An Approach to Identify and Evaluate Congestion in Data Envelopment Analysis

Subject Areas : International Journal of Data Envelopment Analysis

A. Ghomashi ¹ , M. Abbasi ² , S. Shahghobadi ³

1 - Department of mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran
2 - Department of mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
3 - Department of Applied Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran

Received: 2016-07-13 Accepted : 2017-04-23 Published : 2017-07-01

Keywords: Data Envelopment Analysis, Congestion, Efficiency,

Abstract :

Congestion indicates an economic state where inputs are overly invested. Evidence of congestion occurs whenever reducing some inputs can increase outputs. In this paper, we present a new model to identify and evaluate congestion in Data Envelopment Analysis (DEA). We use output efficient DMUs to construct our proposed model to evaluate congestion. We also proposed a linear inequality and equality system to identify the occurrence of congestion. Finally, three numerical examples are presented to illustrate the use of our proposed method.

References:

[1] Cooper, W. W., Deng, H., Gu, B., Li, S., & Thrall, R. M. (2001). Using DEA to improve the management of congestion in Chinese industries (1981–1997). SocioEconomic Planning Sciences, 35(4), 227- 242.

[2] Cooper, W. W., Seiford, L. M., & Tone, K. (2006). Introduction to data envelopment analysis and its uses: with DEA-solver software and references. Springer Science & Business Media..

[3] Cooper, W. W., Seiford, L. M., & Zhu, J. (2000). A unified additive model approach for evaluating inefficiency and congestion with associated measures in DEA. Socio-Economic Planning Sciences, 34(1), 1-25