A second-order cone programming based robust data envelopment analysis model for the new-energy vehicle industry

The validity of performance evaluation is determined by, and therefore greatly influenced by, the accuracy of data set. To address such imprecise and negative data problems widely spread in the real world, this paper proposes a second-order cone based robust data envelopment analysis (SOCPR-DEA) model, which is more robust to data variety. Further, this new computational tractable model is applied to analyze 13 new-energy vehicle (NEV) manufacturers from China. The findings support that the SOCPR-DEA model could well mitigate the deficiency caused by data variety, and the evidence from Chinese NEV industry shows that a focus strategy is more likely to enhance a firm’s efficiency especially at its emerging stage, and the efficiency is more sensitive with production cost than other factors such as research and development, sales income, earnings per share, and predicted income. In addition, this paper also gives some industrial implications and policy suggestions based on these interesting findings.

[1]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[2]  Tao Jie,et al.  A study of the operation efficiency and cost performance indices of power-supply companies in China based on a dynamic network slacks-based measure model , 2016 .

[3]  Chao Lu,et al.  Business ecosystem and stakeholders' role transformation: Evidence from Chinese emerging electric vehicle industry , 2014, Expert Syst. Appl..

[4]  T. Sueyoshi,et al.  A literature study for DEA applied to energy and environment , 2017 .

[5]  Ali Emrouznejad,et al.  A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016 , 2018 .

[6]  Arkadi Nemirovski,et al.  Robust Convex Optimization , 1998, Math. Oper. Res..

[7]  Robert J. Vanderbei,et al.  Robust Optimization of Large-Scale Systems , 1995, Oper. Res..

[8]  Meilin Wen Uncertain Data Envelopment Analysis , 2014 .

[9]  Adel Hatami-Marbini,et al.  A robust optimization approach for imprecise data envelopment analysis , 2010, Comput. Ind. Eng..

[10]  Han-Lin Li,et al.  A robust optimization model for stochastic logistic problems , 2000 .

[11]  Ling Lin,et al.  Stochastic network DEA models for two-stage systems under the centralized control organization mechanism , 2017, Comput. Ind. Eng..

[12]  Mohsen Gharakhani,et al.  A robust DEA model for measuring the relative efficiency of Iranian high schools , 2011 .

[13]  K. Rong,et al.  A key stakeholder-based financial subsidy stimulation for Chinese EV industrialization: A system dynamics simulation , 2017 .

[14]  Kin Keung Lai,et al.  A robust optimization model for a cross-border logistics problem with fleet composition in an uncertain environment , 2002 .

[15]  Laurent El Ghaoui,et al.  Robust Solutions to Least-Squares Problems with Uncertain Data , 1997, SIAM J. Matrix Anal. Appl..

[16]  M. Laguna,et al.  Applying Robust Optimization to Capacity Expansion of One Location in Telecommunications with Demand Uncertainty , 1998 .

[17]  Q. Qin,et al.  China’s new energy vehicle policies: Evolution, comparison and recommendation , 2018 .

[18]  Joe Zhu,et al.  Computational tractability of chance constrained data envelopment analysis , 2019, Eur. J. Oper. Res..

[19]  Hong Yan,et al.  Data envelopment analysis classification machine , 2011, Inf. Sci..

[20]  A. Kokko,et al.  Who does what in China’s new energy vehicle industry? , 2013 .

[21]  Marcos Pereira Estellita Lins,et al.  A multi-objective approach to determine alternative targets in data envelopment analysis , 2004, J. Oper. Res. Soc..

[22]  Wei Chen,et al.  Efficiency evaluation of fuzzy portfolio in different risk measures via DEA , 2017, Annals of Operations Research.

[23]  Allen L. Soyster,et al.  Technical Note - Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming , 1973, Oper. Res..

[24]  Juan Aparicio,et al.  Decomposing technical inefficiency using the principle of least action , 2014, Eur. J. Oper. Res..

[25]  William W. Cooper,et al.  Chapter 1 Introduction: Extensions and new developments in DEA , 1996, Ann. Oper. Res..

[26]  Arkadi Nemirovski,et al.  Robust solutions of uncertain linear programs , 1999, Oper. Res. Lett..

[27]  Melvyn Sim,et al.  The Price of Robustness , 2004, Oper. Res..

[28]  Seyed Jafar Sadjadi,et al.  Data envelopment analysis with uncertain data: An application for Iranian electricity distribution companies , 2008 .

[29]  K. Tone,et al.  Dynamic DEA: A slacks-based measure approach , 2010 .

[30]  S. Zenios,et al.  Robust optimization models for managing callable bond portfolios , 1996 .

[31]  Kaoru Tone,et al.  A slacks-based measure of super-efficiency in data envelopment analysis , 2001, Eur. J. Oper. Res..

[32]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[33]  Ali Emrouznejad,et al.  An integrated fuzzy clustering cooperative game data envelopment analysis model with application in hospital efficiency , 2018, Expert Syst. Appl..

[34]  Srinivas Talluri,et al.  Vendor Performance With Supply Risk: A Chance-Constrained DEA Approach , 2006 .

[35]  Amy H. I. Lee,et al.  An Integrated Performance Evaluation Model for the Photovoltaics Industry , 2012 .

[36]  R. Färe,et al.  Profit, Directional Distance Functions, and Nerlovian Efficiency , 1998 .

[37]  Scott A. Malcolm,et al.  Robust Optimization for Power Systems Capacity Expansion under Uncertainty , 1994 .