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Some models for estimating technical and scale inefficiencies in DEA

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... In this study, we evaluated the efficiency of small-scale lowland rice farming in CRS, as in Charnes et al. (1978), and VRS, as in Banker et al. (1984). The CRS assumption proposed by Charnes et al. (1978) scored the overall technical efficiency by solving Equation 1 (the objective function of the linear programming model). ...
... The use of the VRS specification will allow the calculation of TE without SE effect. Banker et al. (1984) suggested an extension of the DEA CRS model to account for variable returns to scale (VRS) situations. The CRS linear programming problem can be modified to VRS by adding the convexity constraint: N1'λ =1 on the equation (1): , , Subject to: ≤ , ≥ , 1 ′ = 1, ≥ 0, ...
... (2) Where; N1 = N x 1 vector of ones. The VRS approach, as in Banker et al. (1984), is commonly found on farms. Based on this, we analyzed the efficiency of small-scale lowland rice farming in Indonesia using the DEA, CRS, and VRS approaches. ...
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Rice has historically been very important for humans, especially in Asia, because human life has depended on the quantity and stability of rice production. Most of the rice was produced on a small scale, but small-scale agriculture was a source of inefficiency. Increased efficiency could help lowland rice farmers subsequently, increasing household income. This study was conducted as a survey, collecting data using a questionnaire. Data collected include farmer education, age, gender, farming experience, number of family members, farming scale, use of production inputs, prices of production inputs, participation of female farmers, use of semi-organic fertilizers, rice cultivation systems, and other data related to the objectives of the study. Using the DEA method (Data Envelopment Analysis), this study analyzed the efficiency of lowland rice farming in Indonesia. The results showed that there are inefficiencies in lowland rice farming in Indonesia. This implies that lowland rice farmers in Indonesia have the potential to increase their farming efficiency. Increased efficiency of lowland rice farming could be accomplished by the use of more superior seeds, access to extension services, and cultivation systems (semi-organic and inorganic). In addition, farmers with small-scale farming can join to become large-scale, and managers with less than elementary school education. They could access more counseling so that their experience and knowledge of rice farming increase. Male and female farmers were advised to further increase their available resources so that the efficiency of lowland rice farming could be improved. To increase farming efficiency and farmers' household incomes, the government could more often offer extensions to farmers in rural communities.
... The CRS model, developed by Charnes, Cooper, and Rhodes (namely as the CCR model), assumes that the relationship between the efficiency and scale of operations (technology) remains constant [1]. In contrast, the VRS model, developed by Banker, Cooper, and Charnes (namely as the BCC model), considers the variability in the operation's scale [2]. Differing from the CCR model, the BCC model considers that the DMU's efficiency can vary based on whether it operates in the region of CRS, Decreasing Returns to Scale All the aforementioned network DEA models utilize radial efficiency measures, which assume proportional changes in inputs and outputs [10]. ...
... Lozano and Villa [28] pioneered an integer radial DEA model, assuming all inputs or outputs are integer values. Nevertheless, this is a significant limitation: it violates key DEA principles such as free disposability, convexity, and CRS [2]. To address this limitation, Kuosmanen and Matin [29] introduced new axiom foundations for integer-valued DEA models, introducing a new Production Possibility Set (PPS) that accommodates both non-integer and integer inputs and outputs within the BCC model. ...
... Past researchers have explored non-radial integer-valued DEA models as alternatives to the radial model, drawing from the foundational principles outlined by Matin and Kuosmanen [30]. For instance, Matin [31] presented a novel concept, incorporating integer-valued data into the additive model initially proposed by Banker et al. [2]. An approach for achieving super efficiency in an additive integer-valued DEA model has also been introduced, which involves a two-stage process to categorize DMUs as either inefficient or efficient [32]. ...
