Performance analysis in the presence of bounded, discrete and flexible measures

• Autorzy: Kordrostami Sohrab , Jahani Sayyad Noveiri Monireh

Identyfikatory

DOI

10.37190/ord210303

• Języki publikacji: EN

Abstrakty

EN

In conventional data envelopment analysis (DEA) models, the relative efficiency of decision- -making units (DMUs) is evaluated while all measures with certain input and/or output status are considered as continuous data without upper and/or lower bounds. However, there are occasions in realworld applications that the efficiency of firms must be assessed while bounded elements, discrete values, and flexible measures are present. For this purpose, the current study proposes DEA-based approaches to estimate the relative efficiency of DMUs where bounded factors, integer values, and flexible measures exist. To illustrate it, radial models based on two aspects, individual and aggregate, are introduced to measure the performance of entities and to handle the status of the flexible measure such that there are bounded components and discrete data. Applications of approaches proposed in the areas of quality management, highway maintenance patrols, and university performance measurement are given to clarify the issue and to show their practicability. It was found that the introduced procedure can determine practical projection points for bounded measures and integer values (from the individual DMU viewpoint) and can classify flexible measures along with evaluation of DMUs relative efficiency.

Słowa kluczowe

EN

data envelopment analysis; efficiency; bounded data; discrete data; flexible measure

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2021
• Tom: Vol. 31, No. 3
• Strony: 41--66
• Opis fizyczny: Bibliogr. 40 poz., tab.

