一种基于均衡的医疗资源配置求解方法
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摘要
在医疗系统中,医疗资源的配置通常以资源配置均衡和最大化医疗资源总体收益为目标.为了通用化模型,本文将医疗资源模型化为Agent,提出一种基于社会最优配置的Agent联盟收益均衡配置方法.首先,针对所有可能的联盟求得满足社会最优配置的Agent分组;在均衡配置存在的条件下,使用不断迭代的方式使得个体Agent产生的收益逼近均衡配置状态,得到一个同时具备Agent配置均衡和总体收益最大化两个属性的配置解.在配置护士到病房的应用表明,本方法有效地得到了一个满足利益均衡的联盟策略与收益配置方案.
In the medical system,the medical resource allocation aims at the equilibrium of resource allocation and the maximization of the total revenue. In order to generalize our model,this paper models the medical resource as agent,and presents a methods for finding the equilibrium of resource allocation with agents' alliance based social optimal allocation. Firstly,the agents' groups which meet social optimality are found in the all possible allied pairs;Under the condition of equilibrium exists,the revenue of individual agent will be close to equilibrium after multiple iterations,and an allocation solution which satisfies allocation equilibrium and maximum total revenue is generated. Finally,the example about allocating nurses to sickroom is given to show that this method effectively get an alliance strategy and a revenue allocation scheme satisfied equilibrium.
In the medical system,the medical resource allocation aims at the equilibrium of resource allocation and the maximization of the total revenue. In order to generalize our model,this paper models the medical resource as agent,and presents a methods for finding the equilibrium of resource allocation with agents' alliance based social optimal allocation. Firstly,the agents' groups which meet social optimality are found in the all possible allied pairs;Under the condition of equilibrium exists,the revenue of individual agent will be close to equilibrium after multiple iterations,and an allocation solution which satisfies allocation equilibrium and maximum total revenue is generated. Finally,the example about allocating nurses to sickroom is given to show that this method effectively get an alliance strategy and a revenue allocation scheme satisfied equilibrium.
引文
[1] 吴琪,苗瑞,宋雨沁,等.面向分级诊疗的医疗资源配置决策研究[J].工业工程与管理,2018,23(3):150-156.
[2] 黄舒婷,庞震苗,邹晓琦,等.基于数据包络分析的广东省中医医院医疗资源配置效率分析[J].中国卫生统计,2017(1):118-120.
[3] HERRERA J G,BOTERO J F.Resource allocation in NFV:a comprehensive survey[J].IEEE transactions on network & service management,2017,13(3):518-532.
[4] SFAR A R,CHALLAL Y,MOYAL P,et al.A game theoretic approach for privacy preserving model in IoT-based transportation[J].IEEE transactions on intelligent transportation systems,2019(99):1-10.
[5] CINTUGLU M H,MARTIN H,MOHAMMED O A.Real-time implementation of multiagent-based game theory reverse auction model for microgrid market operation[J].IEEE transactions on smart grid,2015,6(2):1064-1072.
[6] 张映芹,王青.我国城乡医疗卫生资源配置均衡性研究[J].医学与社会,2016(1):7-9.
[7] 曹宇,温小霓.基于系统动力学模型的医疗资源配置与优化[J].现代医院管理,2012,1:19-23.
[8] WEN T,ZHANG Z,QIU M,et al.A multi-objective optimization method for emergency medical resources allocation[J].Journal of medical imaging and health informatics,2017,7(2):393-399.
[9] EICHBAUM,QUENTIN.Better allocation and sharing of resources in global medical education[J].Academic medicine,2017,92(10):1363.
[10] ZHU M,CHEN R,ZHONG S,et al.Medical resource preparation and allocation for humanitarian assistance based on module organization[J].Minerva medica,2017,108(1):20.
[11] ZHANG X,WU K.The construction of evaluation model of Chinese traditional culture multimedia teaching resources allocation in big data environment[C]//International Conference on Intelligent Transportation.IEEE Computer Society,2018.
[12] KUNST R,AVILA L,PIGNATON E,et al.Improving network resources allocation in smart cities video surveillance[J].Computer networks,2018,134:228-244.
[13] FERDOWSI A,SANJAB A,SAAD W,et al.Game theory for secure critical interdependent gas-power-water infrastructure[J].IEEE resitience week(RWS),2017:184-190.
[14] SERRANO R.Cooperative game core and shapely value[M].Encyclopedia of Complexity and System Science.Berlin:Springer-Verlag,2007.
[15] FELE F,MAESTRE J M,CAMACHO E F.Coalitional control:cooperative game theory and control[J].IEEE control systems,2017,37(1):53-69.
[16] CHENG J Q,WELLMAN M P.The WALRAS algorithm:a convergent distributed implementation of general equilibrium outcomes[J].Computational economics,1998,12(1):1-24.