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This study develops an alternative approach to the parallel network Slack-Based Measure (SBM) Data Envelopment Analysis (DEA) model, offering a more accurate and informative assessment of performance within a network system. Traditional DEA models solely focus on the input utilization and the outputs produced when assessing efficiency, disregarding the operation of internal processes within a network system. In addition, these approaches do not assess the concurrent requirement of hybrid integer-valued data and uncontrollable factors on efficiency measures. To address these gaps, we propose a novel approach to parallel network SBM DEA model that integrates hybrid integer-valued data with uncontrollable factors, aiming for a more precise evaluation. Both requirements were initially integrating into the existing method. Subsequently, the optimal solution for the proposed method was achieved by converting its fractional form into a linear one. Therefore, the measures of the proposed approach can now deal directly with controllable hybrid integer- valued input and output slacks. We applied this model to a dataset of 26 faculties in a Malaysian public university, followed by a comparative analysis with existing models. Empirical findings indicate that four (4) faculties are found to be overall effective, as all of their internal processes are effective, while the other faculties are ineffective since not all of their internal processes are effective. The results from our model enable decision-makers to identify ineffectiveness within network processes, thereby facilitating targeted improvements in system performance. By concentrating on the appropriate processes, management can enhance their overall effectiveness and internal effectiveness.
... The data-wrapping analysis model was first developed in the 1950s by Debreu (1951), Koopmans (1951) and Farrell (1957). He advanced further refinements with Charnes et al. (1978) and Banker et al. (1984), giving rise to the current method. The two main models are CRS (constant scale returns) and VRS (variable scale returns). ...
... For modifications to variables, they can be oriented to Input or Output. There are four main categories of models: VRS/Input, CRS/Output, VRS/Input and CRS/Output (Banker et al., 1984). ...
... The proposed study used the variable return scale (VRS) model guided by input deducted by Banker et al. (1984). Its primary formulation, defined as the Multiplier Model, is determined by equation 1. ...
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Objective: The objective of this study is to evaluate the environmental efficiency of municipalities located in the Araguaia River Valley, in the State of Mato Grosso, Brazil, focusing on the relationship between economic development and sustainability, aiming to identify practices that promote the conservation of biodiversity and the reduction of environmental impacts. Theoretical Framework: The text addresses concepts of sustainable development and sustainability, highlighting important distinctions between them. It highlights the relevance of urban planning, in association with the Sustainable Development Goals, as a tool for including environmental factors in promoting environmental quality and the well-being of communities. In this sense, the rational use of natural resources appears to be a preponderant and essential factor in ensuring sustainability and promoting balanced development. Method: This is a qualitative and quantitative approach. The data were obtained through the Brazilian Institute of Geography and Statistics website for the Gross Domestic Product variable and on the Terrabrasilis website for the deforestation variable, involving 25 municipalities in Mato Grosso, in the Araguaia river basin. Based on the data, the R software was used to process the information, using a mathematical model based on Data Envelopment Analysis. Results and Discussion: The results showed a low level of environmental efficiency in the VRS model, with average values of 0.25762 (2017), 0.21655 (2018), 0.36978 (2019), 0.214396 (2020) and 0.28803 (2021). A minority of municipalities were highlighted in environmental efficiency, indicating that they are located on the DEA production frontier, pointing to a balance between environmental protection and economic growth. The success of the municipalities that stood out demonstrates the importance of planning, social mobilization and commitment, it is possible to reverse or minimize the scenario of environmental degradation. Research Implications: The study points to the need for public policies aimed at improving the environmental efficiencies of municipalities that showed lower performance, especially minimizing deforestation. Originality/Value: The originality of the study focuses on the importance of studies aimed at measuring environmental efficiency in the municipalities that make up the cerrado, highlighting the importance of preserving and conserving this biome.
... initially developed by (Charnes, Cooper, & Rhodes, 1978), has subsequently been adapted and modified by (Banker, Charnes, & Coopers, 1984). ...
... As developed by (Charnes, Cooper, & Rhodes, 1978), and modified by (Banker, Charnes, & Coopers, 1984), the model is formulated as following: ...
