A linear relational DEA model to evaluate two-stage processes with shared inputs. (English) Zbl 1359.90071
Summary: 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.
MSC:
| 90C05 | Linear programming |
| 90C30 | Nonlinear programming |
| 90C90 | Applications of mathematical programming |
Keywords:
data envelopment analysis (DEA); shared inputs; two-stage processes; IT investment; research incomeReferences:
| [1] | 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):567-583 |
| [2] | Akther S, Fukuyama H, Weber WL (2013) Estimating two-stage network Slacks-based inefficiency: an application to Bangladesh banking. Omega 41(1):88-96 · doi:10.1016/j.omega.2011.02.009 |
| [3] | Amirteimoori A, Kordrostami S (2005) Multi-component efficiency measurement with imprecise data. Appl Math Comput 162:1265-1277 · Zbl 1058.62003 |
| [4] | Amirteimoori A, Emrouznejad A, Khoshandam L (2013) Classifying flexible measures in data envelopment analysis: a slacks-based measure. Measurement 46(10):4100-4107 · doi:10.1016/j.measurement.2013.08.019 |
| [5] | Banker RD, Charnes A, Cooper WW (1984) Some models for estimating technical and scale inefficiency in data envelopment analysis. Manag Sci 30:1078-1092 · Zbl 0552.90055 · doi:10.1287/mnsc.30.9.1078 |
| [6] | Banker RD, Kauffman RJ, Morey RC (1990) Measuring gains in operational efficiency from information technology: a study of the positran deployment at Hardee’s Inc. J Manag Inf Syst 7(2):29-54 · doi:10.1080/07421222.1990.11517888 |
| [7] | Barros CP, Managi S, Matousek R (2012) The technical efficiency of the Japanese banks: non-radial directional performance measurement with undesirable output. Omega 40(1):1-8 · doi:10.1016/j.omega.2011.02.005 |
| [8] | Beasley JE (1990) Comparing university departments. Omega 18(2):171-183 · doi:10.1016/0305-0483(90)90064-G |
| [9] | Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision making units. Eur J Oper Res 2:429-444 · Zbl 0416.90080 · doi:10.1016/0377-2217(78)90138-8 |
| [10] | Chen Y, Zhu J (2004) Measuring information technology’s indirect impact on firm performance. Inf Technol Manag J 5(1-2):9-22 · doi:10.1023/B:ITEM.0000008075.43543.97 |
| [11] | Chen Y, Liangb L, Yangb F, Zhu J (2006) Evaluation of information technology investment: a data envelopment analysis approach. Comput Oper Res 33:1368-1379 · Zbl 1126.91386 · doi:10.1016/j.cor.2004.09.021 |
| [12] | Chen Y, Du J, David H, Zhu SJ (2010) DEA model with shared resources and efficiency decomposition. Eur J Oper Res 207(1):339-349 · Zbl 1205.90146 · doi:10.1016/j.ejor.2010.03.031 |
| [13] | Cook WD, Hababou M, Tuenter HJH (2000) Multicomponent efficiency measurement and shared inputs in data envelopment analysis: an application to sales and service performance in bank branches. J Product Anal 14:209-224 · doi:10.1023/A:1026598803764 |
| [14] | Cook WD, Zhu J (2007) Classifying inputs and outputs in DEA. Eur J Oper Res 180:692-699 · Zbl 1123.90044 · doi:10.1016/j.ejor.2006.03.048 |
| [15] | Cook WD, Liang L, Zhu J (2010) Measuring performance of two-stage network structures by DEA: a review and future perspective. Omega 38:423-430 · doi:10.1016/j.omega.2009.12.001 |
| [16] | 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 32:136-152 |
| [17] | Ebrahimnejad A, Tavana M, Lotfi FH, Shahverdi R, Yousefpour M (2014) A three-stage data envelopment analysis model with application to banking industry. Measurement 49:308-319 · doi:10.1016/j.measurement.2013.11.043 |
| [18] | Emrouznejad A, Anouze AL (2010) DEA/C&R: DEA with classification and regression tree: a case of banking efficiency. Expert Syst 27(4):231-246 · doi:10.1111/j.1468-0394.2010.00516.x |
| [19] | Emrouznejad A, Anouze AL (2009) A note on the modeling the efficiency of top Arab banks. Expert Syst Appl 36 (3, part 1):5741-5744 · Zbl 1247.90194 |
