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Efficiency Improvement Strategy Under Constant Sum of Inputs

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Journal of Mathematical Modelling and Algorithms in Operations Research

Abstract

In this paper, we have formulated Data Envelopment Analysis (DEA) models to reduce the inputs in an inefficient Decision Making Unit (DMU) when the specific inputs are under the constant sum constraint. We have also extended the models to reallocate the excess input without any reduction in efficiency of other DMUs. These DEA models and methods developed in this work will help decision makers in develo** an optimal strategy to transfer excess input to other DMUs. Theoretical results have been illustrated with the help of a case study.

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References

  1. Barr, R.S., Seiford, L.M., Siems, T.F.: Forecasting bank failure: a non-parametric frontier estimation approach. Louvain Econ. Rev. 60(4), 417–429 (1994)

    Google Scholar 

  2. Chandra, P., Cooper, W.W., Li, S., Rahman, A.: Using DEA to evaluate 29 Canadian textile companies - considering returns to scale. Int. J. Prod. Econ. 54(2), 129–141 (1998)

    Article  Google Scholar 

  3. Charnes, A., Cooper, W.W., Rhodes, E.: Measuring the efficiency of decision making units. Eur. J. Oper. Res. 17(1), 35–44 (1978)

    MathSciNet  Google Scholar 

  4. Coelli, T.: A guide to DEAP version 2.1: a data envelopment analysis (Computer) program. Centre for efficiency and productivity analysis. University of New England. http://www.owlnet.rice.edu/~econ380/DEAP.PDF (1996)

  5. Cook, W.D., Kress, M.: Characterizing an equitable allocation of shared costs: a DEA approach. Eur. J. Oper. Res. 119(3), 652–661 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  6. Cooper, W.W., Ruiz, J.L., Sirvent, I.: Choosing weights from alternative optimal solutions of dual multiplier models in DEA. Eur. J. Oper. Res. 180(1), 443–458 (1999)

    Article  Google Scholar 

  7. Cooper, W.W., Seiford, L.M., Tone, K.: Data Envelopment Analysis, 2nd ed.Springer, New York (2007)

    MATH  Google Scholar 

  8. CO2 time series 1990–2012 per region/country, European Commission, Joint Research Centre (JRC)/PBL Netherlands Environmental Assessment Agency, http://edgar.jrc.ec.europe.eu (2011)

  9. Farrell, M.J.: The measurement of productive efficiency. J. R. Stat. Soc. A120, 253–282 (1957)

    Google Scholar 

  10. Gomes, E.G., Lins, M.P.E.: Modelling undesirable outputs with zero sum gains data envelopment analysis models. J. Oper. Res. Soc. 59(5), 616–623 (2008)

    Article  MATH  Google Scholar 

  11. Gomes, E.G., Soares de Mello, J.C.C.B., Meza, L.A.: Large discreet resource allocation: a hybrid approach based on dea efficiency measurement. Pesqui. Oper. 28(3), 597–608 (2008)

    Article  MATH  Google Scholar 

  12. Goto, M., Tsutsui, M.: Comparison of productive and cost efficiencies among Japanese and US electric utilities. Omega 26(2), 177–194 (1998)

    Article  Google Scholar 

  13. Guedes de Avellar, J.V., Milioni, A.Z., Rabello, T.N.: Spherical frontier DEA model based on a constant sum of inputs. J. Oper. Res. Soc. 58(9), 1246–1251 (2007)

    Article  MATH  Google Scholar 

  14. List of countries by population, Wikipedia, http://en.wikipedia.org/wiki/Countries_by_population (2013)

  15. Murthi, B.P.S., Choi, Y.K., Desai, P.: Efficiency of mutual funds and portfolio performance measurement: a non-parametric approach. Eur. J. Oper. Res. 98(2), 408–418 (1997)

    Article  MATH  Google Scholar 

  16. Sherman, H.D., Ladino, G.: Managing bank productivity using data envelopment analysis (DEA). Interfaces 25(2), 60–73 (1995)

    Article  Google Scholar 

  17. Statistical review of world energy, British Petroleum, http://bp.com/statisticalreview (2013)

  18. Tone, K.: A slacks-based measure of efficiency in data envelopment analysis. Eur. J. Oper. Res. 130(3), 498–509 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  19. World economic and financial surveys, World Economic Outlook Database, International Monetary Fund, http://www.imf.org/external/pubs/ft/weo/2013/02/weodata/index.aspx (2013)

  20. Yan, H., Wei, Q., Hao, G.: DEA models for resource allocation and production input/output estimation. Eur. J. Oper. Res. 136(1), 19–31 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  21. Yang, F., Wu, D.D., Liang, L., O’Neill, L.: Competition strategy and efficiency evaluation for decision making units with fixed-sum outputs. Eur. J. Oper. Res. 212(3), 560–569 (2011)

    Article  MATH  Google Scholar 

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Correspondence to Sanjeet Singh.

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Singh, S., Majumdar, S.S. Efficiency Improvement Strategy Under Constant Sum of Inputs. J Math Model Algor 13, 579–596 (2014). https://doi.org/10.1007/s10852-013-9249-1

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