Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In real applications of data envelopment analysis (DEA), there are cases in which undesirable outputs are produced along with desirable outputs in such a way that the total sum of the produced undesirable outputs over the production units must be fixed and constant. In this case, a trade-off between the decision-making units (DMUs) is needed to balance the production of undesirable outputs. In a rational sight, this trade-off is done in such a way that all DMUs improve their relative performances. In this paper, a single DEA-based model is proposed to model fixed and variable-sum undesirable outputs in production processes. A common equilibrium efficient frontier is constructed and after reallocating the input/output factors, all decision-making units (DMUs) prevail as efficient. A real case of 32 paper mills in China is given. The results of the analysis demonstrated that some economically developed paper mills have better performance than less developed paper mills; in particular, all efficient paper mills are the developed ones.
Czasopismo
Rocznik
Tom
Strony
5--21
Opis fizyczny
Bibliogr. 22 poz., tab.
Twórcy
autor
- Department of Applied Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
autor
- Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Bibliografia
- [1] AMIRTEIMOORI A., FOULADVAND M., KORDROSTAMI S., Efficiency measurement using nonparametric production analysis in the presence of undesirable outputs. Application to power plants, Oper. Res. Dec., 2017, 27 (3), 5–20.
- [2] AMIRTEIMOORI A., MASROURI S., YANG F., KORDROSTAMI S., Context-based competition strategy and performance analysis with fixed-sum outputs. An application to banking sector, Oper. Res. Soc., 2017, 68, 1461–1469.
- [3] BANKER R.D., CHARNES A., COOPER W.W., Some models for estimating technical and scale inefficiencies in data envelopment analysis, Manage. Sci., 1984, 30, 1078–1092.
- [4] CHARNES A., COOPER W.W., RHODES E., Measuring the efficiency of decision-making units, Eur. J. Oper. Res., 1978, 2 (6), 429–444.
- [5] FӒRE R., GROSSKOPF S., Non-parametric productivity analysis with undesirable outputs. Comment, Amer. J. Agr. Econ., 2003, 85, 1070–1074.
- [6] GOMES E.G., LINS M.P.E., Modelling undesirable outputs with zero sum gains data envelopment analysis models, Oper. Res. Soc., 2008, 59 (5), 616–623.
- [7] HAILU A., VEEMAN T.S., Non-parametric productivity analysis with undesirable outputs. An application to the Canadian pulp and paper industry, Am. J. Agr. Econ., 2001, 83, 605–616.
- [8] KHOSHANDAM L., KAZEMI MATIN R., AMIRTEIMOORI A., Marginal rates of substitution in data envelopment analysis with undesirable outputs. A directional approach, Measurement, 2015, 68, 49–57.
- [9] KUOSMANEN T., Weak disposability in nonparametric production analysis with undesirable outputs, Am. J. Agr. Econ., 2005, 87, 1077–1082.
- [10] LINS M.P.E., GOMES E.G., SOARES DE MELLO J.C.C.B., SOARES DE MELLO A.J.R., Olympic rankingbased on a zero sum gains DEA model, Eur. J. Oper. Res., 2003, 148, 312–322.
- [11] MOMENI E., HOSSEINZADEH LOTFI F., FARZIPOOR SAEN R., NAJAFI E., Centralized DEA-based reallocation of emission permits under cap and trade regulation, J. Clean. Prod., 2019, 234, 306–314.
- [12] PHAM M.D.,ZELENYUK V., Weak disposability in nonparametric production analysis. A new taxonomy of reference technology sets, Eur. J. Oper. Res., 2019, 274 (1), 186–198.
- [13] SADRI S., ROSTAMY-MALKHALIFEH M., SHOJA N., A new method for optimization of inefficient cost units in the presence of undesirable outputs, Int. J. Ind. Math., 2018, 10 (4), 331–338.
- [14] SEIFORD L., ZHU J., Modeling undesirable factors in efficiency evaluation, Eur. J. Oper. Res., 2002, 42, 16–20.
- [15] SHEPHARD R.W., Theory of cost and production functions,Princeton University Press, Princeton 1970.
- [16] WU J., AN Q., ALI S., LIANG L., DEA based resource allocation considering environmental factors, Math. Comp. Model., 2013, 58, 1128–1137.
- [17] WU J., AN Q., YAO X., WANG B., Environmental efficiency evaluation of industry in China based on a new fixed sum undesirable output data envelopment analysis, J. Clean. Prod., 2014, 71, 96–104.
- [18] 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., 2011, 212, 560–569.
- [19] YANG M.,LI Y.,CHEN Y.,LIANG L., An equilibrium efficiency frontier data envelopment analysis approach for evaluating decision-making units with fixed-sum outputs, Eur. J. Oper. Res., 2014, 239, 479–489.
- [20] YANG M., LI Y., LIANG L., A generalized equilibrium efficient frontier data envelopment analysis approach for evaluating DMUs with fixed-sum outputs, Eur. J. Oper. Res., 2015, 246 (1), 209–216.
- [21] ZARE-HAGHIGHI H., ROSTAMY-MALKHALIFEH M., JAHANSHAHLOO M., Measurement of congestion in the simultaneous presence of desirable and undesirable outputs, J. Appl. Math., 2014, SI22, 1–9.
- [22] ZHANG J., WU Q., ZHOU Z., A two-stage DEA model for resource allocation in industrial pollution treatment and its application in China, J. Clean. Prod., 2019, 228, 29–39.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ee007851-211d-4b74-8755-a28e0bd16a8e