[17] HERNáNDEZ,ROBERTO,CáRDENAS,et al.Game theory applied to transportation systems in smart cities:analysis of evolutionary stable strategies in a generic car pooling system[J].International journal on interactive design and manufacturing,2017.
[18] XIAO-HUI Y U,ZHANG Q.Profit allocation in production cooperative game based on interval shapley value[J].Transaction of Beijing Institute of Technology,2008,28(7):655-658.
[19] ZHANG F,ZHENG Z,JIAO L.Dynamically optimized sensor deployment based on game theory[J].Journal of systems science and complexity,2018,31(1):276-286.
[20] GENG C,QU S Y,XIAO Y Y.Diffusion mechanism simulation of cloud manufacturing complex network based on cooperative game theory[J].Journal of systems engineering and electronics,2018,29(2):103-117.
[21] KUIPERS J,MOSQUERA M A,ZARZUELO,JOSé M.Zarzuelo.Sharing costs in highways:a game theoretic approach[J].European journal of operational research,2013,228(1):158-168.
[2] 黄舒婷,庞震苗,邹晓琦,等.基于数据包络分析的广东省中医医院医疗资源配置效率分析[J].中国卫生统计,2017(1):118-120.
[3] HERRERA J G,BOTERO J F.Resource allocation in NFV:a comprehensive survey[J].IEEE transactions on network & service management,2017,13(3):518-532.
[4] SFAR A R,CHALLAL Y,MOYAL P,et al.A game theoretic approach for privacy preserving model in IoT-based transportation[J].IEEE transactions on intelligent transportation systems,2019(99):1-10.
[5] CINTUGLU M H,MARTIN H,MOHAMMED O A.Real-time implementation of multiagent-based game theory reverse auction model for microgrid market operation[J].IEEE transactions on smart grid,2015,6(2):1064-1072.
[6] 张映芹,王青.我国城乡医疗卫生资源配置均衡性研究[J].医学与社会,2016(1):7-9.
[7] 曹宇,温小霓.基于系统动力学模型的医疗资源配置与优化[J].现代医院管理,2012,1:19-23.
[8] WEN T,ZHANG Z,QIU M,et al.A multi-objective optimization method for emergency medical resources allocation[J].Journal of medical imaging and health informatics,2017,7(2):393-399.
[9] EICHBAUM,QUENTIN.Better allocation and sharing of resources in global medical education[J].Academic medicine,2017,92(10):1363.
[10] ZHU M,CHEN R,ZHONG S,et al.Medical resource preparation and allocation for humanitarian assistance based on module organization[J].Minerva medica,2017,108(1):20.
[11] ZHANG X,WU K.The construction of evaluation model of Chinese traditional culture multimedia teaching resources allocation in big data environment[C]//International Conference on Intelligent Transportation.IEEE Computer Society,2018.
[12] KUNST R,AVILA L,PIGNATON E,et al.Improving network resources allocation in smart cities video surveillance[J].Computer networks,2018,134:228-244.
[13] FERDOWSI A,SANJAB A,SAAD W,et al.Game theory for secure critical interdependent gas-power-water infrastructure[J].IEEE resitience week(RWS),2017:184-190.
[14] SERRANO R.Cooperative game core and shapely value[M].Encyclopedia of Complexity and System Science.Berlin:Springer-Verlag,2007.
[15] FELE F,MAESTRE J M,CAMACHO E F.Coalitional control:cooperative game theory and control[J].IEEE control systems,2017,37(1):53-69.
[16] CHENG J Q,WELLMAN M P.The WALRAS algorithm:a convergent distributed implementation of general equilibrium outcomes[J].Computational economics,1998,12(1):1-24.
[17] HERNáNDEZ,ROBERTO,CáRDENAS,et al.Game theory applied to transportation systems in smart cities:analysis of evolutionary stable strategies in a generic car pooling system[J].International journal on interactive design and manufacturing,2017.
[18] XIAO-HUI Y U,ZHANG Q.Profit allocation in production cooperative game based on interval shapley value[J].Transaction of Beijing Institute of Technology,2008,28(7):655-658.
[19] ZHANG F,ZHENG Z,JIAO L.Dynamically optimized sensor deployment based on game theory[J].Journal of systems science and complexity,2018,31(1):276-286.
[20] GENG C,QU S Y,XIAO Y Y.Diffusion mechanism simulation of cloud manufacturing complex network based on cooperative game theory[J].Journal of systems engineering and electronics,2018,29(2):103-117.
[21] KUIPERS J,MOSQUERA M A,ZARZUELO,JOSé M.Zarzuelo.Sharing costs in highways:a game theoretic approach[J].European journal of operational research,2013,228(1):158-168.