We apply the JuDGE optimization package to a multistage stochas- tic leader-follower model that determines a transmission capacity ex- pansion plan to maximize expected social welfare of consumers and producers who act as Cournot oligopolists in each time period. The problem is formulated as a large-scale mixed integer program and applied to a 5-bus instance over scenario trees of varying size. The computational eort required by JuDGE is compared with solving the deterministic equivalent mixed integer program using a state-of-the- art integer programming package.
Accepted for publishing.
S. Wogrin, D.A. Tejada, A. Downward, A.B. Philpott. Welfare-maximizing transmission capacity expansion under uncertainty. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.