A linear relational DEA model to evaluate two-stage processes with shared inputs
- 521 Downloads
Two-stage data envelopment analysis (DEA) efficiency models identify the efficient frontier of a two-stage production process. In some two-stage processes, the inputs to the first stage are shared by the second stage, known as shared inputs. This paper proposes a new relational linear DEA model for dealing with measuring the efficiency score of two-stage processes with shared inputs under constant returns-to-scale assumption. Two case studies of banking industry and university operations are taken as two examples to illustrate the potential applications of the proposed approach.
KeywordsData envelopment analysis (DEA) Shared inputs Two-stage processes IT investment Research income
Mathematics Subject Classification90C05 90C30 90C90
The research was supported by the Czech Science Foundation (GACR project 14-31593S) and through European Social Fund within the project CZ.1.07/2.3.00/20.0296.
- Agrell PJ, Hatami-Marbini A (2013) Frontier-based performance analysis models for supply chain management: state of the art and research directions. Comput Ind Eng 66(3):567–583Google Scholar
- de Mello Soares JCCB, Gomes EG, Angulo Meza L, Soares de Mello MHC, Soares de Mello AJR (2006) Engineering post-graduate programmes: a quality and productivity analysis. Stud Edu Eval 32:136–152Google Scholar
- Emrouznejad A, Anouze AL (2009) A note on the modeling the efficiency of top Arab banks. Expert Syst Appl 36 (3, part 1):5741–5744Google Scholar
- Emrouznejad A, Parker BR, Tavares G (2008) Evaluation of research in efficiency and productivity: a thirty years survey of the scholarly literature in DEA. Soc Econ Plan 42(3):151–157Google Scholar
- Kwimbere FJ (1987) Measuring efficiency in not-for-profit organisations: an attempt to evaluate efficiency in selected UK university departments using data envelopment analysis (DEAl. MSC thesis). School of Management, University of Bath, Claverton Down. Bath BA2 7AY, UKGoogle Scholar
- Toloo M (2014a) Notes on classifying inputs and outputs in data envelopment analysis: a comment. Eur J Oper Res 235(3):810–812Google Scholar
- Toloo M (2014b) An epsilon-free approach for finding the most efficient unit in DEA. Appl Math Model 38:3182–3192Google Scholar