scholarly journals Matrix-Type Network DEA Model with Its Application Based on Input-Output Tables

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Yun Cheng ◽  
Huan-Li Gao

The matrix-type network data envelopment analysis (DEA) model is established for evaluating the relative performance of the matrix-type structure. The existence of solution and property of the new model is given. The equivalence of DEA efficiency and Pareto solutions of corresponding objective programming problem is proved. Using data in input-output tables, the new model is tested and the results show that the new model can be feasible in evaluating the relative performance of the matrix-type structure.

2021 ◽  
Author(s):  
Jilan Bian ◽  
Yao Shan ◽  
Guiyan Zhao

Abstract The environmental protection investment aims at protecting the environment, improving the quality of the environment and preventing the deterioration of the ecological environment. A certain amount of capital is put into environmental protection in the form of money, machinery and other elements to form the environmental capital stock. In this study, the DEA model was used to calculate and analyze the input-output efficiency of environmental protection in China from 2001 to 2015. The results show that the overall efficiency of environmental protection input-output in China was low from 2001 to 2015, and the DEA efficiency was not fully achieved in most years, and the contribution of environmental protection investment to the output of environmental protection industry needs to be further improved. Finally, according to the analysis results of DEA model, the countermeasures and suggestions were put forward to optimize the investment structure of environmental protection and promote the rapid economic development from the aspects of broadening the investment channels of environmental protection, actively guiding residents and enterprises to participate in environmental protection undertakings, optimizing the investment mode of environmental protection, vigorously promoting the progress of environmental protection science and technology, adhering to the circular development, and adjusting the industrial structure.


2011 ◽  
Vol 10 (04) ◽  
pp. 613-633 ◽  
Author(s):  
QUANLING WEI ◽  
HONG YAN ◽  
LIYONG PANG

This paper extends the DEA model to considering the decision-making unit (DMU) with the network structure. We define the network DMU and its network DEA efficiency based on the postulate system. On the series structure of the DMU, we further discuss a sequential optimization model originally proposed by Sexton and Lewis.1,2 Based on their work, we extend to the DMU with general network of k stages and propose a composite network DEA model which evaluate the network DEA efficiency by solving only one linear programming. We show that the network efficiency obtained from the composite model is equivalent to that obtained by the sequential optimization model. We show that a network DMU is network-efficient if and only if it is efficient at all stages. That is, the network-efficient DMU follows the "Bellman Optimal Principle." Our model shows that if a network DMU is not DEA-efficient, then it is not efficient at one stage at least. We also define the projection of the network DMU on the corresponding production possibility set of network DMUs. Finally, we discuss other basic structures of the network DMU and show that the overall network DEA model can be extended to the general network DMU.


2017 ◽  
Vol 117 (9) ◽  
pp. 1866-1889 ◽  
Author(s):  
Vahid Shokri Kahi ◽  
Saeed Yousefi ◽  
Hadi Shabanpour ◽  
Reza Farzipoor Saen

Purpose The purpose of this paper is to develop a novel network and dynamic data envelopment analysis (DEA) model for evaluating sustainability of supply chains. In the proposed model, all links can be considered in calculation of efficiency score. Design/methodology/approach A dynamic DEA model to evaluate sustainable supply chains in which networks have series structure is proposed. Nature of free links is defined and subsequently applied in calculating relative efficiency of supply chains. An additive network DEA model is developed to evaluate sustainability of supply chains in several periods. A case study demonstrates applicability of proposed approach. Findings This paper assists managers to identify inefficient supply chains and take proper remedial actions for performance optimization. Besides, overall efficiency scores of supply chains have less fluctuation. By utilizing the proposed model and determining dual-role factors, managers can plan their supply chains properly and more accurately. Research limitations/implications In real world, managers face with big data. Therefore, we need to develop an approach to deal with big data. Practical implications The proposed model offers useful managerial implications along with means for managers to monitor and measure efficiency of their production processes. The proposed model can be applied in real world problems in which decision makers are faced with multi-stage processes such as supply chains, production systems, etc. Originality/value For the first time, the authors present additive model of network-dynamic DEA. For the first time, the authors outline the links in a way that carry-overs of networks are connected in different periods and not in different stages.


Popular Music ◽  
1995 ◽  
Vol 14 (1) ◽  
pp. 55-93 ◽  
Author(s):  
Michael Christianen

With the publication of the article ‘Cycles in symbol production’ (Peterson and Berger 1975) a discussion started concerning the advantages and disadvantages of the production of cultural goods under market conditions. The analysis by Peterson and Berger showed a negative correlation between concentration in the recording industry, on the one hand, and the diversity and innovativeness of the music, on the other. Repetition of the analysis using data from the 1980s (Burnett 1990; Lopes 1992) has shown that for this period Peterson and Berger's hypotheses should be rejected. Is there a connection between concentration and diversity and innovation? Are there cycles in symbol production? There seems to be no conclusive answer. In this article, I will attempt to clear up this matter. First, I will repeat the analysis of the relation between concentration and diversity/innovation, using the same model as Peterson and Berger, but with different definitions for the variables concentration, diversity and innovation. Then I will suggest a new model, which can be helpful in uncovering other factors influencing diversity and innovation in the music industry. I will come to that later. Let me first give the reader a brief overview of previous research.


2012 ◽  
Vol 50 (1) ◽  
Author(s):  
Michael W. Babcock ◽  
John C. Leatherman

The purpose of this paper is to present a methodology to measure some of the economic impacts of state highway programs. State departments of transportation (DOTs) need such a methodology for a variety of reasons, including long-term highway planning as well as advising state policymakers concerning the economic impacts of highway programs. The specific objectives of this study are: (1) describe a procedure to measure the output, value added, and employment impacts of specific types of highway and bridge improvement, and (2) illustrate an application of the model using data from Kansas. The objectives of the research are accomplished with input-output modeling. An 11-step procedure is described for adjusting the Kansas IMPLAN input-output model so that it is capable of measuring economic impacts for specific types of highway and bridge improvement. The model is illustrated using data from a recently completed study of the Kansas Comprehensive Transportation Program (CTP), which included expenditure of $5.24 billion on state highway system projects. Data from this study are used to demonstrate the calculation of output, value added, and employment impacts for five different highway and bridge improvement categories.


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