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Sustainability evaluation of the supply chain with undesired outputs and dual-role factors based on double frontier network DEA

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Abstract

The performance analysis of supply chain is a very complicated problem. The network DEA can be used to calculate efficiency of decision-making units with multiple stages. In this paper, a new network DEA model is proposed. This model includes undesired outputs and dual-role factors. It can calculate optimistic and pessimistic efficiency. The supply chain can be ranked in terms of the overall efficiency scores. A case study is presented to demonstrate the applicability of our model.

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References

  • Badiezadeh T, Saen RF, Samavati T (2017) Assessing sustainability of supply chains by double frontier network DEA: a big data approach. Comput Oper Res 6:1–7

    Google Scholar 

  • Beasley J (1995) Determining teaching and research efficiencies. J Oper Res Soc 46(4):441–452

    Article  MATH  Google Scholar 

  • Chang YT, Park H, Zou B, Nabin K (2016) Passenger facility charge vs. airport improvement program funds: a dynamic network DEA analysis for U.S. airport financing. Transp Res E 88:76–93

    Article  Google Scholar 

  • Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of the decision making units. Eur J Oper Res 2(6):429–444

    Article  MathSciNet  MATH  Google Scholar 

  • Cook WD, Green RH, Zhu J (2006) Dual-role factors in data envelopment analysis. IIE Trans 38(2):105–115

    Article  Google Scholar 

  • Cook WD, Zhu J, Bi G, Yang F (2010) Network DEA: additive efficiency decomposition. Eur J Oper Res 207(2):1122–1129

    Article  MATH  Google Scholar 

  • Cooper WW, Seiford LM, Tone K (2007) Data envelopment analysis: a comprehensive text with models, applications, references and DEA-solver software. Springer, New York

    MATH  Google Scholar 

  • Dimitris KD, Gregory K, Dimitris S (2016) The “weak-link” approach to network DEA for two-stage processes. Eur J Oper Res 254:481–492

    Article  Google Scholar 

  • Dimitris KD, Dimitris S, Gregory K (2016) A network DEA approach for series multi-stage processes. Omega 61:35–48

    Article  Google Scholar 

  • Fare R, Grosskopf S (2000) Network DEA. Socio-economic planning. Science 34(1):35–49

    Google Scholar 

  • Farzipoor SR (2011) A decision model for selecting third-party reverse logistics providers in the presence of both dual-role factors and imprecise data. Asia Pac J Oper Res 28(2):239–254

    Article  MathSciNet  MATH  Google Scholar 

  • Guo C, Roohollah AS, Ali AF, Joe Z (2017) Decomposition weights and overall efficiency in two-stage additive network DEA. Eur J Oper Res 257:896–906

    Article  MathSciNet  MATH  Google Scholar 

  • Hirofumi F, Roman M (2017) Modelling bank performance: a network DEA approach. Eur J Oper Res 259:721–732

    Article  MathSciNet  MATH  Google Scholar 

  • Jahanshahloo GR, Hosseinzadeh LF, Shoja N, Tohidi G, Razavyan S (2005) Undesirable inputs and outputs in DEA models. Appl Math Comput 169(2):917–925

    MathSciNet  MATH  Google Scholar 

  • Kao C, Hwang SN (2010) Efficiency measurement for network systems: IT impact on firm performance. Decis Support Syst 48(3):437–446

    Article  Google Scholar 

  • Lewis HF, Sexton TR (2004) Network DEA: efficiency analysis of organizations with complex internal structure. Comput Oper Res 31(9):1365–1410

    Article  MATH  Google Scholar 

  • Li X, Lo HK (2014) An energy-efficient scheduling and speed control approach for metro rail operations. Transp Res B 64:73–89

    Article  Google Scholar 

  • Li X, Zhou JD, Zhao XD (2016) Travel itinerary problem. Transp Res B 91:332–343

    Article  Google Scholar 

  • Li YL, Luo P, Fan ZP, Chen K, Liu JG (2017) A utility-based link prediction method in social networks. Eur J Oper Res 260:693–705

    Article  MathSciNet  MATH  Google Scholar 

  • Li YL, Zhang D, Luo P, Jiang JY (2017) Interpreting the formation of coauthor networks via utility analysis. Inf Process Manag 53:624–639

    Article  Google Scholar 

  • Ma J, Qi L, Deng L (2017) Efficiency measurement and decomposition in hybrid two-stage DEA with additional inputs. Expert Syst Appl 79:348–357

    Article  Google Scholar 

  • Mirhedayatian SM, Azadi M, Saenv RF (2014) A novel network data envelopment analysis model for evaluating green supply chain management. Int J Prod Econ 147:544–554

    Article  Google Scholar 

  • Peter W, Andrew M, Rangan G (2017) Merger and acquisitions in South African banking: a network DEA model. Res Int Bus Finance 41:362–376

    Article  Google Scholar 

  • Seiford LM, Zhu J (2004) Modeling undesirable factors in efficiency evaluation. Eur J Oper Res 157(1):242–245

    Article  MATH  Google Scholar 

  • Shephard RW, Fare R (1980) Dynamic theory of production correspondences. Verlag Anton, Hain, Meisenheim

    MATH  Google Scholar 

  • Wang YM, Chin KS (2009) A new approach for the selection of advanced manufacturing technologies: DEA with double frontiers. Int J Prod Res 47(23):6663–6679

    Article  MATH  Google Scholar 

  • Wang YM, Chin KS, Yang JB (2007) Measuring the performances of decision making units using geometric average efficiency. J Oper Res Soc 58(7):929–937

    Article  MATH  Google Scholar 

  • Xu XF, Zhang W, Li N (2015) A bi-level programming model of resource matching for collaborative logistics network in supply uncertainty environmen. J Franklin Inst 352:3873–3884

    Article  MathSciNet  Google Scholar 

  • Xu XF, Hao J, Deng YR, Wang Y (2017) Design optimization of resource combination for collaborative logistics network under uncertainty. Appl Soft Comput 560(7):684–691

    Article  Google Scholar 

  • Yang C, Liu HM (2012) Managerial efficiency in Taiwan bank branches: a network DEA. Econ Model 29(2):450–461

    Article  MathSciNet  Google Scholar 

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Funding

This study was funded by the National Natural Science Foundation of China (71403066; 71774036; 71601087); National Social Science Foundation of China (14AGL004; 16BJY078); the Special Foundation of Central Universities Basic Research Fee (HEUCFW170907, HEUCF170903).

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Correspondence to Yi Su.

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Author Yi Su declares that he has no conflict of interest. Author Wei Sun declares that she has no conflict of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Informed consent was obtained from all individual participants included in the study.

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Communicated by X. Li.

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Su, Y., Sun, W. Sustainability evaluation of the supply chain with undesired outputs and dual-role factors based on double frontier network DEA. Soft Comput 22, 5525–5533 (2018). https://doi.org/10.1007/s00500-018-3240-8

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