16568

16568

محاسبه شاخص هاي رشد بهره وري بر پايه تكنولوژي هاي توسعه يافته در تحليل پوششي داده ها

دكتري

رياضي كاربردي - تحقيق در عمليات

آذر 1395

دكتر محمدرضا عليرضائي

رياضي

1395/11/19

1/1/1900 12:00:00 AM

Abstract: The standard an​d global Malmquist indices are among the most important indices, which are practically used in various situations for measuring the relative productivity change of DMUs in multiple time periods by Data Envelopment Analysis (DEA) models. However, DEA models with different production technologies are used for measuring the productivity changes in both standard an​d global forms. For example, in FGLR decomposition, CRS (constant returns to scale) technology is employed, an​d the standard Malmquist index breaks down into efficiency change (EC) an​d technological change (TC), an​d FGNZ decomposition needs both VRS (constant returns to scale) an​d CRS technologies to be able to break down the standard Malmquist index into pure efficiency change (PEC), scale efficiency change (SEC), an​d technological change (TC). In addition, in the global form with CRS technology, the global Malmquist index breaks down into efficiency change (EC) an​d best practice change (BPC) an​d when VRS an​d CRS technologies are employed, the global Malmquist index breaks down to pure efficiency change (PEC), scale efficiency change (SEC), an​d best practice change (BPC). However, empirical studies have shown that there are some important rules an​d regulations that can affect the productivity over time. In other words, the result of the Malmquist index might change in the presence of some additional rules. Therefore, in this research a modification of the Malmquist index, namely, the expanded Malmquist index, which uses trade-offs (TO) technology as part of their rules an​d regulations is proposed. It should be noted that, the expanded production possibility set (PPS) that is based on trade-offs technology allows us to present a new insight into the Malmquist index an​d its decompositions. On the other hand, this modification using VRS, CRS, an​d TO technologies allows the expanded standard Malmquist index to be broken down into pure efficiency change (PEC), scale efficiency change (SEC), regulation efficiency change (REC), an​d expanded technological change (ETC). Similarly, in the global form, the expanded global Malmquist index is decomposed into pure efficiency change (PEC), scale efficiency change (SEC), regulation efficiency change (REC), an​d expanded best practice change (EBPC). Keywords: Data Envelopment Analysis, Standard an​d Global Malmquist Index, Regulations, Trade-offs, Regulation Efficiency Change