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本文基于两个假设:所有决策单元(DMU)在分配之后达到在共同权重下强CCR有效;最小化分配成本和相应的规模分配成本之间的最大相对差异,利用数据包络分析技术提出了一个极小极大模型来求解固定成本分配问题.在纯投入和纯产出情况下,导出了该极小极大模型的解析解;并在一般情况下,提出了该极小极大模型的相应算法,该算法能够生成一组唯一的固定成本分配解且具有良好的计算有效性.与其它基于类似假设的分配方法相比,新方法能够根据DMU的投入和产出分配成本,从而避免成本间的不恰当差距.数值例子显示了新方法的有效性和优势.
This paper is based on two hypotheses: all decision-making units (DMUs) reach strong CCRs with common weights after allocation; the maximum relative difference between the minimized allocation costs and the corresponding SCA, using data envelopment analysis technique Min-max model to solve the problem of fixed cost distribution. In the case of pure input and pure output, the analytic solution of the maximal maximal model is derived. In the general case, Algorithm that can generate a set of unique fixed cost allocation solutions and has good computational efficiency.Compared with other distribution methods based on similar assumptions, the new method can allocate costs according to the inputs and outputs of DMUs, so as to avoid the cost The numerical example shows the validity and advantages of the new method.