On the Solution of Bi-level Large Scale Quadratic Programming Problem with Stochastic Parameters in the Constraints
O. E. Emam, S. A. Kholeif, S. M. Azzam
Journal of Advances in Mathematics and Computer Science · pp. 571–582 · Published 18 Nov 2014
10.9734/BJMCS/2015/14371Abstract
In this paper, the bi-level large scale quadratic programming problem with stochastic parameters in the constraints (SBLLSQPP) is solved. Randomness is assumed only on the right-hand side of the constraints and the random variables are assumed to be normally distributed. The main features of the proposed solution procedure are based on convert the probabilistic nature of this problem into an equivalent deterministic, Taylor transformation and decomposition algorithms. An illustrative numerical example is given to clarify the main results developed in the paper.
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