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The study measured efficiency of maize production in Uganda. The study aimed at achieving two objectives i.e., to establish the performance of maize production in Uganda (at ZARDI and District level) and to determine how much inputs are required for the inefficient Decision Making Units to achieve maximum efficiency. The study used secondary data collected by National Agricultural Research Organisation(NARO) on 1445 maize and bean farmers in Uganda in 2020. The study used the Output oriented Data Envelopment Analysis model that basically answers two questions i.e., which DMUs performs better than the other and what is required to make the inefficient ones efficient. From the findings, only Bulindi ZARDI was established inefficient only operating at 95% among the ZARDIs. At district level, Kiryandongo, Masindi, Bugiri, Kiboga, Sironko, Nakaseke, Bukwo, Kole, Kakumiro, Kyankwanzi, Mityana and Iganga were marked as inefficient implying operating below 100% capacity. Sensitivity analysis on benchmarks, shadow price and slacks were done to answer the second objective. The bench mark analysis was done to establish where inefficient DMUs should draw lessons from. The shadow price analysis was done to show the unit worth of inputs ie the marginal effect/productivity of a resource to the final efficiency score. The slack analysis showed room for improvement for inefficient DMUs to be efficient. Bulindi which is inefficient among the ZARDIs has a considerable surplus of excess capacity of inputs i.e., 89.02 acres, 974 persons of Hired Labour, 16.4 litres of herbicides, 29.7 litres of pesticides, 6.45kgs of inorganic fertilizers and 4.63 litres of inorganic fertilisers suggesting optimum resource allocation and utilization of underutised resources. The inefficient districts have an excess capacity of Acreage under Maize Production, Hired Labour, Family Labour, Herbicides in litres, Pesticides in litres, Organic Fertilisers (Manure)-kg, Inogarnic Fertilisers(kg) and Inorganic Fertilisers in litres by 267.89, 968, 1463, 29.34, 37.17, 4.84, 45.16 and 18.46 units respectively suggesting suggesting need for improvement in the utilization of resources (since the resources are underutilized). The study suggested recommendations that include redistributing excess inputs, optimizing resources and improving input usage,, facilitating knowledge transfer, capacity building and training, monitoring and evaluation, research & innovation and financial support for technology adoption to improve maize production in Uganda.
... In DEA, a DMU's performance is always assessed by contrasting it with the efficiency frontier that was established from the data. There are two fundamental DEA models: the Constant Return to Scale (CCR or CRS) model with constant returns to scale and the Banker, Charnes and Cooper (BCC) model with variable returns to scale (Charnes, et al., 1978& Banker, et al., 1984. ...
... The input and output variables in the BCC model are subject to proportional change, depending on whether the returns to scale are increasing or falling. BCC model has a convex line efficiency frontier, thus reducing the distance to the efficiency frontier for the identified inefficient DMUs (Banker, et al., 1984). ...
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Trade hubs and wholesale markets are major freight handling/generating areas in cities involved in urban and regional goods distribution. Freight transport infrastructure is capital intensive which requires due diligence to get maximum benefits and efficiency with overall sustainable city development. Due to the scarce availability of land in urban areas, there is a need for optimum usage of freight handling areas in cities. This research study aims to compare the performance and efficiency of different wholesale markets of Jaipur City in India. This research paper is based on an empirical study carried out in the city of Jaipur. The paper assesses the efficiency of five major freight handling areas in case a city using the Data Envelopment Analysis (DEA) method. Primary data for operational efficiency of freight handling areas supplemented by secondary data for the year 2019 is used for DEA analysis. DEA CRS-based efficiency model is used for assessing the efficiency analysis of freight handling areas. A sensitivity analysis of parameters has been carried out to assess the robustness of the results. Based on the findings, recommendations were made at the policy level to improve the overall efficiency and effectiveness of freight management.
... The data-wrapping analysis model was first developed in the 1950s by Debreu (1951), Koopmans (1951) and Farrell (1957). He advanced further refinements with Charnes et al. (1978) and Banker et al. (1984), giving rise to the current method. ...
... For modifications to variables, they can be oriented to Input or Output. Thus, there are four main categories of models: VRS/Input, CRS/Output, VRS/Input and CRS/Output(Banker et al., 1984). ...
