Research On The Allocation Method Of Common Revenue Of An Enterprise Group With Homogeneous Members

With the rapid development of economic integration,the fierce market competition environment puts forward higher requirements for enterprises,such as the ability of enterprises to resist risks and the limitation of business scale.In this context,various types of enterprises need to constantly cooperate,expand their business scale,and form enterprise groups through mutual alliances,mergers and acquisitions to take risks and share benefits at the same time.In an enterprise group,because each member enterprise is an independent profit-making subject,the conflict of interest between them may affect the overall interests of the whole group.Whether the result of common revenue distribution is fair or not directly affects the stability of enterprise group operation and the enthusiasm of member enterprises in the group.Therefore,the rational distribution of common revenue is a common and far-reaching practical problem in modern economic society.This paper proposes an allocation method to solve the problem of common revenue distribution of enterprise groups with homogeneous members.This method takes the common set of weights as the distribution basis and follows two distribution principles,that is,the common weight ratios and efficiency ratios between member enterprises remain unchanged before and after allocation.Firstly,when determining the common set of weights,a DEA model with maximizing the efficiency of the enterprise group as the objective function is proposed.By solving the model,the weights that maximizes the overall efficiency of the enterprise group are obtained.This weights maximizes the overall efficiency of the enterprise group and can be accepted by most member enterprises.Therefore,this weights are used as the distribution basis of common revenue allocation(the common set of weights);Secondly,based on the two distribution principles and the common set of weights,the allocation formula of common revenue is derived;Next,under the framework of DEA,the rationality of the proposed method is proved by mathematical deduction;Finally,the case application of common revenue allocation method is given.Based on practical considerations,the specific application of this method can be divided into two cases: group headquarters participating in common revenue distribution and not participating in distribution.The main work and research results of this paper are summarized as follows:(1)Firstly,it systematically summarizes the research status of common revenue allocation methods at home and abroad,and combs the method of using DEA to solve the common set of weights,which lays a theoretical foundation for the research of this paper.(2)Two principles of common revenue allocation are put forward,that is,the efficiency ratios and common weight ratios among decision-making units remain unchanged before and after allocation.In real life,the distribution of common revenue will not affect the relative relationship of the efficiencies and weights among decision-making units.Based on this,two highly realistic distribution principles are proposed.At the same time,this paper proves the two principles by means of mathematical deduction under the framework of DEA.(3)Build a common weights model.The common set of weights reflects the high consensus among decision-making units,so as to ensure the fairness of distribution results.When determining the common set of weights,this paper proposes a DEA model with the maximization of enterprise group efficiency as the objective function,which avoids the situation that the common set of weights are zero by limiting the virtual weights(the product of the input-output index value of the decision-making unit and the corresponding weight).At the same time,the second objective function is proposed to solve the problem of multiple solutions of the model.Finally,a set of non-zero common set of weights are obtained by solving the weight restriction model.(4)Based on the common set of weights and two distribution principles,the formula of common revenue allocation of enterprise groups is derived.The formula fits the following two actual situations: when the efficiency values of two decision-making units are the same,the larger the investment scale of the decision-making unit,the more common revenue it will share.When the input scale of the two decision-making units is the same,the greater the efficiency value of the decision-making unit,the more common revenue it will share.(5)The proposed method is applied to cases.This paper applies the two cases of enterprise group headquarters participating in common revenue distribution and not participating in distribution.The application results show that the allocation method proposed in this paper is highly in line with the reality and can be accepted by most enterprises.(6)The rational distribution of common revenue is an important activity of enterprise group management,which directly affects the enthusiasm of group member enterprises and the stable operation of enterprise groups.This paper studies the common revenue allocation of enterprise groups with homogeneous members,and puts forward the common revenue allocation method of enterprise groups combined with practice.The allocation method is not only based on the unified allocation basis(the common set of weights of common revenue allocation),but also follows the principle that the efficiency ratios among member enterprises remains unchanged and the common weight ratios remains unchanged before and after common revenue allocation.The distribution results reflect the fairness of common revenue allocation,encourage the member enterprises in the group and promote the development of enterprise groups.