We consider the problem of multivariate multi-objective allocation where no or limited information is available within the stratum variance. Results show that a game theoretic approach (based on weighted goal programming) can be applied to sample size allocation problems. We use simulation technique to determine payoff matrix and to solve a minimax game.
In this article, we propose compromise allocations for multivariate stratified random sampling using the auxiliary attributes under non-response. We modified extended lexicographic goal programming technique and compared it with fuzzy goal programming and value function technique. We addressed the problem of compromise allocation when the auxiliary… (More)