Improved interval DEA models with common weight
Kybernetika, Tome 50 (2014) no. 5, pp. 774-785
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The traditional data envelopment analysis (DEA) model can evaluate the relative efficiencies of a set of decision making units (DMUs) with exact values. But it cannot handle imprecise data. Imprecise data, for example, can be expressed in the form of the interval data or mixtures of interval data and exact data. In order to solve this problem, this study proposes three new interval DEA models from different points of view. Two examples are presented to illustrate and validate these models.
The traditional data envelopment analysis (DEA) model can evaluate the relative efficiencies of a set of decision making units (DMUs) with exact values. But it cannot handle imprecise data. Imprecise data, for example, can be expressed in the form of the interval data or mixtures of interval data and exact data. In order to solve this problem, this study proposes three new interval DEA models from different points of view. Two examples are presented to illustrate and validate these models.
DOI : 10.14736/kyb-2014-5-0774
Classification : 90B50, 90C08
Keywords: data envelopment analysis (DEA); interval data; interval DEA model; common weight
@article{10_14736_kyb_2014_5_0774,
     author = {Sun, Jiasen and Miao, Yajun and Wu, Jie and Cui, Lianbiao and Zhong, Runyang},
     title = {Improved interval {DEA} models with common weight},
     journal = {Kybernetika},
     pages = {774--785},
     year = {2014},
     volume = {50},
     number = {5},
     doi = {10.14736/kyb-2014-5-0774},
     mrnumber = {3301860},
     zbl = {1308.90078},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-5-0774/}
}
TY  - JOUR
AU  - Sun, Jiasen
AU  - Miao, Yajun
AU  - Wu, Jie
AU  - Cui, Lianbiao
AU  - Zhong, Runyang
TI  - Improved interval DEA models with common weight
JO  - Kybernetika
PY  - 2014
SP  - 774
EP  - 785
VL  - 50
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-5-0774/
DO  - 10.14736/kyb-2014-5-0774
LA  - en
ID  - 10_14736_kyb_2014_5_0774
ER  - 
%0 Journal Article
%A Sun, Jiasen
%A Miao, Yajun
%A Wu, Jie
%A Cui, Lianbiao
%A Zhong, Runyang
%T Improved interval DEA models with common weight
%J Kybernetika
%D 2014
%P 774-785
%V 50
%N 5
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-5-0774/
%R 10.14736/kyb-2014-5-0774
%G en
%F 10_14736_kyb_2014_5_0774
Sun, Jiasen; Miao, Yajun; Wu, Jie; Cui, Lianbiao; Zhong, Runyang. Improved interval DEA models with common weight. Kybernetika, Tome 50 (2014) no. 5, pp. 774-785. doi: 10.14736/kyb-2014-5-0774

[1] Angiz, M. Z., Emrouznejad, L. A., Mustafa, A., Al-Eraqi, A. S.: Aggregating preference ranking with fuzzy data envelopment analysis. Knowledge-Based Systems 23 (2010), 512-519. | DOI

[2] Braglia, M., Petroni, A.: Evaluating and selecting investments in industrial robots. Int. J. Product. Res. 37 (1999), 4157-4178. | DOI | Zbl

[3] Charnes, A., Cooper, W. W., Rhodes, E.: Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978), 429-444. | DOI | MR | Zbl

[4] Co, H. C., Chew, K. S.: Performance and R&D expenditures in American and Japanese manufacturing firms. Int. J. Product. Res. 35 (1997), 3333-3348. | DOI | Zbl

[5] Cooper, W. W., Park, K. S., Yu, G.: An illustrative application of IDEA (imprecise data envelopment analysis) to a Korean mobile telecommunication company. Oper. Res. 49 (2011), 807-820. | DOI | Zbl

[6] Despotis, D. K., Smirlis, Y. G.: Data envelopment analysis with imprecise data. Eur. J. Oper. Res. 140 (2002), 24-36. | DOI | MR | Zbl

[7] Haghighat, M. S., Khorram, E.: The maximum and minimum number of efficient units in DEA with interval data. Appl. Math. Comput. 163 (2004), 919-930. | DOI | MR | Zbl

[8] Jahanshahloo, G. R., Lofti, F. Hosseinzadeh, Moradi, M.: Sensitivity and stability analysis in DEA with interval data. Appl. Math. Comput. 156 (2004), 463-477. | DOI | MR

[9] Jahanshahloo, G. R., Matin, R. K., Vencheh, A. H.: On return to scale offully effcient DMUs in data envelopment analysis under interval data. Appl. Math. Comput. 154 (2004), 31-40. | DOI | MR

[10] Jahanshahloo, G. R., Matin, R. K., Vencheh, A. H.: On FDH effciency analysis with interval data. Appl. Math. Comput. 159 (2004), 47-55. | DOI | MR

[11] Kim, S. H., Park, C. G., Park, K. S.: An application ofdata envelopment analysis in telephone offices evaluation with partial data. Comput. Oper. Res. 26 (1999), 59-72. | DOI

[12] Lai, M. C., Huang, H. C., Wang, W. K.: Designing a knowledge-based system for benchmarking: A DEA approach. Knowledge-Based Syst. 24 (2011), 662-671. | DOI

[13] Lee, Y. K., Park, K. S., Kim, S. H.: Identification of inefficiencies in an additive model based IDEA (imprecise data envelopment analysis). Comput. Oper. Res. 29 (2002), 1661-1676. | DOI | MR

[14] Sun, S.: Assessing computer numerical control machines using data envelopment analysis. Int. J. Product. Res. 40 (2002), 2011-2039. | DOI | Zbl

[15] Wang, R. T., Ho, C. T. B., Oh, K.: Measuring production and marketing efficiency using grey relation analysis and data envelopment analysis. Int. J. Product. Res. 48 (2010), 183-199. | DOI | Zbl

[16] Wang, Y. M., Greatbanks, R., Yang, J. B.: Interval efficiency assessment using data envelopment analysis. Fuzzy Sets and Systems 153 (2005), 347-370. | MR | Zbl

Cité par Sources :