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Year 2016, Volume: 6 Issue: 1, 126 - 134, 01.06.2016

Abstract

References

  • Charnes,A., Cooper,W.W. and Rhodes,E., (1978), Measuring the efficiency of decision making units
  • European Journal of Operational Research, 2, pp. 429-444. Banker,R.D., Charnes,A. and Cooper,W.W. (1984), Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management Science, 30, pp. 1078-1092.
  • Chen,C. and Yan,H., (2011), Network DEA model for supply chain performance evaluation, European
  • Journal Operation Research, 213, pp. 147-155. Chen,Y. and Zhu,J., (2004), Measuring information technology’s indirect impact on firm performance
  • Information Technology and Management Journal, 5, pp. 9-22. Cooper,W.W., Deng,H., Huang,Z. and Li,S.X., (2004), Chance constrained programming approaches to congestion in stochastic data envelopment analysis, European Journal of Operational Research, , pp. 487-501.
  • Cooper,W.W., Huang,Z. and Li, S., (1996), Satisficing DEA models under chance constraints, The Annals of Operations Research, 66, pp. 259-279.
  • Cooper,W.W., Thompson,R.G. and Thrall,R.M., (1996), Introduction: Extensions and new develop- ments in DEA Annals of Operations Research, 66, pp. 3-46.
  • Fare,R. and Grosskopf,S., (2000), Network DEA, Socio-Economic Planning Sciences, 34, pp. 35-49.
  • Fare,R., Grosskopf,S. and Lovell,C.A.K., (1985), The measurement of efficiency of production, Kluwer Dordrecht MA.
  • Farrell,M.J., (1957), The Measurement of Productive Efficiency, Journal of the Royal Statistical So- ciety. Series A (General), 120, pp. 253-290.
  • Hosseinzadeh,L.,F., Nematollahi,N., Behzadi,M.H., Mirbolouki,M. and Moghaddas,Z., (2012), Cen- tralized resource allocation with stochastic data, Journal of Computations and Applied Mathematics, , pp. 1783-1788.
  • Huang,Z. and Li,S.X., (2001), Stochastic DEA models with different types of input–output distur- bances, Journal of Productivity Analysis, 15, pp. 95-113.
  • Khodabakhshi,M. and Asgharian,M., (2008), An input relaxation measure of efficiency in stochastic data envelopment analysis, Applied Mathematical Modelling, 33, pp. 2010-2023.
  • Li,S.X., (1998), Stochastic models and variable returns to scales in data envelopment analysis, Euro- pean Journal of Operational Research, 104, pp. 532-548.
  • Liang,L., Yang, F., Cook,W.D. and Zhu,J., (2006), DEA models for supply chain efficiency evaluation
  • Annals of Operation Research, 145(1), pp. 35-49. Olesen,O.B., (2002) Comparing and Combining Two Approaches for Chance Constrained DEA, Dis- cussion Paper, The University of Southern Denmark.
  • Seiford,L.M. and Zhu,J., (1999), Profitability and Marketability of the top 55 US commercial banks, Management Science, 45(9), pp. 270-1288.
  • Yang,F., Wu,D., Liang,L., Bi,G. and Wu,D.D., (2011), Supply chain DEA: production possibility set and performance evaluation model, Annals of operations research, 185, pp. 195-211.

STOCHASTIC COST EFFICIENCY EVALUATION OF A SUPPLY CHAIN

Year 2016, Volume: 6 Issue: 1, 126 - 134, 01.06.2016

Abstract

The main goal of the paper is a consideration of cost efficiency evaluation models related to some supply chain when dealing with imprecise data. Data envelopment analysis DEA method is a non-parametric mathematical programming approach to assess the performance. This method is proposed for deterministic data and it can be generalized to inaccurate data, while considering real world applications. Here we consider data as random variables and after reviewing and introducing new models to evaluate cost efficiencies related to the special circumstances of the supply chain using DEA, these models are developed to probabilistic form. Also, deterministic and linear equivalents are proposed using the symmetric error structure of normal distributions. At final, by a numerical example, the proposed models are examined to show relationships of results.

References

  • Charnes,A., Cooper,W.W. and Rhodes,E., (1978), Measuring the efficiency of decision making units
  • European Journal of Operational Research, 2, pp. 429-444. Banker,R.D., Charnes,A. and Cooper,W.W. (1984), Some models for estimating technical and scale inefficiencies in data envelopment analysis, Management Science, 30, pp. 1078-1092.
  • Chen,C. and Yan,H., (2011), Network DEA model for supply chain performance evaluation, European
  • Journal Operation Research, 213, pp. 147-155. Chen,Y. and Zhu,J., (2004), Measuring information technology’s indirect impact on firm performance
  • Information Technology and Management Journal, 5, pp. 9-22. Cooper,W.W., Deng,H., Huang,Z. and Li,S.X., (2004), Chance constrained programming approaches to congestion in stochastic data envelopment analysis, European Journal of Operational Research, , pp. 487-501.
  • Cooper,W.W., Huang,Z. and Li, S., (1996), Satisficing DEA models under chance constraints, The Annals of Operations Research, 66, pp. 259-279.
  • Cooper,W.W., Thompson,R.G. and Thrall,R.M., (1996), Introduction: Extensions and new develop- ments in DEA Annals of Operations Research, 66, pp. 3-46.
  • Fare,R. and Grosskopf,S., (2000), Network DEA, Socio-Economic Planning Sciences, 34, pp. 35-49.
  • Fare,R., Grosskopf,S. and Lovell,C.A.K., (1985), The measurement of efficiency of production, Kluwer Dordrecht MA.
  • Farrell,M.J., (1957), The Measurement of Productive Efficiency, Journal of the Royal Statistical So- ciety. Series A (General), 120, pp. 253-290.
  • Hosseinzadeh,L.,F., Nematollahi,N., Behzadi,M.H., Mirbolouki,M. and Moghaddas,Z., (2012), Cen- tralized resource allocation with stochastic data, Journal of Computations and Applied Mathematics, , pp. 1783-1788.
  • Huang,Z. and Li,S.X., (2001), Stochastic DEA models with different types of input–output distur- bances, Journal of Productivity Analysis, 15, pp. 95-113.
  • Khodabakhshi,M. and Asgharian,M., (2008), An input relaxation measure of efficiency in stochastic data envelopment analysis, Applied Mathematical Modelling, 33, pp. 2010-2023.
  • Li,S.X., (1998), Stochastic models and variable returns to scales in data envelopment analysis, Euro- pean Journal of Operational Research, 104, pp. 532-548.
  • Liang,L., Yang, F., Cook,W.D. and Zhu,J., (2006), DEA models for supply chain efficiency evaluation
  • Annals of Operation Research, 145(1), pp. 35-49. Olesen,O.B., (2002) Comparing and Combining Two Approaches for Chance Constrained DEA, Dis- cussion Paper, The University of Southern Denmark.
  • Seiford,L.M. and Zhu,J., (1999), Profitability and Marketability of the top 55 US commercial banks, Management Science, 45(9), pp. 270-1288.
  • Yang,F., Wu,D., Liang,L., Bi,G. and Wu,D.D., (2011), Supply chain DEA: production possibility set and performance evaluation model, Annals of operations research, 185, pp. 195-211.
There are 18 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

M. Mirbolouki This is me

Publication Date June 1, 2016
Published in Issue Year 2016 Volume: 6 Issue: 1

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