Generalized Dual Decomposition replaces linear regularizers with nonlinear ones in dual decomposition to achieve strong duality and global optimality for mixed-integer two-stage stochastic programs while retaining parallelization.
In this case, the solution (α∗, β∗) of the system is (0,0) because the right-hand side is0, and this gives the cutθ≥0
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Generalized Dual Decomposition
Generalized Dual Decomposition replaces linear regularizers with nonlinear ones in dual decomposition to achieve strong duality and global optimality for mixed-integer two-stage stochastic programs while retaining parallelization.