Stochastic goal programming: A meanvariance approach
We propose a stochastic goal programming (GP) model leading to a structure of meanvariance minimisation. The solution to the stochastic problem is obtained from a linkage between the standard expected utility theory and a strictly linear, weighted GP model under uncertainty. The approach essentially consists in specifying the expected utility equation corresponding to every goal. Arrow's absolute risk aversion coefficients play their role in the calculation process. Once the model is defined and justified, an illustrative example is developed.
goal programming expected utility theory