考虑竞争视野与利益相关的DEA交叉效率分析

doi:10.3969/j.issn.1001-506X.2020.04.20

Abstract

Abstract:

In the actual competition and cooperation problems, due to the scale difference of the partners or competitors, there exist differential in the interests and competition strength between the decision-making units (DMUs), but the traditional data envelopment analysis (DEA) cross-efficiency model does not consider this factor. Therefore, this paper proposes a DEA cross-efficiency analysis method that considers the competition degree and the stakeholder coefficient between the DMUs. In order to consider the comprehensive information, the information entropy method is used to synthesize the efficiency values of different cross-efficiency models. Compared with the traditional quadratic target model, this method reflects the differences in the degree of interests and competition between the DMUs, and enables the evaluated unit to implement the support means for the partners or the suppression measures for the competitors to different degrees, which can enhance the group advantage of DMU.

Key words: comprehensive evaluation, data envelopment analysis (DEA), cross-efficiency

CLC Number:

Qin SI, Zhanxin MA, Zhihui LIU. DEA cross-efficiency analysis considering competitive perspective and stakeholder[J]. Systems Engineering and Electronics, 2020, 42(4): 887-895.

Figures/Tables 5

Table 1

Table 2

Table 3

Fig.1

Table 4

References 33

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DMU	x₁	x₂	y₁	CCR效率值	模型P₁
DMU₁	2	12	1	1.000	0.660 2
DMU₂	2	8	1	1.000	0.785 7
DMU₃	5	5	1	1.000	0.720 0
DMU₄	10	4	1	1.000	0.680 0
DMU₅	10	6	1	0.750	0.513 3

部门	投入指标			产出指标			CCR效率
部门	x₁	x₂	x₃	y₁	y₂	y₃	CCR效率
1	12	400	20	60	35	17	1.000 0
2	19	750	70	139	41	40	1.000 0
3	42	1 500	70	225	68	75	1.000 0
4	15	600	100	90	12	17	0.819 7
5	45	2 000	250	253	145	130	1.000 0
6	19	730	50	132	45	45	1.000 0
7	41	2 350	600	305	159	97	1.000 0

DMU	模型C₁	模型C₂	模型S₁	模型S₂
1	0.837 6	0.739 4	0.939 8	0.841 6
2	0.718 3	0.736 7	0.953 9	0.957 9
3	0.767 0	0.745 3	0.792 9	0.794 2
4	0.387 2	0.426 6	0.608 3	0.655 3
5	0.657 4	0.728 9	0.878 5	0.842 8
6	0.842 4	0.850 6	0.992 9	0.988 1
7	0.529 4	0.636 2	0.898 8	0.879 7

DMU	模型P₁	模型P₂	模型C₁	模型C₂	模型S₁	模型S₂	综合效率
1	1	3	2	3	3	5	2
2	4	2	4	4	2	2	3
3	3	6	3	2	6	6	4
4	7	7	7	7	7	7	7
5	5	5	5	5	5	4	5
6	2	1	1	1	1	1	1
7	6	4	6	6	4	3	6

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DEA cross-efficiency analysis considering competitive perspective and stakeholder

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