×

Undesirable factors in efficiency measurement. (English) Zbl 1116.90379

Summary: Many production processes yield both desirable factors (inputs/outputs) and undesirable ones. There are some models that evaluate efficiency level in the presence of undesirable factors. The current models consider only undesirable outputs (inputs). In this paper we propose a model for treating such factors in the framework of Data Envelopment Analysis (DEA). The proposed model considers both of the undesirable factors and we discuss efficiency measurement in the context of the model. A numerical example is given.

MSC:

90C06 Large-scale problems in mathematical programming
62-07 Data analysis (statistics) (MSC2010)
90B50 Management decision making, including multiple objectives
Full Text: DOI

References:

[1] Allen, K., DEA in the ecological-an overview, (Westermann, G., Data Envelopment Analysis in the Service Sector (1999), Wiesbaden), 203-235
[2] Charnes, A.; Cooper, W. W.; Rhodes, E., Measuring the efficiency of decision making units, Eur. J. Oper. Res., 2, 429-444 (1978) · Zbl 0416.90080
[3] Cooper, W. W.; Seiford, L. M.; Tone, K., Data Envelopment Analysis : A Comprehensive Text With Models, Applications, References and DEA-Solver Software (1999), Kluwer Academic Publisher · Zbl 0990.90500
[4] Färe, R.; Grosskopf, S.; Lovell, C. A.K.; Pasurka, C., Multilateral productivity comparisons when some outputs are undesirable : a nonparametric approach, Rev. Eco. Stat., 71, 90-98 (1989)
[5] G.R. Jahanshahloo, A. Hadi Vencheh, A.A. Foroughi, R. Kazemi Matin, Inputs/outputs estimation in DEA when some factors are undesirable, Appl. Math. Comput. (in press); G.R. Jahanshahloo, A. Hadi Vencheh, A.A. Foroughi, R. Kazemi Matin, Inputs/outputs estimation in DEA when some factors are undesirable, Appl. Math. Comput. (in press) · Zbl 1085.62133
[6] Koopmans, T. C., Analysis of production as an efficient combination of activities, (Koopmans, T. C., Activity Analysis of Production and Allocation, Cowles Commission (1951), Wiley: Wiley New York), 33-97 · Zbl 0045.09506
[7] Scheel, H., Undesirable outputs in efficiency valuations, Eur. J. Oper. Res., 132, 400-410 (2001) · Zbl 0985.90053
[8] Seiford, L. M.; Zhu, J., Modeling undesirable factors in efficiency evaluation, Eur. J. Oper. Res., 142, 16-20 (2002) · Zbl 1079.90565
[9] Smith, P., Data envelopment analysis applied to financial statements, Omega: Int. J. Manage. Sci., 18, 131-138 (1990)
[10] Joro, T.; Korhonen, P.; Wallenius, J., Structural comparison of data development analysis and multiple objective linear programming, Manage. Sci., 44, 962-970 (1998) · Zbl 0989.90085
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.