A joint measurement of efficiency and effectiveness using network data envelopment analysis approach in the presence of shared input

This paper proposes a novel network data envelopment analysis (NDEA) approach to measure both technical efficiency and service effectiveness of railway transportation services. In particular, railway transportation systems consume varying amounts of shared inputs to produce outputs. The proposed NDEA model represents both the non-storable feature of transportation service and production technologies in a unified framework in the presence of shared inputs. Hence, the proposed model not only measures the overall efficiency of the railways, but also estimates passenger and freight technical efficiency, service effectiveness, and technical effectiveness, simultaneously. A case study validates the proposed model.