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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
  • RIS
  • TXT
@Article{IJNAM-15-370, author = {Shen , W. F.Zhou , Z. B.Liu , P. D.Jin , Q. Y.Liu , W. B. and Niu , Huayong}, 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.

Shen , W. F.Zhou , Z. B.Liu , P. D.Jin , Q. Y.Liu , W. B. and Niu , Huayong. (2018). 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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