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Full-text available
Objective: The objective of this study is to evaluate the environmental efficiency of municipalities located in the Araguaia River Valley, in the State of Mato Grosso, Brazil, focusing on the relationship between economic development and sustainability, aiming to identify practices that promote the conservation of biodiversity and the reduction of environmental impacts. Theoretical Framework: The text addresses concepts of sustainable development and sustainability, highlighting important distinctions between them. It highlights the relevance of urban planning, in association with the Sustainable Development Goals, as a tool for including environmental factors in promoting environmental quality and the well-being of communities. In this sense, the rational use of natural resources appears to be a preponderant and essential factor in ensuring sustainability and promoting balanced development. Method: This is a qualitative and quantitative approach. The data were obtained through the Brazilian Institute of Geography and Statistics website for the Gross Domestic Product variable and on the Terrabrasilis website for the deforestation variable, involving 25 municipalities in Mato Grosso, in the Araguaia river basin. Based on the data, the R software was used to process the information, using a mathematical model based on Data Envelopment Analysis. Results and Discussion: The results showed a low level of environmental efficiency in the VRS model, with average values of 0.25762 (2017), 0.21655 (2018), 0.36978 (2019), 0.214396 (2020) and 0.28803 (2021). A minority of municipalities were highlighted in environmental efficiency, indicating that they are located on the DEA production frontier, pointing to a balance between environmental protection and economic growth. The success of the municipalities that stood out demonstrates the importance of planning, social mobilization and commitment, it is possible to reverse or minimize the scenario of environmental degradation. Research Implications: The study points to the need for public policies aimed at improving the environmental efficiencies of municipalities that showed lower performance, especially minimizing deforestation. Originality/Value: The originality of the study focuses on the importance of studies aimed at measuring environmental efficiency in the municipalities that make up the cerrado, highlighting the importance of preserving and conserving this biome.
... Data envelopment analysis (DEA) model: input-oriented model DEA was selected due to its suitability for evaluating the relative efficiency of traditional Chinese medicine hospitals, considering multiple input and output measures simultaneously. Instead of measuring efficiency based on averages, the DEA model is more consistent with economic theory and locates technical or Pareto inefficiencies (22), which is a method for identifying and correcting the magnitudes of these inefficiencies (23). It is widely used for the evaluation of the relative efficiency and performance of a set of decision-making units (DMUs), usually including input and output orientations. ...
... Researchers tend to choose suitable DEA models depending on their research purpose. For instance, the BCC model can be used to evaluate the relative efficiency of minimal input consumption for a given level of outputs, or the increase in output for a given input (17,23). Many hospital providers are expected to provide a given level of healthcare services with the maximal resources. ...
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Aim This study aimed to evaluate the operational efficiency of traditional Chinese medicine (TCM) hospitals in China. Methods Pearson’s analysis was used to test the correlation between the input and output variables. Data envelopment analysis (DEA) was utilized to analyze the input and output variables of 16 TCM hospitals, and each hospital efficiency score was computed by Deap 2.1, assuming variable return to scale (VRS), which is an input-oriented model. t tests were conducted to confirm the significant difference of efficiency scores at the hospital level and by hospital type, and ANOVA was used to test for significant differences in efficiency scores according to hospitals’ size. Results The correlation coefficient of the input and output indicators was between 0.613 and 0.956 (p < 0.05). The difference in number of doctors (ND) and numbers of pharmacists (NP) were statistically significant (p < 0.05) at the hospital level. The mean efficiency scores for technical efficiency (TE), pure technical efficiency (PTE), and scale efficiency (SE) in secondary TCM hospitals were 0.766, 0.919, and 0.838, respectively. Additionally, the lowest TE, PTE, and SE were 0.380, 0.426, and 0.380, respectively. Eight TCM hospitals in this study were DEA efficient, with an efficiency score of 1. There were no statistically significant differences in TE, PTE, and SE among hospital levels, hospital types or hospital sizes groups (p > 0.05). Conclusion This study revealed that tertiary TCM hospitals had a greater level of efficiency than secondary TCM hospitals. In our study, 50% of TCM hospitals had inefficient management. Therefore, to activate the new development power of TCM hospitals, it is necessary to reform and improve the management system and mechanism of TCM hospitals, optimize the development environment of TCM hospitals and formulate development plans and measures based on local conditions.
