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Volume 15, Issue 3
A Unified Parallel DEA Model and Efficiency Modeling of Multi-Activity and/or Non-Homogeneous Activity

W. F. Shen, Z. B. Zhou, P. D. Liu, Q. Y. Jin, W. B. Liu & Huayong Niu

Int. J. Numer. Anal. Mod., 15 (2018), pp. 370-391.

Published online: 2018-03

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  • Abstract

Data envelopment analysis (DEA), as originally proposed, is a methodology for evaluating the relative efficiencies of peer decision making units (DMUs) under some general assumptions. DEA models with non-homogeneous DMUs and multi-activity structures are two different subjects referring to relaxing various assumptions. In this paper, we show that these two formulations are both derived by embedding the corresponding process into a general parallel DEA model. Furthermore, following the parallel DEA framework, general DEA models for multi-activity and non-homogeneity are proposed, which are able to handle many situations where different aspects of non-homogeneity or multi-activities exist. This study provides important insights into the existing DEA models for non-homogeneity and multi-activity.

  • Keywords

Data envelopment analysis, parallel model, multi-activity, non-homogeneous.

  • AMS Subject Headings

65XX

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wfshen@sdufe.edu.cn (W. F. Shen)

z.b.zhou@hnu.edu.cn (Z. B. Zhou)

peide.liu@gmall.com (P. D. Liu)

qianyingjin@hnu.edu.cn (Q. Y. Jin)

w.b.liu@kent.ac.uk (W. B. Liu)

ibs_niuhuayong@163.com (Huayong Niu)

  • BibTex
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  • TXT
@Article{IJNAM-15-370, author = {W. F. and Shen and wfshen@sdufe.edu.cn and 11333 and School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics. Jinan, 250014, P.R.China and W. F. Shen and Z. B. and Zhou and z.b.zhou@hnu.edu.cn and 11332 and School of Business Administration, Hunan University, Changsha 410082, P. R. China and Z. B. Zhou and P. D. and Liu and peide.liu@gmall.com and 20695 and and P. D. Liu and Q. Y. and Jin and qianyingjin@hnu.edu.cn and 11327 and School of Business Administration, Hunan University, Changsha 410082, P. R. China and Q. Y. Jin and W. B. and Liu and w.b.liu@kent.ac.uk and 11326 and KBS, University of Kent, Canterbury, CT2 7NF, England and W. B. Liu and Huayong and Niu and ibs_niuhuayong@163.com and 11320 and International Business School,Beijing Foreign Studies University, Beijing, 100089, P.R.China and Huayong Niu}, title = {A Unified Parallel DEA Model and Efficiency Modeling of Multi-Activity and/or Non-Homogeneous Activity}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {15}, number = {3}, pages = {370--391}, abstract = {

Data envelopment analysis (DEA), as originally proposed, is a methodology for evaluating the relative efficiencies of peer decision making units (DMUs) under some general assumptions. DEA models with non-homogeneous DMUs and multi-activity structures are two different subjects referring to relaxing various assumptions. In this paper, we show that these two formulations are both derived by embedding the corresponding process into a general parallel DEA model. Furthermore, following the parallel DEA framework, general DEA models for multi-activity and non-homogeneity are proposed, which are able to handle many situations where different aspects of non-homogeneity or multi-activities exist. This study provides important insights into the existing DEA models for non-homogeneity and multi-activity.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12521.html} }
TY - JOUR T1 - A Unified Parallel DEA Model and Efficiency Modeling of Multi-Activity and/or Non-Homogeneous Activity AU - Shen , W. F. AU - Zhou , Z. B. AU - Liu , P. D. AU - Jin , Q. Y. AU - Liu , W. B. AU - Niu , Huayong JO - International Journal of Numerical Analysis and Modeling VL - 3 SP - 370 EP - 391 PY - 2018 DA - 2018/03 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12521.html KW - Data envelopment analysis, parallel model, multi-activity, non-homogeneous. AB -

Data envelopment analysis (DEA), as originally proposed, is a methodology for evaluating the relative efficiencies of peer decision making units (DMUs) under some general assumptions. DEA models with non-homogeneous DMUs and multi-activity structures are two different subjects referring to relaxing various assumptions. In this paper, we show that these two formulations are both derived by embedding the corresponding process into a general parallel DEA model. Furthermore, following the parallel DEA framework, general DEA models for multi-activity and non-homogeneity are proposed, which are able to handle many situations where different aspects of non-homogeneity or multi-activities exist. This study provides important insights into the existing DEA models for non-homogeneity and multi-activity.

W. F. Shen, Z. B. Zhou, P. D. Liu, Q. Y. Jin, W. B. Liu & Huayong Niu. (2020). A Unified Parallel DEA Model and Efficiency Modeling of Multi-Activity and/or Non-Homogeneous Activity. International Journal of Numerical Analysis and Modeling. 15 (3). 370-391. doi:
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