journal of Operational Research,1999,119(3):652-661. |
| 7 | JahanshahlooG R,LotfiF H,ShojaN,et al.An alternative approach for equitable allocation of shared costs by using DEA[J].Applied Mathematics and Computation,2004,153(1):267-274. |
| 8 | 李勇军,梁樑.一种基于DEA与Nash讨价还价博弈的固定成本分摊方法[J].系统工程,2008,6,73-77. |
| 9 | 李勇军,梁樑,凌六一.基于DEA联盟博弈核仁解的固定成本分摊方法研究[J].中国管理科学,2009,17(1):58-63. |
| 10 | ChuJ,WuJ,ChuC,et al.DEA-based fixed cost allocation in two-stage systems: Leader-follower and satisfaction degree bargaining game approaches[J].Omega,2020,94,102054. |
| 11 | LiF,EmrouznejadA,YangG,et al.Carbon emission abatement quota allocation in Chinese manufacturing industries: An integrated cooperative game data envelopment analysis approach[J].Journal of the Operational Research Society,2020,71(8):1259-1288. |
| 12 | LiF,ZhuQ,LiangL.Allocating a fixed cost based on a DEA-game cross efficiency approach[J].Expert Systems with Applications,2018,96,196-207. |
| 13 | YuM M,ChenL H,HsiaoB.A fixed cost allocation based on the two-stage network data envelopment approach[J].Journal of Business Research,2016,69(5):1817-1822. |
| 14 | 张冉,冉伦,杜涛,等.考虑满意度的两阶段DEA固定成本分摊方法[J].中国管理科学,2019,27(2):138-149. |
| 15 | 雷西洋,戴前智,李勇军,等.考虑系统内部平行结构的DEA资源分摊方法[J].中国管理科学,2015,23(1):50-55. |
| 16 | LiF,ZhuQ,ChenZ.Allocating a fixed cost across the decision making units with two-stage network structures[J].Omega,2019,83,139-154. |
| 17 | AnQ,WangP,EmrouznejadA,et al.Fixed cost allocation based on the principle of efficiency invariance in two-stage systems[J].European Journal of Operational Research,2020,283(2):662-675. |
| 18 | Lotfi F H, Jahanshahloo G R, Allahviranloo T, et al. Equitable allocation of shared costs on fuzzy environment[C]//International Mathematical Forum, 2007: 3199-3210. |
| 19 | LotfiF H,NematollahiN,BehzadiM H,et al.Centralized resource allocation with stochastic data[J].Journal of Computational and Applied Mathematics,2012,236(7):1783-1788. |
| 20 | SarahJ,Khalili-DamghaniK.Fuzzy type-Ⅱ De-Novo programming for resource allocation and target setting in network data envelopment analysis: A natural gas supply chain[J].Expert Systems with Applications,2019,117,312-329. |
| 21 | 杨志华,张倩伟.含模糊数据决策单元间的资源分配问题—基于DEA和Shapley值的研究[J].系统工程理论与实践,2016,36(3):719-725. |
| 22 | 张启平,刘业政,李勇军.考虑受益性的固定成本分摊DEA纳什讨价还价模型[J].系统工程理论与实践,2014,34(3):756-768. |
| 23 | FangK,ZhangQ,LongY,et al.How can China achieve its intended nationally determined contributions by 2030? A multi-criteria allocation of China's carbon emission allowance[J].Applied Energy,2019,241,380-389. |
| 24 | LiY,YangM,ChenY,et al.Allocating a fixed cost based on data envelopment analysis and satisfaction degree[J].Omega,2013,41(1):55-60. |
| 25 | AnQ,WenY,XiongB,et al.Allocation of carbon dioxide emission permits with the minimum cost for Chinese provinces in big data environment[J].Journal of Cleaner Production,2017,142,886-893. |
| 26 | DingT,ChenY,WuH,et al.Centralized fixed cost and resource allocation considering technology heterogeneity: A DEA approach[J].Annals of Operations Research,2018,268(1):497-511. |
| 27 | Hatami-MarbiniA,TavanaM,AgrellP J,et al.A common-weights DEA model for centralized resource reduction and target setting[J].Computers & Industrial Engineering,2015,79,195-203. |
| 28 | BellD E.Regret in decision making under uncertainty[J].Operations Research,1982,30(5):961-981. |
| 29 | LoomesG,SugdenR.Regret theory: An alternative theory of rational choice under uncertainty[J].The Economic Journal,1982,92(368):805-824. |
| 30 | 张晓,樊治平,陈发动.考虑后悔规避的风险型多属性决策方法[J].系统管理学报,2014,23(1):111-117. |
| 31 | 张发明,王伟明.基于后悔理论和DEMATEL的语言型多属性决策方法[J].中国管理科学,2020,28(6):201-210. |
| 32 | 张晓,樊治平,陈发动.基于后悔理论的风险型多属性决策方法[J].系统工程理论与实践,2013,33(9):2313-2320. |
| 33 | 王泽林,王应明.基于后悔理论的考虑属性期望的随机多属性决策方法[J].系统工程学报,2020,35(1):48-59. |
| 34 | 郑晶,张恺.考虑决策者后悔规避的瓦斯爆炸案例决策方法[J].浙江大学学报(理学版),2020,47(3):337-344. |
| 35 | 刘善球,王博文.犹豫模糊环境下考虑后悔行为的双边匹配决策方法[J].数学的实践与认识,2020,50(7):97-105. |
| 36 | 刘洋,樊治平,尤天慧,等.事前-事中两阶段突发事件应急决策方法[J].系统工程理论与实践,2019,39(1):215-225. |
| 37 | MichenaudS,SolnikB.Applying regret theory to investment choices: Currency hedging decisions[J].Journal of International Money and Finance,2008,27(5):677-694. |
| 38 | Engelbrecht-WiggansR,KatokE.Regret and feedback information in first-price sealed-bid auctions[J].Management Science,2008,54(4):808-819. |
| 39 | ChorusC G.Regret theory-based route choices and traffic equilibria[J].Transportmetrica,2012,8(4):291-305. |
| 40 | QuigginJ.Regret theory with general choice sets[J].Journal of Risk and Uncertainty,1994,8(2):153-165. |
| 41 | BeasleyJ E.Allocating fixed costs and resources via data envelopment analysis[J].European Journal of Operational Research,2003,147(1):198-216. |
| 42 | 李勇军,梁樑,凌六一.基于DEA联盟博弈核仁解的固定成本分摊方法研究[J].中国管理科学,2009,17(1):58-63. |
| 43 | CharnesA,CooperW W.Programming with linear fractional functionals[J].Naval Research Logistics Quarterly,1962,9(3-4):181-186. |
| 44 | 雷西洋,戴前智,李勇军,等.考虑系统内部平行结构的DEA资源分摊方法[J].中国管理科学,2015,23(1):50-55. |
| 45 | KorhonenP,Syrj?nenM.Resource allocation based on efficiency analysis[J].Management Science,2004,50(8):1134-1144. |
| 46 | 刘海英,王钰.基于历史法和零和DEA方法的用能权与碳排放权初始分配研究[J].中国管理科学,2020,28(9):209-220. |
| 47 | 胡祖光.基尼系数理论最佳值及其简易计算公式研究[J].经济研究,2004,9,60-69. |
/
| 〈 |
|
〉 |
