基于效率补偿机制的区间标杆面研究

doi:10.16381/j.cnki.issn1003-207x.2023.0311

Abstract

Abstract:

Due to the input-output data are interval numbers in interval data envelopment analysis（DEA）， the production possibility set（PPS） used as the evaluation reference may not be consistent with the production point of the evaluated decision-making unit（DMU）， which leads to positive and negative spillovers in interval efficiency evaluation. Based on the existing interval efficiency DEA model considering the unity and comprehensiveness of the evaluation， an efficiency compensation mechanism is proposed， and an interactive efficiency evaluation model is constructed based on the best and worst PPS by setting compatible constraints， which reduces the positive and negative spillovers to a certain extent. Subsequently， the spillover of the evaluation results is expressed through the definition of the degree of likelihood between the general interval efficiency and the benchmarking interval， and the accessibility of the decision unit efficiency in conjunction with the spillover degree is defined. The benchmarking in terms of effectiveness and accessibility is defined， which makes the benchmarking construction adaptable to a variety of decision-making environments. Due to the fact that the input-output data of forest carbon sinks is not an accurate value， treating this input-output data as interval numbers is more in line with the actual situation. The method proposed in this article is very suitable forevaluating the efficiency of forest carbon sequestration in China. Choose the forest carbon sink data from remote sensing measurements in 2017 and forestry related data from the same year to evaluate the performance of forest carbon sinks in 30 provinces of China.Based on the efficiency evaluation results， 8 provinces were selected as benchmarking. The results show that these 8 provinces have economic， resource， or management advantages in the development of forest carbon sink， which provides guidance for the development path of forest performance management in China and has practical reference value.

Key words: data envelopment analysis, interval data, efficiency compensation, benchmarking

CLC Number:

C931

Yan HUANG,Li-ye CHEN,Nan WU,Ying-ming WANG,Yong-wu DAI. Study on Interval Benchmarking Based on Efficiency Compensation Mechanism——Taking Forest Carbon Sink Efficiency as An Example[J]. Chinese Journal of Management Science, 2023, 31(12): 317-328.

Figures/Tables 6

DMU	$W I E d ˉ$ （1）	$U I E d ˉ$ （2）	$C I E d (0.3) ˉ$ （3）	$C I E d (0.5) ˉ$ （4）	$C I E d (0.7) ˉ$ （5）	$N I E d ˉ$ （6）
北京市	[0.124, 0.317]	[0.157,0.257]	[0.238,0.243]	[0.158,0.233]	[0.143,0.241]	[0.198,0.209]
天津市	[0.512, 1.338]	[0.650, 1.061]	[0.636,1.036]	[0.607,0.989]	[0.574,0.934]	[0.820,0.831]
河北省	[0.451, 1.223]	[0.533, 1.016]	[0.498,0.943]	[0.485,0.905]	[0.4720,881]	[0.633,0.844]
山西省	[0.347, 1.564]	[0.420, 1.257]	[0.386,1.164]	[0.372,1.105]	[0.361,1.058]	[0.508,1.000]
内蒙古自治区	[0.343, 0.961]	[0.404, 0.788]	[0.388,0.727]	[0.378,0.701]	[0.367,0.678]	[0.496,0.654]
辽宁省	[0.399, 0.882]	[0.491, 0.721]	[0.453,0.666]	[0.434,0.638]	[0.418,0.615]	[0.589,0.600]
吉林省	[0.471, 0.999]	[0.587, 0.802]	[0.543,0.743]	[0.516,0.705]	[0.494,0.675]	[0.643,0.700]
黑龙江省	[0.295, 0.609]	[0.363, 0.497]	[0.344,0.471]	[0.330,0.452]	[0.316,0.433]	[0.405,0.445]
上海市	[0.733, 1.470]	[0.853, 1.209]	[0.806,1.188]	[0.794,1.141]	[0.777,1.089]	[1.000,1.000]
江苏省	[0.705, 1.375]	[0.838, 1.137]	[0.801,1.092]	[0.784,1.066]	[0.762,1.033]	[0.950,1.000]
浙江省	[0.700, 1.434]	[0.831, 1.196 ]	[0.795,1.146]	[0.776,1.098]	[0.751,1.130]	[0.994,1.000]
安徽省	[0.393, 0.877]	[0.499, 0.700]	[0.485,0.682]	[0.464,0.653]]	[0.437,0.617]	[0.552,0.627]
福建省	[0.503, 1.065]	[0.628, 0.873]	[0.595,0.817]	[0.571, 0.785]	[0.549,0.757]	[0.704,0.774]
江西省	[0.424, 0.815]	[0.513, 0.670]	[0.471,0.616]	[0.454, 0.593]	[0.440,0.575]	[0.554,0.623]
山东省	[0.663, 1.563]	[0.814, 1.254]	[0.769,1.193]	[0.734, 1.139]	[0.697,1.085]	[1.000,1.000]
河南省	[0.558, 1.429]	[0.682, 1.148]	[0.635,1.063]	[0.606, 1.009]	[0.584,0.969]	[0.851,0.924]
湖北省	[0.419, 0.926]	[0.525, 0.743]	[0.487,0.691]	[0.463, 0.657]	[0.443,0.628]	[0.594,0.653]
湖南省	[0.333, 0.756]	[0.419, 0.603]	[0.392,0.570]	[0.370, 0.537]	[0.353,0.509]	[0.480,0.524]
广东省	[0.730, 1.450]	[0.851, 1.202]	[0.805,1.135]	[0.793,1.108]]	[0.775,1.078]	[1.000,1.000]
广西壮族自治区	[0.316, 0.773]	[0.429, 0.588]	[0.802,0.542]	[0.481, 0.512]	[0.473,0.565]	[0.435,0.565]
海南省	[0.865, 1.383]	[0.865, 1.172]	[0.818,1.110]	[0.818, 1.091]	[0.818,1.064]	[1.000,1.000]
重庆市	[0.581, 1.090]	[0.580, 0.874]	[0.558,0.835]	[0.536, 0.802]	[0.510,0.768]	[0.688,0.726]
四川省	[0.891, 1.093]	[0.570, 0.891]	[0.547,0.833]	[0.524, 0.802]	[0.500,0.772]	[0.710,0.712]
贵州	[0.852,1.534]]	[0.853, 1.252]	[0.812,1.187]	[0.804, 1.140]	[0.791,1.101]	[1.000,1.000]
云南省	[0.859, 1.491]	[0.859, 1.198]	[0.807,1.152]	[0.796, 1.103]	[0.780,1.059]	[0.989,1.000]
陕西省	[0.347, 0.691]	[0.347, 0.552]	[0.321,0.517]	[0.306, 0.488]	[0.294,0.466]	[0.431,0.440]
甘肃省	[0.985, 1.217]	[0.486, 0.984]	[0.451,0.938]	[0.429, 0.897]	[0.411,0.854]	[0.603,0.786]
青海省	[0.971, 1.888]	[0.871, 1.449]	[0.818,1.438]	[0.818, 1.347]	[0.818,1.234]	[1.000,1.000]
宁夏回族自治区	[0.312, 1.185]	[0.312, 0.959]	[0.288,0.888]	[0.277, 0.846]	[0.268,0.812]	[0.384,0.770]
新疆维吾尔自治区	[0.882,1.811]]	[0.822, 1.376]	[0.790,1.372]	[0.764, 1.286]	[0.729,1.186]	[1.000,1.000]

