The analysis of execution policies and estimation of chances to achieve the planned economic performance in a real uncertain and perturbed execution environment is a vital and up-to-date issue in many supply chains. This study is among first that addresses this issue with the help of attainable sets. It is shown that attainable sets can be used to obtain estimations of goal attainability and consider perturbations and attainability abilities of the SC as time functions in order to estimate SC robustness. With the presented results, it becomes possible to obtain attainable sets for interval data with no a priori information about perturbation impacts, i.e., for non-stationary SC perturbations