... If the efficiency is not constant on a scale, the CCR model is not able to calculate efficiency and productivity. To solve this problem, Banker, Charans, and Cooper [28] proposed the BCC model, in which return to scale may vary. ...
... In evaluating the efficiency of units, whenever incomplete competition space and conditions impose restrictions on investment; Causes unit inactivity on an optimal scale [27]. In 1984, Banker, Charnes and Cooper [28] presented a new model by changing CCR concerning the first letters of their names, it was known as the BCC model. The BCC model is a model of the DEA model that deals with the evaluation of the relative efficiency of units with variable returns to scale [27]. ...
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The complexity of the competitive business environment has highlighted the need to be aware of the organization's strengths and weaknesses and to continuously improve processes. Therefore, managers are looking for a solution for performance measurement of their organization to be able to promote and improve their organization. Evaluating the performance of listed companies in the stock exchange organization is important because, in addition to the managers of the organizations, stock traders can also evaluate the companies and make the necessary decisions about holding, selling or buying the shares of these companies in a timely manner. One of the organization's performance measurement solutions is to use financial ratios. Given that a separate study of financial ratios does not provide a correct view of the efficiency of the organization, so the aggregation of the effect of financial ratios seems to be effective. DEA and MCDM methods are suitable because they enable the achievement of the performance index by considering several factors simultaneously, so the performance obtained from this method is reliable. the main purpose of this study is to rank pharmaceutical companies in the Tehran Stock Exchange between the years 2018 and 2020 using the DEA approach and MCDM and provide a single ranking through the Copeland method.
... Since port policies are still being refined, there is imperfect competition in the market, and ports operate under non-ideal conditions, it is impossible to determine whether the port is in a situation that is increasing or decreasing returns to scale. Therefore, considering the various internal structures, the DEA-BBC model proposed by Banker, Cooper, and Charnes (1984) is employed to examine the technical efficiency (CRSTE), pure technical efficiency (VRSTE) and scale efficiency (SCALE) of port logistics in this study. The DEA-BBC model of the port logistics industry is expressed as below. ...
... CRSTE was further decomposed into pure technical efficiency (VRSTE) and scale efficiency (SCALE) under the assumption of constant returns to scale [33]. These concepts reflect the management, institutional, and scale levels of each region. ...
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Ports are critical centers of international trade and global logistics now that economic globalization has taken hold. The efficiency performance of port logistics is crucial to building an emerging pattern of development in which domestic and foreign dual cycles are complementary for China. This paper examines the efficiency performance of 19 ports within five major economic circles in China. It explores how their efficiency is distributed, and the configurations of efficiency improvement during the new normal of China’s economy. First, the DEA-BCC model is employed to calculate the technical efficiency performance and distribution of each port from 2011 to 2020. Then, fuzzy-set qualitative comparative analysis (fsQCA) was applied to integrate and analyze the influencing factors. The results show as follows: (1) Each port group performed differently on efficiency rankings, as well as regional distributions. Among these, the port groups of the Bohai Rim region, the Yangtze River Delta region, and the Bohai Rim region continue to rank highly. (2) From the perspective of configuration analysis, the results suggest that government support is not necessary for port logistics with better economic endowments. However, it is critical for backward ones. (3) A rational industrial structure can enhance levels of infrastructure, openness, and information technology, improving port performance. The findings can provide theoretical and practical references for better promoting the development of Chinese port management.al references for better promoting the development of Chinese port management.
... The first is the constant returns to scale model [38]. The second is the variable returns to scale model [39]. Other authors have adopted an exhaustive approach to the DEA method by extending its field of application [40][41][42]. ...
