Ranking decision-making units by imagined grey interval DEA model based on public weights

Author(s):  
Wang Jiefang ◽  
Liu Sifeng ◽  
Zhang Qiaozhan ◽  
Wu Le
2019 ◽  
Vol 49 (7) ◽  
pp. 788-801 ◽  
Author(s):  
Majid Zadmirzaei ◽  
Soleiman Mohammadi Limaei ◽  
Alireza Amirteimoori ◽  
Leif Olsson

In this study, we develop a marginal chance-constrained data envelopment analysis (DEA) model in the presence of nondiscretionary inputs and hybrid outputs for the first time. We call it a stochastic nondiscretionary DEA model (SND-DEA), and it is developed to measure and compare the relative efficiency of forest management units under different environmental management systems. Furthermore, we apply an output-oriented DEA technology to both deterministic and stochastic scenarios. The required data are collected from 24 forest management plans (as decision-making units) and included four inputs and an equal amount of outputs. The findings of this practical research show that the modified SND-DEA model in different probability levels gives us apparently different results compared with the output from pure deterministic models. However, when we calculate the correlation measures, the probability levels give us a strong positive correlation between stochastic and deterministic models. Therefore, approximately 40% of the forest management plans based on the applied SND-DEA model should substantially increase their average efficiency score. As the major conclusion, our developed SND-DEA model is a suitable improvement over previous developed models to discriminate the efficiency and (or) inefficiency of decision-making units to hedge against risk and uncertainty in this type of forest management problem.


Author(s):  
DESHENG WU ◽  
LIANG LIANG ◽  
ZHIMIN HUANG ◽  
SUSAN X. LI

This paper proposes an aggregated ratio analysis model which can be utilized to evaluate relative efficiency of decision making units (DMUs). We show that our proposed ratio model is equivalent to the CCR DEA model. This equivalence property offers a great deal of opportunities for DEA to be interpreted and applied in different ways. Our model also offers an insight into the frontier analysis. Whether a DMU is on the frontier or efficient frontier can be informed by using our aggregated ratio analysis. Several results developed in the paper are coincident with that in the literature.


2010 ◽  
Vol 30 (1) ◽  
pp. 1-14 ◽  
Author(s):  
José Virgilio Guedes de Avellar ◽  
Armando Zeferino Milioni ◽  
Tania Nunes Rabello ◽  
Hugo Passos Simão

The Spherical Frontier DEA Model (SFM) (Avellar et al., 2007) was developed to be used when one wants to fairly distribute a new and fixed input to a group of Decision Making Units (DMU's). SFM's basic idea is to distribute this new and fixed input in such a way that every DMU will be placed on an efficiency frontier with a spherical shape. We use SFM to analyze the problems that appear when one wants to redistribute an already existing input to a group of DMU's such that the total sum of this input will remain constant. We also analyze the case in which this total sum may vary.


2015 ◽  
Vol 16 (1) ◽  
pp. 97-112
Author(s):  
Adam Kucharski

AbstractOne of the most important criteria dividing countries on developed and developing is technological level of the economy which is a derivative of R&D. We showed in the article, that only a rather small group of voivodships was characterized by a full efficiency of converting the expenditure into effects. Low values of efficiency indices pay attention for all ineffective provinces. It won’t be possible to say about none of them, that it found near the efficiency border which accompanied by large differences between decision making units. The non-radial DEA model showed that both the internal expenditures (in converting into the thousand residents) and the personnel employed in the R+D work are not used efficiently and what’s more in the considerable degree wherein a first of said inputs research units managed by a little more effectively.


2014 ◽  
Vol 962-965 ◽  
pp. 2831-2837
Author(s):  
Jin Ling Sun ◽  
Juan Pang ◽  
Jun Bian

When dealing with the relationship of inputs and outputs by using DEA model, people often find that part of decision units are non DEA efficient in numerous evaluated decision units. For each decision unit has various internal situations, and the external environment is also relatively complex, the strategy space that managers can take should also be diversified.Therefore,the improving methods must also be diversified. The paper will combine potential problems with the non-DEA efficient decision making units to study several different improving models.Managers can choose different improving methods according to different strategy space to enable the improvement more in line with the actual situation.


