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Izadikhah, M.
- Stochastic Multiplicative DEA Model for Measuring the Efficiency and Ranking of DMUs under VRS Technology
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Authors
Affiliations
1 Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, IR
2 Department of Mathematics, Arak-Branch, Islamic Azad University, Arak, IR
1 Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, IR
2 Department of Mathematics, Arak-Branch, Islamic Azad University, Arak, IR
Source
Indian Journal of Science and Technology, Vol 7, No 11 (2014), Pagination: 1765-1773Abstract
One class of models introduced in data envelopment analysis is called multiplicative model. In this paper, the extension of multiplicative data envelopment analysis(MDEA) model under variable return to scale(VRS) technology in the presence of stochastic data was focused on. The log-normal distribution is a family of probability density functions that is frequently used in practical situations. Therefore, in the present study, a stochastic MDEA model under VRS technology was proposed for measuring the stochastic α- efficiency of decision making units (DMUs) with inputs and outputs having log-normal distributions. Moreover, stochastic super-efficiency model was proposed for ranking stochastic α- efficient DMUs in stochastic MDEA model. Finally, an example of the system reliability was presented for 12 different brands of computers to demonstrate our proposed modeling idea and its efficiency.Keywords
Log-normal Distribution, Multiplicative Data Envelopment Analysis(MDEA), Stochastic Mdea, Stochastic A- Efficiency, Stochastic Super-efficiency, System ReliabilityFull Text
- Stochastic Modified MAJ Model for Measuring the Efficiency and Ranking of DMUs
Abstract Views :178 |
PDF Views:0
Authors
Affiliations
1 Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, IR
2 Department of Mathematics, Arak-Branch, Islamic Azad University, Arak, IR
1 Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, IR
2 Department of Mathematics, Arak-Branch, Islamic Azad University, Arak, IR
Source
Indian Journal of Science and Technology, Vol 8, No 15 (2015), Pagination:Abstract
The present study focuses on the extention of modified MAJ model in stochastic-data presence. To this aim, a stochastic modified MAJ model in Stochastic Data Envelopment Analysis (SDEA) is proposed for measuring the stochastic α- efficiency of Decision-Making Units (DMUs) with normal-distribution inputs and outputs. Furthermore, stochastic super efficiency based on modified MAJ model is proposed for ranking stochastic α - efficient DMUs in stochastic modified MAJ model. Finally, a numerical example is presented to demonstrate the proposed idea.Keywords
Modified MAJ Model, Stochastic Data Envelopment Analysis, Stochastic Modified MAJ Model, Stochastic Super Efficiency ModelFull Text