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In a context where public decision-makers are faced with the complexity of measuring the efficiency of social entrepreneurship incubators, the aim of this study is to analyze this efficiency by studying its determinants. Based on a sample of 40 youth National Initiative for Human Development (NIDH) platforms in Morocco and by using the Data Envelopment Analysis (DEA) method, only 10 showed overall efficiency due to problems of scale, i.e., a poor “resources-results” combination (Inputs-Outputs). The average technical efficiency of the platforms is 78.9%, indicating a need for improvement of 21.1%, due mainly to the poor results of “VSE or developed cooperatives (VSECD)” leading to excessive waste of “income improvement actions (IIASSE)” resources. The study suggests that public decision-makers should use the DEA method to determine the value of efficiency, the ranking of platforms and the analysis of resource combinations (inputs) in order to evaluate, reconfigure and improve the activity of these structures.
... Building on the pioneering work of Farrell (1957), Charnes et al. (1978) propose a linear programming model to maximize outputs with the available resources (output orientation, oo) or vice versa, to minimize inputs to obtain a given level of production (input orientation, io), all in an environment of constant returns to scale. In order to provide greater flexibility, Banker et al. (1984) introduce the possibility that inputs/outputs may vary in different proportions, variable returns to scale (VRS), which better approximates actual events. ...
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In recent decades, there has been a massive replacement of flood irrigation with drip irrigation throughout the world. Numerous studies have been published on the efficiency of these techniques in terms of water savings, but few works have paid attention to their economic efficiency at farm scale. In this research, a two-stage methodology has been used for this purpose, developed in three irrigated areas of the region of Valencia (Eastern Spain). In the first stage, interviews were conducted with experts from irrigation communities and cooperatives, and in the second stage, an efficiency analysis was carried out using Data Envelopment Analysis (DEA). It is concluded that, although the cultivation costs of drip irrigation are lower and the technology gap (TGR K) is smaller than flood irrigation, there is much room for improvement. Policies to promote the installation of localised irrigation should include complementary measures to ensure the viability of modernised farms.
... Çıktı yönelimli modelde girdi düzeyi sabit tutularak çıktı düzeyinin en üst seviyeye çıkarılması yani çıktı maksimizasyonu esasına dayanır (6). Ayrıca bu yöntem ölçeğe göre getiri durumunu sabit getiriler (CCR) ve değişken getiriler (VRS) açısından değerlendirmeye imkân sağlar (6,7). VZA literatürde 1950'lerden sonra araştırmalarda yer almaya başlamıştır (8). ...
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Sağlık hizmetlerinde verimlilik değerlendirmeleri, sağlık alanındaki kaynakların (sağlık profesyonelleri, tıbbi ekipmanlar, finansal kaynaklar, sağlık kurumları vb.) sağlık hizmetine dönüşmesinde etkin bir şekilde nasıl kullanıldığı hususunda kanıtlar sunan ve bu kaynakların ihtiyaçlar doğrultusunda optimal şekilde tahsisini sağlanması ile sağlığa erişim ve hakkaniyet açısından oluşabilecek sorunları önleyen bir yaklaşımdır. Bu araştırmanın konusunu Türkiye’de iller düzeyinde sağlık hizmetlerine erişimi gösteren hekime müracaat sayılarına ait teknik etkinlik düzeylerinin memnuniyet ile ilişkilendirilerek ölçülmesi amacıyla yapılmıştır. Araştırma Veri Zarflama Analizi kullanılarak yapılmış, kapasite kullanımına işaret eden hekime ve diş hekimine müracaat sayıları girdi değişkeni, sağlık hizmetlerinden memnuniyet düzeyi çıktı değişkeni olarak tanımlanmıştır. Analizler sabit getiriler (CCR) girdi ve çıktı yönlü modeller kullanılarak gerçekleştirilmiştir. Araştırmadan elde edilen bulgulara göre Türkiye’de illerin ortalama etkinlik skoru 0,703 tespit edilmiş, 81 ilin %2,5’i tam etkin değerlendirilirken %97,5’i etkin bulunmamıştır. Yine bulgulara göre mevcut memnuniyet düzeyinin korunması ya da projekte edilen memnuniyet düzeyine ulaşılabilmesi durumunda kişi başı hekime müracaat sayılarında 0,12-3,19 br., kişi başı diş hekim müracaat sayılarının 0,04-0,23br. arasında azaltılması gerektiği hesaplanmıştır. Toplamda müracaat sayılarından kaynaklı verimsizliğin maliyeti 360 milyon-7,7 milyar arasında değişmekte ve toplam sağlık harcamalarının da %0,059-1,28’e işaret etmektedir.