2021 ◽  
Vol 27 (spe) ◽  
pp. 97-100
Author(s):  
Haonan Niu ◽  
Yu Zhang

ABSTRACT In order to strengthen the physical education of college students, it is necessary to reasonably allocate university sports public service resources. In order to improve the allocation of university sports resources, this study constructs the Data Envelopment Analysis (DEA) model by analyzing the proportion of public sports service facilities in colleges and universities. Through the selection of input index and output index of sports public service facilities in colleges and universities, as well as selecting 20 colleges and universities as decision-making units, this paper constructs a DEA model, and studies the use of the DEA Tobit two-stage method to evaluate the matching efficiency of public sports service facilities in colleges and universities. The results show that the pure technical efficiency of sports public service facilities in colleges and universities is effective, and the scale efficiency of most colleges and universities is relatively high, and the proportion of sports facilities is relatively reasonable. However, there are still large problems in the proportion of public sports service facilities in colleges and universities, so it is necessary to adjust the proportion and scale of sports facilities allocation reasonably. This study verified the effectiveness of the DEA model in evaluating the proportion of public sports service facilities in colleges and universities, hoping to provide certain reference for improving the proportion of public sports service facilities in colleges and universities.


2012 ◽  
Author(s):  
Mohamad Shukri Abdul Hamid ◽  
Wan Rosmanira Ismail

Kajian ini membincangkan penggunaan kaedah analisis penyampulan data (APD) dalam mengukur kecekapan relatif perkhidmatan perpustakaan di institusi pengajian tinggi awam (IPTA) di Malaysia. Kaedah APD adalah salah satu teknik yang sesuai digunakan untuk menilai kecekapan relatif satu set unit pembuatan keputusan (UPK) yang homogen. Konsep asas APD ialah mengenal pasti UPK yang cekap berbanding dengan UPK yang lain. UPK yang cekap ini dikenali sebagai Pareto optimum dan ianya dijadikan asas untuk perbandingan dengan UPK yang tidak cekap. Dalam kajian ini perpustakaan yang didapati tidak cekap akan dijalankan analisis kedualan supaya ketidakcekapan dapat diterjemahkan kepada bentuk input dan output. Hasil daripada analisis kedualan ini pihak pengurusan dapat melakukan penambahbaikan supaya perpustakaan yang didapati tidak cekap akan mencapai kecekapan melalui pengurangan dalam input dan pertambahan dalam output. Input dan output yang sesuai diambil kira dalam penentuan kecekapan setiap UPK ditentukan menggunakan ujian isotonisiti. Kajian ini dilakukan ke atas 14 buah perpustakaan IPTA di Malaysia dan hasil kajian menunjukkan 8 buah perpustakaan adalah cekap manakala 6 buah perpustakaan tidak cekap. Kata kunci: Analisis penyampulan data; unit pembuat keputusan; kecekapan relatif; set rujukan; pareto optimum This research discusses Data Envelopment Analysis (DEA) model to evaluate the relative performance of public university libraries in Malaysia. DEA model is a suitable method to evaluate relative performances of a set of homogeneous decision–making units (DMUs). The basic concept of DEA is to identify the efficient decision–making units among all DMUs. This efficient DMU is called a Pareto optimal unit and is considered as the standard for comparison of all inefficient DMUs. In this study, the dual analysis will be carried out for the inefficient libraries in order to interpret the inefficiency in terms of the inputs and outputs. The outcomes of this dual analysis will give the management the improvements that need be done to the inefficient libraries, in terms of reducing the inputs and increasing the outputs. Suitable inputs and outputs for evaluating the performance of DMUs are determined using the isotonicity test. The study is carried out on 14 public university libraries and the results showed that 8 libraries are efficient while 6 are inefficient. Key words: Data envelopment analysis; decision-making unit; relative efficiency; reference set; pareto optimal


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