DESIGNING A MULTI-OBJECTIVE DATA ENVELOPMENT ANALYSIS MODEL TO PREDICT EFFICIENCY OF ORGANIZATIONAL UNITS

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YAGHOUBI A.

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Journal: Journal of Operational Research in its Applications Year:2016 | Volume:13 | Issue:1 (48) Page(s): 51-72

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Title

DESIGNING A MULTI-OBJECTIVE DATA ENVELOPMENT ANALYSIS MODEL TO PREDICT EFFICIENCY OF ORGANIZATIONAL UNITS

Author(s)

YAGHOUBI A. | Issue Writer Certificate

Keywords

EFFICIENCYQ2

STOCHASTIC DATA ENVELOPMENT ANALYSISQ2

DYNAMIC PROGRAMMINGQ1

RANDOM FUZZY VARIABLEQ2

GENETIC ALGORITHMQ2

MONTE CARLO SIMULATIONQ2

Abstract

DEA is a technique that measures the EFFICIENCY of decision-making units (DMUs) based on their use of inputs and outputs. Believing that future planning and predicting the EFFICIENCY of DMUs is very important, this paper first presents a new multi-objective fuzzy stochastic DEA model (MOFS-DEA) with common weights in dynamic environment under mean chance constraints that considers the fluctuations of data per repeated periods. In the initial proposed MOFS-DEA model, the inputs and outputs are assumed to be characterized by random triangular fuzzy variables with normal distribution in which data are changing sequentially. Under this assumption, the solution process is very complex, so we then convert initial proposed MOFS-DEA model to its equivalent multi-objective stochastic programming. In order to shorten the computational time, we convert the equivalent multi-objective stochastic programming model to mono-objective stochastic model using the fuzzy multiple objectives programming approach. To solve it, we designed a new hybrid algorithm by integrating Monte Carlo (MC) simulation and GENETIC ALGORITHM (GA). Finally, one case study is presented to demonstrate the proposed modeling idea and the effectiveness of the hybrid algorithm. The computational results show that our hybrid algorithm outperforms the hybrid GA algorithm which was proposed by Qin and Liu (2010) in terms of runtime and solution quality.

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References

SOLVING A CLASS OF OPTIMAL CONTROL PROBLEMS WITH THE USE OF THE HYBRID GENETIC ALGORITHM

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APA: Copy

YAGHOUBI, A.. (2016). DESIGNING A MULTI-OBJECTIVE DATA ENVELOPMENT ANALYSIS MODEL TO PREDICT EFFICIENCY OF ORGANIZATIONAL UNITS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 13(1 (48)), 51-72. SID. https://sid.ir/paper/164502/en

Vancouver: Copy

YAGHOUBI A.. DESIGNING A MULTI-OBJECTIVE DATA ENVELOPMENT ANALYSIS MODEL TO PREDICT EFFICIENCY OF ORGANIZATIONAL UNITS. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2016;13(1 (48)):51-72. Available from: https://sid.ir/paper/164502/en

IEEE: Copy

A. YAGHOUBI, “DESIGNING A MULTI-OBJECTIVE DATA ENVELOPMENT ANALYSIS MODEL TO PREDICT EFFICIENCY OF ORGANIZATIONAL UNITS,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 13, no. 1 (48), pp. 51–72, 2016, [Online]. Available: https://sid.ir/paper/164502/en

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