Skip to main content
SpringerLink
Log in

Common set of weights in data envelopment analysis: a linear programming problem

  • Original Paper
  • Published:
Central European Journal of Operations Research Aims and scope Submit manuscript

Abstract

Data Envelopment Analysis is used to determine the relative efficiency of Decision Making Units as the ratio of weighted sum of outputs by weighted sum of inputs. To accomplish the purpose, a DEA model calculates the weights of inputs and outputs of each DMU individually so that the highest efficiency can be estimated. Thus, the present study suggests an innovative method using a common set of weights leading to solving a linear programming problem. The method determines the efficiency score of all DMUs and rank them too.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Amin GR, Toloo M (2007) Finding the most efficient DMUs in DEA: an improved integrated model. Comput Ind Eng 52: 71–77

    Article  Google Scholar 

  • Charnes A, Cooper WW (1962) programming with linear fractional functionals. Naval Res Logist Q 9: 181–186

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Charnes A, Cooper WW, Lewin AY, Seiford LM (1994) Data envelopment analysis: theory, methodology, and applications. Kluwer, Boston

    Google Scholar 

  • Cook WD, Zhu J (2007) Within-group common weights in DEA: an analysis of power plant efficiency. Eur J Oper Res 178: 207–216

    Article  Google Scholar 

  • Despotis DK (2002) Improving the discriminating power of DEA: focus on globally efficient units. J Oper Res Soc 53: 314–323

    Article  Google Scholar 

  • Franklin Liu F-H, Hsuan Peng H (2008) Ranking of units on the DEA frontier with common weights. Comput Oper Res 35(5): 1624–1637

    Article  Google Scholar 

  • Hosseinzadeh Lotfi F, Jahanshahloo GR, Memariani A (2000) Method for finding common set of weights by multiple objective programming in data envelopment analysis. Southwest J Pure Appl Math 1: 44–54

    Google Scholar 

  • Jahanshahloo GR, Memariani A, Hosseinzadeh Lotfi F, Rezai HZ (2005) A note on some of DEA models and finding efficiency and complete ranking using common set of weights. Appl Math Comput 166: 265–281

    Article  Google Scholar 

  • Jahanshahloo GR, Hosseinzadeh Lotfi F, Khanmohammadi M, Kazemimanesh M, Rezai V (2010) Ranking of units by positive ideal DMU with common weights. Exp Syst Appl 37: 7483–7488

    Article  Google Scholar 

  • Murty KG (1983) Linear programming. Wiley, New York

    Google Scholar 

  • Obata T, Ishii H (2003) A method for discriminating efficient candidates with ranked voting data. Eur J Oper Res 151: 233–237

    Article  Google Scholar 

  • Roll Y, Golany B (1993) Alternate methods of treating factor weights in DEA. Omega 21(1): 99–109

    Article  Google Scholar 

  • Romero C (1991) Handbook of critical issues in goal programming. Pergamon Press, Oxford

    Google Scholar 

  • Thompson RG, Langemeier LN, Lee CT, Lee E, Thrall RM (1990) The role of multiplier bounds in efficiency analysis with application to Kansas farming. J Econometr 46: 93–108

    Article  Google Scholar 

  • Wang YM, Chin KS (2010) Kwai-Sang Chin A neutral DEA model for cross-efficiency evaluation and its extension. Exp Syst Appl 37: 3666–3675

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Islamic Azad University, Neyshabur Branch, Neyshabur, Iran

    A. Davoodi

  2. Department of Mathematics, Islamic Azad University, Mashhad Branch, Mashhad, Iran

    H. Zhiani Rezai

Authors
  1. A. Davoodi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Zhiani Rezai
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Davoodi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Davoodi, A., Rezai, H.Z. Common set of weights in data envelopment analysis: a linear programming problem. Cent Eur J Oper Res 20, 355–365 (2012). https://doi.org/10.1007/s10100-011-0195-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10100-011-0195-6

Keywords

Search

Navigation