Robustness in stochastic programs is addressed through the development
of a two-stage stochastic programming model with simple recourse that
includes an additional robustness objective. The model is applied to
a problem in acid rain control that involves the allocation of emissio
n reductions to meet environmental quality standards in eastern North
America. Tradeoffs are generated between the original objective functi
on of the two-stage model (that minimizes expected constraint violatio
n) and the second robustness objective, which represents the gradient
of the two-stage objective with respect to selected model parameters.
In this application, the parameters are the second moments of transfer
coefficients that relate point source SO2 emissions to wet sulfate de
position at sensitive receptor locations.