دانلود رایگان مقاله انگلیسی شبکه های اجتماعی تلفیقی و تحلیل پوششی داده ها برای رتبه بندی - الزویر 2017

Abstract:

In this work, we propose a method for ranking efficient decision-making units (DMUs) that uses measures of dominance derived from social network analysis in combination with data envelopment analysis (DEA). For this purpose, a directed and weighted graph is constructed, in which the nodes represent the system's DMUs and the edges represent the relationships between them. The objective is to identify and rank the most important nodes by taking into account the influence or dominance relations between the DMUs. The method uses a weighted HITS algorithm to identify the hubs and the authorities in the network by assigning to each DMU two numbers, the authority weight and the hub weight. Additionally, this method allows for the identification of DMUs whose exclusion from the DEA analysis does not modify the efficiency values obtained for the remaining DMUs.

5. Conclusions

The methodology proposed in this paper for ranking efficient and inefficient DMUs based on dominance measures derived from social network analysis has several advantages. First, the network that is built represents graphically the relationships between an inefficient DMU and its reference set. This simplifies the interpretation of the role played by each DMU within the set. Furthermore, allows managers to visualize the network relations between DMUs. Second, the modified bidimensional hubs and authorities measure provides a basis for ranking efficient and inefficient units. The values of hubs and authorities reflect the following desirable properties for ranking methods:  Property

1. Efficient DMU’s are always ranked above inefficient units. (Since the set of authorities coincides with the set of efficient units)  Property

2. The ranking of an efficient unit is higher when an inefficient unit that contains the efficient DMU in its reference set represents a good benchmark (the ranking of an efficiency unit is larger when the inefficient units that contain the efficient DMU in their reference sets represent “good” hubs, i.e., their reference sets contains efficient DMUs that are also good examples of management practices for the other DMUs).  Property

3. An efficient DMU that is not a reference for any inefficient DMU must be ranked after the remaining efficient DMUs. In this situation, as noted by Charnes et al. (1978), the efficient unit does not act as a benchmark for any inefficient DMU except itself, which is the case of a self-evaluator. (The efficient DMUs that are not references for any inefficient DMU have an authority weight equal to zero.)  Property

4. The ranking method can be used independently of the DEA model assumption (CRS, VRS, super-efficiency, etc.)