A DEA Model with an AHP Restraint Cone

A concept of AHP restraint cone is firstly introduced, and then a DEA model with an AHP restraint cone is imposesed. This model not only remains all the characteristics of the conventional DEA model, but also reflects preference of the decision maker. Some relationships between DEA model and AHP method, on the condition that the judgement matrixes in AHP are completely consistent, is discussed in this paper. Finally, a case study is provided to evaluate 20 junior middle schools of a city in China.     

Integration of α-fairness with DEA based resource allocation model

How to allocate a resource efficiently and fairly attracts the attention of both researchers and practitioners. Data envelopment analysis（DEA） has been brought to bear on its solution. The existing literature applies Gini coefficient to measure the fairness in the resource allocation process. However, the Gini coefficient is inapplicable in many applications. This paper proposes a novel centralized resource allocation model based on DEA that considers both the efficiency and the fairness. This paper adopts a notion of fairness, namely α-fairness that is well studied in welfare economics and is of practical significance. The new model integratesα-fairness with DEA to support resource allocation decisions. It aids decision makers in making a trade-off between the efficiency and the fairness. An illustrative application is used to validate the proposed approach.     

Decision with Grey Correlation and AHP

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Nash Equilibrium with Noncompact and Nonconvex Strategic Set

In the noncooperative game, when considering the existence of solution to classical Nash equilibrium, there is a hypothesis, for each player he (or she) has a nonempty compact convex strategic set and the utility function is continuous. In this paper, under the systematic equilibrium view, a new existence result of solution to Nash equilibrium is obtained by employing the completeness of strategic space and semicontinuity of utility function instead of corresponding compactness and convexity and continuity.     

全局DEA模型研究

在传统ＤＥＡ的基础上提出了全局ＤＥＡ模型,该模型不仅克服了传统ＤＥＡ的局限性,而且以整体效率最优为出发点来优化决策单元的投入和产出分量。案例分析表明此模型切实可行,拓宽了ＤＥＡ的应用。     

Nonlinear Dynamics and Stability of Neural Networks with Delay-Time

In this paper we study the dynamic properties and stabilities of neural networks with delay-time (which includes the time-varying case) by differential inequalities and Lyapunov function approaches. The criteria of connective stability, robust stability, Lyapunov stability, asymptotic atability, exponential stability and Lagrange stability of neural networks with delay-time are established, and the results obtained are very useful for the design, implementation and application of adaptive learning neural networks.     

Consistency Estimations and Asymptotical Properties in AHP with Multi-deciders

1　 Average Value Methods in AHP Model with Multi- decidersFor a complex system ofpolicy decision,itis necessary to bring collective into full play bydrawing on collective wisdom and absorbing all useful idea.There are multi-deciders whomake policy at thi…     

DEA扩展有效的鲁棒性

通过给出决策单元为DEA扩展有效的几个等价命题，来研究扩展有效决策单元的鲁棒性。得到了当输入增加或输出减少后，它仍然保持扩展有效性的一些充分必要条件，还给出了保持扩展有效的判断方法和数值实例，而该方法不需要求文献[3]中的最优基矩阵的逆矩阵，也不需要求解文献[5]中的线性方程组。     

输出/输入比值优势与DEA有效

进一步讨论了多目标规划模型 ( vp)中的 Pareto有效与 DEA有效的关系 ,得到两个重要结论 ,藉此无须求解 DEA模型就能判断某些 Pareto有效 DMU的 DEA有效性。     

DEA有效决策单元判断及排序的新方法

本文首先讨论ＤＥＡ相对效率指数及其对投入产出松驰量的处理方法。然后建立了判断ＤＥＡ有效决策单元的又一数学规划模型,并相应给出了决策单元ＤＥＡ有效的充要条件。最后依据所定义的平均横切效率指标,提出了一种新的ＤＥＡ有效决策单元排序方法.     

基于多目标规划的DEA

单目标的传统ＤＥＡ只能从投入或产出角度测算决策单元的相对最高效率。本文将提出基于多目标的扩展ＤＥＡ，从而可通过投入及产出来测算决策单元相对的平均效率、最高效率及最低效率并研究其相对有效性.     

具有三角模糊要素的非径向DEA模型

在原有的非径向DEA模型基础上进行模糊扩展,建立了输入输出为三角模糊数的非径向DEA模型,并根据模糊规划取α-截集的方法求解模型.在相对已有模糊DEA模型更加合理、更强区分能力的效率测算基础上,定义决策单元的α-水平模糊DEA有效性,从而完成了对决策单元的分类.然后在给定α-水平下对模糊决策单元进行了排序.最后给出了一个算例.     

有关DEA有效决策单元判断定理的探讨

本文对文献［１］中有关ＤＥＡ有效的决策单元的判断定理进行了探讨     

带有净收益约束的DEA方法

本文提出了一种带有净收益非负约束的ＤＥＡ模型,给出了相应线性规划可行域非空的必要条件和充分条件,在此基础上研究了最优解的存在性.     

有关将弱DEA有效性用于预测的探讨

有关将弱ＤＥＡ有效性用于预测的探讨⒇吴文江何静（武汉工业大学北京研究生部，北京１０００２４）ＤｉｓｃｕｓｉｏｎｏｎＵｓｉｎｇＷｅａｋＤＥＡＥｆｉｃｉｅｎｃｙｆｏｒＦｏｒｅｃａｓｔＷｕＷｅｎｊｉａｎｇＨｅＪｉｎｇＡｂｓｔｒａｃｔＴｈｉｓｐａｐｅｒｐｒｅ...     

区间数据包络分析的决策单元评价

定义了区间数据包络分析(DEA)模型。讨论了DMU的最高效率值和最低效率值的求解,从而确定决策单元(DMU)的区间效率值,并依此对DMU进行分类。建立了一个后区间DEA模型,在此基础上定义评价DMU保持其最高效率值的稳定性的指标,实现了对DMU的进一步评价。     

DEA有效的最速性

对非ＤＥＡ有效的决策单元，本文定义了其ＤＥＡ有效的最速性及相关概念，讨论了它的一些性质，给出了计算方法及实例。     

随机DMU相对有效性评价的期望值方法及其应用

ＤＥＡ的随机性研究是目前ＤＥＡ理论研究的前沿。本文基于随机决策单元期望有效性指数的概念,提出了随机ＤＭＵ相对有效性评价的期望值方法,给出了随机ＤＭＵ相对有效的两个定义,并讨论了其相应的求解方法。