Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
Abstract
Data Envelopment Analysis (DEA) is a mathematical technique to evaluate the performance of firms with multiple inputs and outputs. In conventional DEA models, the efficiency scores of Decision Making Units (DMUs) with non-negative inputs and outputs are evaluated in a special period of time. However, in the real world there are situations wherein performance of firms must be evaluated in multiple periods of time while negative data are present; for this matter the current paper proposes an approach for assessing the efficiency of multi-period systems in the presence of positive and negative measures. To illustrate, the average efficiency of firms with some negative measures are calculated in multi-period production systems. The suggested approach utilizes the Semi-Oriented Radial Measure (SORM) model (Emrouznejad et al. \cite{4}) for incorporating some negative factors (inputs and outputs) and determining the efficiency of multi-period production systems. A real world data set related to banking sector is used to illustrate and clarify the proposed approach.
Kordrostami, S., & Jahani Sayyad Noveiri, M. (2017). Evaluating the Efficiency of Firms with Negative Data in Multi-Period Systems: An Application to Bank Data. International Journal of Industrial Mathematics, 9(1), 27-35.
MLA
S. Kordrostami; M. Jahani Sayyad Noveiri. "Evaluating the Efficiency of Firms with Negative Data in Multi-Period Systems: An Application to Bank Data". International Journal of Industrial Mathematics, 9, 1, 2017, 27-35.
HARVARD
Kordrostami, S., Jahani Sayyad Noveiri, M. (2017). 'Evaluating the Efficiency of Firms with Negative Data in Multi-Period Systems: An Application to Bank Data', International Journal of Industrial Mathematics, 9(1), pp. 27-35.
VANCOUVER
Kordrostami, S., Jahani Sayyad Noveiri, M. Evaluating the Efficiency of Firms with Negative Data in Multi-Period Systems: An Application to Bank Data. International Journal of Industrial Mathematics, 2017; 9(1): 27-35.
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