Quantitative stability of mixed-integer two-stage quadratic stochastic programs |
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Authors: | Zhiping Chen Youpan Han |
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Institution: | 1. Faculty of Science, Department of Scientific Computing and Applied Software, Xi??an Jiaotong University, 710049, Xi??an, Shaanxi, People??s Republic of China
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Abstract: | For our introduced mixed-integer quadratic stochastic program with fixed recourse matrices, random recourse costs, technology
matrix and right-hand sides, we study quantitative stability properties of its optimal value function and optimal solution
set when the underlying probability distribution is perturbed with respect to an appropriate probability metric. To this end,
we first establish various Lipschitz continuity results about the value function and optimal solutions of mixed-integer parametric
quadratic programs with parameters in the linear part of the objective function and in the right-hand sides of linear constraints.
The obtained results extend earlier results about quantitative stability properties of stochastic integer programming and
stability results for mixed-integer parametric quadratic programs. |
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Keywords: | |
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