... ; sÞ. In our application of the DEA model to port resilience, we align with the foundational framework of Banker, Charnes, and Wager Cooper (1984), assuming variable returns to scale (VRS). This assumption allows our model to accommodate the diversity in operational scales across ports, acknowledging that efficiency improvements are not necessarily proportional to increases in inputs. ...
... [30] [31].The primary concept of measuring the effectiveness of the decision maker (DMU) is formalized in the form of a mathematical model of linear programming that can be expressed by the following mathematical expression (Eq. ...
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Railway transport plays an important role in a country's economic development. Efficiency is one of the most significant performance indicators in the railway sector. Evaluating, monitoring, and improving efficiency is the main goal of every railway company. Different parametric and non-parametric approaches have been used in the literature and in practice to measure and compare the performance of railway companies. DEA (Data Envelopment Analysis) is a non-parametric linear programming technique that is successfully used in evaluating and comparing the efficiency of entities in the service sector. Based on the DEA method, it can be determined whether the DMU units are inefficient compared to the efficient units. Also, it can be concluded how much it is necessary to reduce the input or increase the output for the units to become efficient. Four inputs and two output parameters were used during the measurement of the efficiency of freight rail transport in the Republic of Serbia for the period from 2011 to 2022.
... What comes to mind when dealing with DEA methodology is what approach is more suitable to follow, or as Tone [34] stated, efficiency measurement ought to denote which input(s) and output(s) variables are either radial or non-radial. Two common DEA models have been created by Charnes et al. [32] and by Banker et al. [35]. However, both models follow the radial approach, meaning that they ignore the non-radial slacks of inputs and outputs as well. ...
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The European fashion industry can tackle parameters such as energy and carbon intensities, aiming to contribute to the sustainable development goals (SDGs) 9 and 12 under the scope of circular economy (CE) principles. The present paper measures eco-efficiency of fashion industry in 22 European countries via a hybrid window data envelopment analysis (WDEA) methodology by employing a short- and a meso-term policy. The inputs are gross fixed capital formation, labor force, and energy intensity value added, additionally value added, and carbon intensity value added are the desirable and undesirable outputs, respectively. The findings show that the meso-term (i.e., five-year) policy has an average eco-efficiency equal to 74.12%, while the short-term (i.e., three-year) policy has 69.15%, leading to the conclusion that a meso-term is better for following circular economy (CE) pathways. The two time-related models’ distinction would be examined regarding its geographic importance, aiming to answer whether there is integration in the European fashion industry. Overall, Western Europe has better eco-efficiency than Eastern Europe due to labor-intensity issues. In essence, the greening of European fashion industry can be done through CE solutions.
... Ele foi apresentado em um artigo publicado na Management Science em 1984 e parte do pressuposto de que as Unidades Tomadoras de Decisão podem apresentar retornos variáveis de escala. Sendo assim, um aumento dos insumos não necessariamente acarretará em um aumento proporcional no volume dos produtos (BANKER; CHARNES; COOPER, 1984). ...
