CHARACTERIZATION OF EFFICIENT POINTS OF THE PRODUCTION POSSIBILITY SET UNDER VARIABLE RETURNS TO SCALE IN DEA

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HOSSEINZADEH LOTFI FARHAD; NOURA ABAS ALI; JAHANSHAHLOU GHOLAM REZA; GERAMI J.; MOZAFARI M.R.

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Journal: IRANIAN JOURNAL OF OPERATIONS RESEARCH Year:2010 | Volume:2 | Issue:1 Page(s): 50-61

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Title

CHARACTERIZATION OF EFFICIENT POINTS OF THE PRODUCTION POSSIBILITY SET UNDER VARIABLE RETURNS TO SCALE IN DEA

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Keywords

DATA ENVELOPMENT ANALYSIS

MULTI-OBJECTIVE LINEAR PROGRAMMING

PRODUCTION POSSIBILITY SET

VARIABLE RETURNS TO SCALE

Abstract

We suggest a method for finding the non-dominated points of the PRODUCTION POSSIBILITY SET (PPS) with VARIABLE RETURNS TO SCALE (VRS) technology in DATA ENVELOPMENT ANALYSIS (DEA). We present a multiobjective linear programming (MOLP) problem whose feasible region is the same as the PPS under VARIABLE RETURNS TO SCALE for generating non-dominated points. We demonstrate that Pareto solutions of the MOLP produce efficient units in DEA, and vice versa. We solve the MOLP problem by using a finite number of weights which are extreme rays of the cone generated by the efficient solutions. We obtain new efficient points by changing weights, and thus the efficient solutions set are produced.

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APA: Copy

HOSSEINZADEH LOTFI, FARHAD, NOURA, ABAS ALI, JAHANSHAHLOU, GHOLAM REZA, GERAMI, J., & MOZAFARI, M.R.. (2010). CHARACTERIZATION OF EFFICIENT POINTS OF THE PRODUCTION POSSIBILITY SET UNDER VARIABLE RETURNS TO SCALE IN DEA. IRANIAN JOURNAL OF OPERATIONS RESEARCH, 2(1), 50-61. SID. https://sid.ir/paper/308442/en

Vancouver: Copy

HOSSEINZADEH LOTFI FARHAD, NOURA ABAS ALI, JAHANSHAHLOU GHOLAM REZA, GERAMI J., MOZAFARI M.R.. CHARACTERIZATION OF EFFICIENT POINTS OF THE PRODUCTION POSSIBILITY SET UNDER VARIABLE RETURNS TO SCALE IN DEA. IRANIAN JOURNAL OF OPERATIONS RESEARCH[Internet]. 2010;2(1):50-61. Available from: https://sid.ir/paper/308442/en

IEEE: Copy

FARHAD HOSSEINZADEH LOTFI, ABAS ALI NOURA, GHOLAM REZA JAHANSHAHLOU, J. GERAMI, and M.R. MOZAFARI, “CHARACTERIZATION OF EFFICIENT POINTS OF THE PRODUCTION POSSIBILITY SET UNDER VARIABLE RETURNS TO SCALE IN DEA,” IRANIAN JOURNAL OF OPERATIONS RESEARCH, vol. 2, no. 1, pp. 50–61, 2010, [Online]. Available: https://sid.ir/paper/308442/en

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