| [20] | 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):151-157 |
| [21] | Fare R, Grosskopf S (2000) Network DEA. Soc Econ Plan Sci 34(1):35-49 · Zbl 1185.90023 · doi:10.1016/S0038-0121(99)00012-9 |
| [22] | Jahanshahloo GR, Amirteimoori AR, Kordrostami S (2004) Measuring the multi-component efficiency with shared inputs and outputs in data envelopment analysis. Appl Math Comput 155:283-293 · Zbl 1134.90442 |
| [23] | Kao C, Hwang S-N (2008) Efficiency decomposition in two-stage data envelopment analysis: an application to non-life insurance companies in Taiwan. Eur J Oper Res 185:418-429 · Zbl 1137.91497 · doi:10.1016/j.ejor.2006.11.041 |
| [24] | Kao C (2009) Efficiency decomposition in network data envelopment analysis: a relational model. Eur J Oper Res 192:949-962 · Zbl 1157.90494 · doi:10.1016/j.ejor.2007.10.008 |
| [25] | Kao C, Hwang S-N (2010) Efficiency measurement for network systems: IT impact on firm performance. Decis Support Syst 48(3):437-446 · doi:10.1016/j.dss.2009.06.002 |
| [26] | Kao C (2014) Network data envelopment analysis: a review. Eur J Oper Res 239:1-16 · Zbl 1339.90005 · doi:10.1016/j.ejor.2014.02.039 |
| [27] | 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, UK |
| [28] | Paradi JC, Rouatt S, Zhu H (2011) Two-stage evaluation of bank branch efficiency using data envelopment analysis. Omega 39(1):99-109 · doi:10.1016/j.omega.2010.04.002 |
| [29] | Paradi JC, Zhu H (2013) A survey on bank branch efficiency and performance research with data envelopment analysis. Omega 1(1):61-79 · doi:10.1016/j.omega.2011.08.010 |
| [30] | Premachandra IM, Chen Y, Watson J (2011) DEA as a tool for predicting corporate failure and success: a case of bankruptcy assessment. Omega 39(6):620-626 · doi:10.1016/j.omega.2011.01.002 |
| [31] | Tavassoli M, Faramarzi GR, Farzipoor Saen R (2014) Efficiency and effectiveness in airline performance using a SBM-NDEA model in the presence of shared input. J Air Trans Manag 34:146-153 · doi:10.1016/j.jairtraman.2013.09.001 |
| [32] | Toloo M (2009) On classifying inputs and outputs in DEA: a revised model. Eur J Oper Res 198:358-360 · Zbl 1163.90674 · doi:10.1016/j.ejor.2008.08.017 |
| [33] | Toloo M, Sohrabi B, Nalchigar S (2009) A new method for ranking discovered rules from data mining by DEA. Expert Syst Appl 36(4):8503-8508 · doi:10.1016/j.eswa.2008.10.038 |
| [34] | Toloo M (2012) Alternative solutions for classifying inputs and outputs in data envelopment analysis. Comput Math Appl 63:1104-1110 · Zbl 1247.90194 · doi:10.1016/j.camwa.2011.12.016 |
| [35] | Toloo M (2013) The most efficient unit without explicit inputs: an extended MILP-DEA model. Measurement 46(9):3628-3634 · doi:10.1016/j.measurement.2013.06.030 |
| [36] | Toloo M (2014a) Notes on classifying inputs and outputs in data envelopment analysis: a comment. Eur J Oper Res 235(3):810-812 · Zbl 1305.90300 |
| [37] | Toloo M (2014b) An epsilon-free approach for finding the most efficient unit in DEA. Appl Math Model 38:3182-3192 · Zbl 1427.90183 |
| [38] | Tomkins C, Green R (1988) An experiment in the use of data envelopment analysis for evaluating the efficiency of UK university departments of accounting. Fin Account Mgmt 4(2):147-164 · doi:10.1111/j.1468-0408.1988.tb00066.x |
| [39] | Wang CH, Gopal R, Zionts S (1997) Use of data envelopment analysis in assessing information technology impact on firm performance. Ann Oper Res 73:191-213 · Zbl 0891.90018 · doi:10.1023/A:1018977111455 |
| [40] | Yu M, Fan C (2009) Measuring the performance of multimode bus transit: a mixed structure network DEA model. Trans Res Part E 45:501-515 · doi:10.1016/j.tre.2008.10.001 |
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