DMU	P(WIE)	P (UIE)	$P (C I E (0.7))$	$P (C I E (0.5))$	$P (C I E (0.3))$	DMU	P(WIE)	P (UIE)	$P (C I E (0.7))$	$P (C I E (0.5))$	$P (C I E (0.3))$
北京市	IEIA	EIA	IEA	IEA	IEA	河南省	EIA	EIA	IEA	EA	IEA
天津市	EIA	EIA	IEA	IEA	EIA	湖北省	IEIA	IEIA	IEA	IEA	IEA
河北省	EIA	EIA	IEA	IEA	IEA	湖南省	IEIA	IEIA	IEA	IEA	IEA
山西省	EIA	EIA	EA	EA	EIA	广东省	EIA	EIA	EA	EA	EA
内蒙古自治区	IEIA	IEIA	IEA	IEA	IEA	广西壮族自治区	IEIA	IEIA	IEIA	IEA	IEA
辽宁省	IEIA	IEIA	IEA	IEA	IEA	海南省	EIA	EIA	EA	EA	EA
吉林省	IEIA	IEIA	IEA	IEA	IEA	重庆市	EIA	IEIA	IEA	IEA	IEA
黑龙江省	IEIA	IEIA	IEA	IEA	IEA	四川省	EIA	IEIA	IEA	IEA	IEA
上海市	EIA	EIA	EA	EA	EA	贵州	EIA	EIA	EA	EA	EA
江苏省	EIA	EIA	EA	EA	EA	云南省	EIA	EIA	EA	EA	EA
浙江省	EIA	EIA	EA	EA	EA	陕西省	IEIA	IEIA	IEA	IEA	IEA
安徽省	IEIA	IEIA	IEA	IEA	IEA	甘肃省	EIA	IEIA	IEA	IEA	IEIA
福建省	EIA	IEIA	IEA	IEA	IEA	青海省	EIA	EIA	EIA	EIA	EIA
江西省	IEIA	IEIA	IEA	IEA	IEA	宁夏回族自治区	EIA	IEIA	IEA	IEA	EIA
山东省	EIA	EIA	EA	EA	EA	新疆维吾尔自治区	EIA	EIA	EA	EIA	EIA

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Study on Interval Benchmarking Based on Efficiency Compensation Mechanism——Taking Forest Carbon Sink Efficiency as An Example

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