Sufficient and Comprehensive Measurement of Automobile Manufacturing Industry Performance Applying Bi-objective Super-efficiency DEA

Abstract

In this paper, we measure performance of automobile manufacturing industry by a new hybrid model based on bi-objective super-efficiency DEA. We propose super-efficiency DEA theory to improve conventional DEA with non-Archimedean infinitesimal, and then we take bi-objective issue into consideration to formulate a hybrid model. The proposed model has three main advantages in assessing automobile manufacturing industry performance: (i) it applies super-efficiency DEA to realize sufficient ranking of performances; (ii) non-Archimedean infinitesimal utilized in DEA can give slacks and projections, which provides optimal condition those indexes of inefficient years can be attained; (iii) bi-objective DEA can offer more comprehensive evaluation from both input-orientated and output-orientated perspectives. We illustrate the application of the proposed approach by a numerical example with data of automobile manufacturing industry enterprises in China from 1998 to 2010. The example shows the effectiveness and practicability of the new approach.