TY - JOUR
T1 - On finding the most BCC-efficient DMU
T2 - A new integrated MIP-DEA model
AU - Toloo, Mehdi
N1 - Funding Information:
Mehdi Toloo would like to thank the anonymous reviewers and the editor, Prof. M. Cross, for their insightful comments and suggestions. This study was supported in part by Islamic Azad University, Central Tehran Branch, Tehran, Iran.
PY - 2012/11
Y1 - 2012/11
N2 - This paper proposes a new integrated mixed integer programing - data envelopment analysis (MIP-DEA) model to improve the integrated DEA model which was introduced by Toloo & Nalchigar [M. Toloo, S. Nalchigar. A new integrated DEA model for finding most BCC-efficient DMU. Appl. Math. Model. 33 (2009) 597-60]. In this study some problems of applying Toloo & Nalchigar's model are addressed. A new integrated MIP-DEA model is then introduced to determine the most BCC-efficient decision making unit (DMU). Moreover, it is mathematically proved that the new model identifies only a single BCC-efficient DMU by a common set of optimal weights. To show applicability of proposed models, a numerical example is used which contains a real data set of nineteen facility layout designs (FLDs).
AB - This paper proposes a new integrated mixed integer programing - data envelopment analysis (MIP-DEA) model to improve the integrated DEA model which was introduced by Toloo & Nalchigar [M. Toloo, S. Nalchigar. A new integrated DEA model for finding most BCC-efficient DMU. Appl. Math. Model. 33 (2009) 597-60]. In this study some problems of applying Toloo & Nalchigar's model are addressed. A new integrated MIP-DEA model is then introduced to determine the most BCC-efficient decision making unit (DMU). Moreover, it is mathematically proved that the new model identifies only a single BCC-efficient DMU by a common set of optimal weights. To show applicability of proposed models, a numerical example is used which contains a real data set of nineteen facility layout designs (FLDs).
KW - Common set of weights
KW - Data envelopment analysis
KW - Facility layout design
KW - Mixed integer programing model
KW - Most BCC-efficient unit
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U2 - 10.1016/j.apm.2011.11.074
DO - 10.1016/j.apm.2011.11.074
M3 - Article
AN - SCOPUS:84864066697
SN - 0307-904X
VL - 36
SP - 5515
EP - 5520
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 11
ER -