Twórcy

autor

Kordrostami Sohrab

• Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, P.O. Box 1616, Iran

autor

Jahani Sayyad Noveiri Monireh

• Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, P.O. Box 1616, Iran

Bibliografia

• [1] ABBOTT M., DOUCOULIAGOS C., The efficiency of Australian universities: a data envelopment analysis, Econ. Educ. Rev., 2003, 22, 89–97.
• [2] AMIRTEIMOORI A.,EMROUZNEJAD A., Flexible measures in production process: a DEA-based approach, RAIRO Oper. Res., 2011, 45, 63–74.
• [3] AMIRTEIMOORI A., EMROUZNEJAD A., KHOSHANDAM L., Classifying flexible measures in data envelopment analysis: a slack-based measure, Measurement, 2013, 46, 4100–4107.
• [4] BALA K.,COOK W.D., Performance measurement with classification information: an enhanced additive DEA model, Omega, 2003, 31, 439–450.
• [5] BEASLEY J.E., Comparing university departments, Omega, 1990, 18, 171–183.
• [6] BEASLEY J.E., Determining teaching and research efficiencies, J. Oper. Res. Soc., 1995, 46, 441–452.
• [7] BOĎA M., Classifying flexible measures in data envelopment analysis: A slacks-based measure. A comment, Measurement, 2020, 150, 107045.
• [8] CHARNES A., COOPER W.W., RHODES E., Measuring the efficiency of decision making units, Eur. J. Oper. Res., 1978, 2, 429–444.
• [9] CHEN Y., CHEN Y., OZTEKIN A., A hybrid data envelopment analysis approach to analyse college graduation rate at higher education institutions, INFOR, 2017, 55, 188–210.
• [10] CHEN Y., COOK W.D., DU J., HU H., ZHU J., Bounded and discrete data and Likert scales in data envelopment analysis: application to regional energy efficiency in China, Ann. Oper. Res., 2017, 255, 347–366.
• [11] CHEN Y., GONG Y., LI X., Evaluating NBA player performance using bounded integer data envelopment analysis, INFOR, 2017, 55, 38–51.
• [12] COOK W.D., GREEN R.H., ZHU J., Dual-role factors in data envelopment analysis, IIE. Trans., 2006, 38, 105–115.
• [13] COOK W.D., KRESS M., SEIFORD L.M., On the use of ordinal data in data envelopment analysis, J. Oper. Res. Soc., 1993, 44, 133–140.
• [14] COOK W.D., ROLL Y., KAZAKOV A., A DEA model for measuring the relative eeficiency of highway maintenance patrols, INFOR, 1990, 28, 113–124.
• [15] COOK W.D., ZHU J., Classifying inputs and outputs in data envelopment analysis, Eur. J. Oper. Res., 2007, 180, 692–699.
• [16] COOPER W.W., PASTOR J.T., BORRAS F., APARICIO J., PASTOR D., BAM: a bounded adjusted measure of efficiency for use with bounded additive models, J. Prod. Anal., 2011, 35, 85–94.
• [17] FLEGG A., ALLEN D., FIELD K., THURLOW T., Measuring the efficiency and productivity of British universities: an application of DEA and the Malmquist approach, University of the West of England, Department of Economics, series Discussion Papers, 2003, 304.
• [18] GARCÍA-ARACIL A.,PALOMARES-MONTERO D., Evaluation of Spanish universities: efficiency, technology and productivity change, Prime-Latin America Conference at Mexico City, September 2008, 24–26.
• [19] HAMDI K., LOTFI F.H., MOGHADDAS Z., An application of DEA in efficiency evaluation of universities, Int. J. Math. Oper. Res., 2014, 6, 550–566.
• [20] JOULAEI M., MIRBOLOUKI M., BAGHERZADEH-VALAMI H., Classifying fuzzy flexible measures in data envelopment analysis, J. Intell. Fuzzy. Syst., 2019, 36, 3791–3800.
• [21] KATHARAKI M., KATHARAKIS G., A comparative assessment of Greek universities’ efficiency using quantitative analysis, Int. J. Educ. Res., 2010, 49, 115–128.
• [22] KAZEMI MATIN R., EMROUZNEJAD A., An integer‐valued data envelopment analysis model with bounded outputs, Int. Trans. Oper. Res., 2011, 18, 741–749.
• [23] KEMPKES G., POHL C., The efficiency of German universities – some evidence from nonparametric and parametric methods, Appl. Econ., 2010, 42, 2063–2079.
• [24] KORDROSTAMI S., AMIRTEIMOORI A.,JAHANI SAYYAD NOVEIRI M., Inputs and outputs classification in integer-valued data envelopment analysis, Measurement, 2019, 139, 317–325.
• [25] KORDROSTAMI S., FARAJPOUR G.,JAHANI SAYYAD NOVEIRI M., Evaluating the efficiency and classifying the fuzzy data: A DEA based approach, Int. J. Ind. Math., 2014, 6, 321–327.
• [26] KORDROSTAMI S., JAHANI SAYYAD NOVEIRI M., Evaluating the efficiency of decision making units in the presence of flexible and negative data, Indian J. Sci. Technol., 2012, 5, 3776–3782.
• [27] KORDROSTAMI S.,JAHANI SAYYAD NOVEIRI M., Evaluating the performance and classifying the interval data in data envelopment analysis, Int. J. Manage. Sci. Eng. Manage., 2014, 9, 243–248.
• [28] KUAH C.T., WONG K.Y., BEHROUZI F., Application of data envelopment analysis to assess quality management efficiency, Int. J. Ind. Manuf. Eng., 2010, 4, 1066–1071.
• [29] LOZANO S., VILLA G., Data envelopment analysis of integer-valued inputs and outputs, Comp. Oper.Res., 2006, 33, 3004–3014.
• [30] NABAHAT M., SANGARI F.E., Classifying inputs and outputs with fuzzy data, J. Math. Res., 2012, 4, 46–50.
• [31] OLARIU G.V., BRAD S., Efficiency assessment of universities with DEA method based on public data. Balkan Region Conference on Engineering and Business Education De Gruyter Open, 2017, 106–114.
• [32] SAGARRA M., MAR-MOLINERO C., AGASISTI T., Exploring the efficiency of Mexican universities: integrating data envelopment analysis and multidimensional scaling, Omega, 2017, 67, 123–133.
• [33] SEDIGHI HASSAN KIYADEH M., SAATI S., KORDROSTAMI S., Improvement of models for determination of flexible factor type in data envelopment analysis, Measurement, 2019, 137, 49–57.
• [34] TOHIDI G., MATROUD F., A new non-oriented model for classifying flexible measures in DEA, J. Oper. Res. Soc., 2017, 68, 1019–1029.
• [35] TOLOO M., Alternative solutions for classifying inputs and outputs in data envelopment analysis, Comp. Math. Appl., 2012, 63, 1104–1110.
• [36] TOLOO M., ALLAHYAR M., HANČLOVÁ J., A non-radial directional distance method on classifying inputs and outputs in DEA: Application to banking industry, Expert. Syst. Appl., 2018, 92, 495–506.
• [37] TOLOO M., KESHAVARZ E., HATAMI-MARBINI A., Dual-role factors for imprecise data envelopment analysis, Omega, 2018, 77, 15–31.
• [38] TOLOO M., MENSAH E.K., Robust optimization with nonnegative decision variables: a DEA approach, Comput. Ind. Eng., 2019, 127, 313–325.
• [39] ZHANG B., FENG C., YANG M., XIE J., CHEN Y., Bounded and discrete data in data envelopment analysis with assurance regions: application to design performance evaluation of gear shaping machines, J. Model. Manage., 2020, 15, 1017–1036.
• [40] ZHU J., Imprecise data envelopment analysis (IDEA): a review and improvement with an application, Eur. J. Oper. Res., 2003, 144, 513–529.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).