Dynamic Models of Environmental Data Envelopment Analysis with Stock and Flow Variables
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E SCALE SYSTEMS CONTROL
Dynamic Models of Environmental Data Envelopment Analysis with Stock and Flow Variables S. V. Ratner Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia e-mail: [email protected] Received July 24, 2018 Revised July 24, 2018 Accepted November 30, 2018
Abstract—The paper devoted to the elaboration of methodological approach to the solution of dynamic problems of Environmental Data Envelopment Analysis for production facilities, whose activities are characterized by a set of variables of two different types—stock variables and flow variables. The limitations that are additionally imposed on the Production Possibility Set are studied. A task is set for assessing the comparative effectiveness of regional systems of environmental management that operate at a certain time interval. A computational example is given for assessing the comparative effectiveness of environmental management systems in the regions of the Central Federal District in the period from 2010 to 2014. The possibilities of using the developed method in practice are discussed. Keywords: data envelopment analysis, dynamic models, ecological effectiveness, regional economy, ecological management DOI: 10.1134/S0005117920070139
1. INTRODUCTION In recent years Environmental Data Envelopment Analysis (E-DEA) has been actively developed in the works of foreign [11, 12, 16–18, 20, 21] and Russian [6–7] scientists. This is a promising approach that allows to successfully solve complex management tasks related to the transfer of economic systems to a sustainable path of development, ensuring economic growth with the most careful consumption of natural resources and the minimum possible impact on the environment. In contrast to traditional Data Envelopment Analysis (DEA), in E-DEA models, production facilities may not only have desirable outputs, which typically include various types of useful products produced (or values created by an enterprise if it is not a production in the usual sense), but also undesirable outputs that accompany the main production process. Usually, negative environmental effects of production (or any other economic) activity of the enterprise are considered as undesirable exits. The presence of unwanted outputs significantly complicates the solution of problems of the data envelopment analysis. This is due to the fact that this violates one of the main properties of the Production Possibility Set (PPS) P , namely the monotonicity property. More detailed information about this problem can be found in [8, 14] as well as in monograph [1]. The author’s recent series of works with his closest colleagues and students [3–5] have shown that in a wide class of practical environmental management tasks it is possible to use models of E-DEA in a simplified formulation. In doing so undesirable outputs of industrial activity of
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DYNAMIC MODELS OF ENVIRONMENTAL DATA
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studied homogeneous economic agents are considered in base models of DEA as inputs. With this approach, the logic of the optimiz
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