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Volume 8 Issue 4
Apr.  2021

IEEE/CAA Journal of Automatica Sinica

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Zicheng Liu, Naiqi Wu, Yan Qiao and Zhiwu Li, "Performance Evaluation of Public Bus Transportation by Using DEA Models and Shannon’s Entropy: An Example From a Company in a Large City of China," IEEE/CAA J. Autom. Sinica, vol. 8, no. 4, pp. 779-795, Apr. 2021. doi: 10.1109/JAS.2020.1003405
Citation: Zicheng Liu, Naiqi Wu, Yan Qiao and Zhiwu Li, "Performance Evaluation of Public Bus Transportation by Using DEA Models and Shannon’s Entropy: An Example From a Company in a Large City of China," IEEE/CAA J. Autom. Sinica, vol. 8, no. 4, pp. 779-795, Apr. 2021. doi: 10.1109/JAS.2020.1003405

Performance Evaluation of Public Bus Transportation by Using DEA Models and Shannon’s Entropy: An Example From a Company in a Large City of China

doi: 10.1109/JAS.2020.1003405
Funds:  This work was supported in part by the Science and Technology Development Fund (FDCT), Macau SAR (0017/2019/A1, 0002/2020/AKP), and in part by the National Natural Science Foundation of China (61803397)
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  • The purpose of this paper is to assess the operational efficiency of a public bus transportation via a case study from a company in a large city of China by using data envelopment analysis (DEA) model and Shannon’s entropy. This company operates 37 main routes on the backbone roads. Thus, it plays a significant role in public transportation in the city. According to bus industry norms, an efficiency evaluation index system is constructed from the perspective of both company operations and passenger demands. For passenger satisfaction, passenger waiting time and passenger-crowding degree are considered, and they are undesirable indicators. To describe such indicators, a super-efficient DEA model is constructed. With this model, by using actual data, efficiency is evaluated for each bus route. Results show that the DEA model with Shannon’s entropy being combined achieves more reasonable results. Also, sensitivity analysis is presented. Therefore, the results are meaningful for the company to improve its operations and management.


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    • Investigation is carried out to evaluate the efficiency of public bus transportation for a company of a large city in China by using data envelopment analysis.
    • A mixed super-efficiency data envelopment analysis model is proposed by embedding Shannon’s entropy into it.
    • The investigation considers both the operators’ operations and passenger satisfaction with undesirable outputs.
    • Numerical results and comparisons are used to demonstrate the advantages of the proposed method.


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