Stochastic Two-stage Network-structures Under P-models: A DEA Based Approach

Subject Areas : International Journal of Industrial Mathematics

S. Mehdizadeh ¹ , A. R. Amirteimoori ² , M. H. Behzadi ³ , S. Kordrostami ⁴

1 - Department of Mathematics, Islamic Azad University, Rasht Branch, Rasht, Iran.
2 - Department of Mathematics, Islamic Azad University, Rasht Branch, Rasht, Iran.
3 - Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
4 - Department of Applied Mathematics, Islamic Azad University, Lahidjan Branch, Lahijan, Iran.

Received: 2019-06-16 Accepted : 2019-09-23 Published : 2020-05-01

Keywords: Performance evaluation, Chance constraint model, Stochastic DEA, Two-stage system,

Abstract :

Regular NDEA models for calculating the efficiency of DMUs with two-stage construction requires the data set to be deterministic. In the real world, however, there are many observations that have stochastic behavior. This paper proposes a network DEA with two-stage structures models by the attention to stochastic data. The stochastic two-stage network DEA models are formulated based on the P-models of chance constrained programming and leader-follower concepts.