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RESUMOConsiderando que os partidos políticos são mantidos quase integralmente com recursos públicos e conhecendo sua importância para o crescimento econômico de uma nação, faz-se necessário observar como se encontra a eficiência de tais entidades no cenário político brasileiro. Sob este enfoque, esta pesquisa teve o objetivo de analisar a eficiência relativa eleitoral dos partidos políticos brasileiros nos anos 2016 e 2018. Trata-se de uma pesquisa descritiva com abordagem quantitativa, sendo utilizado o método matemático Análise Por Envoltória de Dados (DEA) para o alcance dos resultados. Foram definidos, como fatores de input, o total de candidaturas e os recursos do Fundo Partidário e do Fundo Eleitoral recebidos por cada partido. Como output, considerou-se a quantidade de candidatos eleitos. Os resultados identificaram uma grande diferença entre os recursos públicos distribuídos às instituições, uma vez que alguns partidos, como o MDB e PSDB, foram beneficiados com uma quantia de até cem vezes superior ao valor oferecido para outras entidades. Entretanto, o DEA pôde constatar que partidos relativamente pequenos e com menos recursos financeiros, tais como o PMB e o NOVO, foram capazes de atingir índices de eficiência similares ou até maiores que os índices conquistados por certos partidos com mais dinheiro em caixa.PALAVRAS-CHAVE: Partidos Políticos; Análise Envoltória de Dados; Eficiência.ABSTRACTConsidering that political parties are almost entirely maintained with public resources and knowing their importance to the economic growth of a nation, it is necessary to observe how the efficiency of such entities goes in the Brazilian political scenario. Under this approach, this research aimed at analyzing the relative electoral efficiency of Brazilian political parties in the years 2016 and 2018. This is a descriptive research study with a quantitative approach. It was used the mathematical method Data Envelopment Analysis (DEA) to achieve the desired results. As input factors, the total number of candidates and resources of the Partisan Fund and Electoral Fund received by each party was collected. As output, it was considered the number of candidates elected. The results identified a wide difference between the public resources distributed to the institutions, given that some parties, such as MDB and PSDB, received up to one hundred times more of the amount offered to some other entities. However, the DEA found that relatively small parties with less financial resources, such as PMB and NOVO, were able to achieve similar or even greater efficiency in numbers than those achieved by some parties with more cash at hand.KEYWORDS: Political Parties; Data Envelopment Analysis; Efficiency.
... There is a very rich literature devoted to the development and application of DEA models (Andersen and Petersen, 1993;Banker et al., 1984;Chen et al., 2021, Chang & Wang, 2020Dobrovič et al., 2021;Guo et al., 2020;Lee et al., 2011;Lin et al., 2020;Pendharkar, 2021;Podinovski & Bouzdine-Chameeva, 2021;Rostamzadeh et al., 2021;Tone, 2002). In the case of trade, the components of the strategic profit model (net profit, sales, assets, capital) can be used as input-output elements in DEA models. ...
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... Para intentar contabilizar este efecto en la obtención de la eficiencia, en 1984 se presentó el modelo DEA para retornos variables a escala, desarrollado por Banker, Charnes y Cooper (BCC), este modelo permitirá calcular la eficiencia técnica pura (ETP), esto es, la eficiencia separándola de los efectos de escala (Banker et al. 1984). ...
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... This approach can lead to conflicting results due to the need to calculate multiple ratios to capture various performance dimensions 41 . The second approach uses non-parametric econometric techniques like DEA, which computes a comprehensive efficiency index [42][43][44][45] . Our work is grounded in this second stream, as DEA has been widely used to assess the relative performance of healthcare organizations and identify ways to improve their efficiency 46 . ...
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... Para intentar contabilizar este efecto en la obtención de la eficiencia, en 1984 se presentó el modelo DEA para retornos variables a escala, desarrollado por Banker, Charnes y Cooper (BCC), este modelo permitirá calcular la eficiencia técnica pura (ETP), esto es, la eficiencia separándola de los efectos de escala (Banker et al. 1984). ...
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... Therefore, this orientation provides technical efficiency. On the other hand, Variable Returns to Scale (VRS) provides managerial efficiency [6], [30] due to it is calculated under differentiated frontiers. ...
... Para intentar contabilizar este efecto en la obtención de la eficiencia, en 1984 se presentó el modelo DEA para retornos variables a escala, desarrollado por Banker, Charnes y Cooper (BCC), este modelo permitirá calcular la eficiencia técnica pura (ETP), esto es, la eficiencia separándola de los efectos de escala (Banker et al. 1984). ...
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... . Then we can represent our convex, nonparametric, variable returns to scale (VRS) frontier technology, referred to as Data Envelopment Analysis (DEA) (Charnes et al., 1978;Banker et al., 1984), as follows: ...
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