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Robust solutions to box-constrained stochastic linear variational inequality problem

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We present a new method for solving the box-constrained stochastic linear variational inequality problem with three special types of uncertainty sets. Most previous methods, such as the expected value and… Click to show full abstract

We present a new method for solving the box-constrained stochastic linear variational inequality problem with three special types of uncertainty sets. Most previous methods, such as the expected value and expected residual minimization, need the probability distribution information of the stochastic variables. In contrast, we give the robust reformulation and reformulate the problem as a quadratically constrained quadratic program or convex program with a conic quadratic inequality quadratic program, which is tractable in optimization theory.

Keywords: stochastic linear; linear variational; box constrained; constrained stochastic; inequality; problem

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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