DEA Malmquist productivity index based on a double-frontier slacks-based model: Iranian road safety assessment

Abstract

Many governments in the developing world face the social and economic consequences of road accidents and mortalities. Hence, more precise evaluation of regional programs to reduce road fatalities has been a concern for many safety professionals. Road safety performance is often measured using various extensions of Data Envelopment Analysis (DEA), in particular the model proposed by Charnes, Cooper and Rhodes (CCR), which deals only with the radial efficiency as the objective function neither taking into account input excesses nor output shortfalls. The Slacks-Based Measure (SBM) of efficiency overcomes this shortcoming by taking both measurements mentioned above simultaneously. In this regard, the current study aims to employ the SBM in analyzing road safety performance. It is noteworthy that the efficiency of each Decision Making Unit (DMU) can be pessimistically measured using the slacks-based measure of inefficiency such that the anti-efficient DMUs provide the anti-efficient frontier. The results obtained from the optimistic and pessimistic frontiers are nonlinearly aggregated by means of the Evidential Reasoning (ER) algorithm. Furthermore, a Double-Frontier SBM-based Malmquist Productivity Index (DF-SBM-MPI) is provided to analyze the efficiency and technological changes in safety performance from 2014 to 2016. For this purpose, the standard SBM and Super-SBM models are used to compute the optimistic Malmquist Productivity Index (MPI); similarly, the pessimistic MPI is determined by means of the inverted SBM and Super-SBM models. Finally, the obtained MPIs from the two different points of view are geometrically combined to obtain the overall MPI.

Performance Evaluation of Solar PV Power Plants in Taiwan Using Data Envelopment Analysis

“…Moreover, there is certainly no requirement and no need to take into consideration, for creating a production function model, ahead and the unit conversion of factors, respectively [24][25][26][27][28]. For the input and output-oriented model, the inputs were minimized for a required quantity of output to be attained [29][30][31][32][33][34][35][36].…”

Analytics in developing countries: methods, applications, and the impact on the UN Sustainable Development Goals

“…In addition to these two main benchmarking approaches, scholars additionally have studied extensions of DEA, including slack‐based measures (Liu et al., 2016; Ganji and Rassafi, 2019; Yu et al., 2019) and cross‐efficiency methods (Al‐Siyabi et al., 2019; Ganji et al., 2019).…”

“…Inadequate and unreliable transportation networks are a major contributor to accidents and mortalities, and are an obstacle for economic growth in developing countries. In this regard, road safety performance has been studied by several scholars in Iran (Khademi and Choupani, 2018; Ganji and Rassafi, 2019; Ganji et al., 2019). In order to assess the efficiency and safety of intersections in road network, Pathivada and Perumal (2019) evaluate the behavior of drivers in a dilemma zone to predict whether drivers would stop or pass at a given situation.…”

“…Another target within the good health and well‐being goal concentrates on decreasing the number of deaths and injuries from road traffic accidents. In this regard, the research performed by Ganji and Rassafi (2019) in benchmarking road safety performance of Iranian provinces can act as a resource for governmental authorities to identify and assess improvement areas within the road network. The target of accessing quality essential healthcare services is addressed by Cocking et al.…”

An Empirical Study on the Efficiency and Influencing Factors of the Photovoltaic Industry in China and an Analysis of Its Influencing Factors

“…DEA is applied to evaluate the performance and efficiency of industries, enterprises and organizations, since it has few constraints. Additionally, there is no necessity for establishing a production function model in advance and no need to consider unit conversion of factors [43][44][45][46][47]. DEA is an efficiency evaluation method for multiple decision units with multiple inputs and outputs.…”