The Research And Application Of Production Cooperation Game Theory Based On DEA

The revenue allocation problem of DEA production games are solved by using the solution of cooperative game.Firstly,the solution of cooperative game is studied.Based on two kinds of complaint values,the least square method is used to simplify the solution process of cooperative game and provide the algorithm satisfying the conditions,which enriches the solution theory of cooperative game;Secondly,according to the uncertainty of production coefficient in DEA production game,the fuzzy DEA linear production game and its application are studied;Then,the network DEA linear production game is studied to make up for the lack of existing literature.The main innovations are as follows:Firstly,based on the optimistic complaint and pessimistic complaint,the quadratic model is established by using the least square method,and the optimistic optimal compromise value and pessimistic optimal compromise value are obtained,which are consistent with the ENSC value and CIS value respectively.But the least square method simplifies the calculation of the primary literature and obtains the explicit solution.At the same time,when ENSCi<v(i),an algorithm satisfying the individual rationality is given,which solves the existing problems in the original paper.Secondly,considering the fuzzy DEA production process with various production parameters and production technology,the fuzzy DEA production game is proposed,which extends DEA production game theory.Firstly,the feasibility and optimality of the revenue model are explained from the resources perspective to provide producers with production decisions;Secondly,from the perspective of optimism and pessimism,the fuzzy DEA production game is transformed into ?-DEA linear production game,and the allocation in the ?-core is obtained by calculating the dual problem;In particular,the revenue model under specific conditions can be allocated directly from the primal problem,which greatly simplifies the calculation steps.Finally,the significance of this paper are illustrated with example of manufacturing virtual machines by cloud service providers.Thirdly,based on the existing two cooperation scenarios,the cooperation scenario of sharing production technology only is proposed innovatively,The network DEA production process with three-stages is considered to make the production adapt to the actual situation.Firstly,the network DEA revenue models in primary non-cooperation and three cooperation scenarios are established,and the influence of resource types on different models is analyzed;Secondly,the network DEA linear production game is defined,which proves that it satisfies the superadditivity and allocates it by Shapley value;Finally,an example of dry longan processing shows the importance of this paper in actual production.