TY - JOUR
T1 - Developing an output-oriented super slacks-based measure model with an application to third-party reverse logistics providers
AU - Azadi, Majid
AU - Saen, Reza Farzipoor
PY - 2011
Y1 - 2011
N2 - Outsourcing is an increasingly significant topic pursued via corporations seeking enhanced efficiency. Third-party reverse logistics involves the employ of external firms to carry out some or all of the firm’s logistics activities. Output-oriented super slacks-based measure (SBM) model is one of the models in data envelopment analysis (DEA). In many real-world applications, data are often stochastic. A successful approach to address uncertainty in data is to replace deterministic data via random variables, leading to chance-constrained DEA. In this paper, a chance-constrained output-oriented super SBM model is developed and also its deterministic equivalent, which is a nonlinear program, is derived. Furthermore, it is shown that the deterministic equivalent of the stochastic output-oriented super SBM model can be converted into a quadratic program. In addition, sensitivity analysis of the stochastic output-oriented super SBM model is discussed with respect to changes on parameters. Finally, a numerical example demonstrates the application of the proposed model.
AB - Outsourcing is an increasingly significant topic pursued via corporations seeking enhanced efficiency. Third-party reverse logistics involves the employ of external firms to carry out some or all of the firm’s logistics activities. Output-oriented super slacks-based measure (SBM) model is one of the models in data envelopment analysis (DEA). In many real-world applications, data are often stochastic. A successful approach to address uncertainty in data is to replace deterministic data via random variables, leading to chance-constrained DEA. In this paper, a chance-constrained output-oriented super SBM model is developed and also its deterministic equivalent, which is a nonlinear program, is derived. Furthermore, it is shown that the deterministic equivalent of the stochastic output-oriented super SBM model can be converted into a quadratic program. In addition, sensitivity analysis of the stochastic output-oriented super SBM model is discussed with respect to changes on parameters. Finally, a numerical example demonstrates the application of the proposed model.
KW - Chance-constrained data envelopment analysis (ccdea)
KW - Output-oriented super sbm
KW - Third-party reverse logistics (3pl) providers
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U2 - 10.1002/mcda.483
DO - 10.1002/mcda.483
M3 - Article
AN - SCOPUS:85013370963
SN - 1057-9214
VL - 18
SP - 267
EP - 277
JO - Journal of Multi-Criteria Decision Analysis
JF - Journal of Multi-Criteria Decision Analysis
IS - 5-6
ER -