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Optimizing the design of storage systems is of crucial importance for operational excellence. The aim of this paper is to explore the optimization of the design for automated storage systems. In this latter, we are interested in three different systems. First, we highlight the different methods used to deal with this problem and point out their limits. Thereafter, we present the different corresponding cycle times models. Then, we identify and demonstrate several mathematical properties, which we use as dominance properties to implement an efficient resolution algorithm. Our algorithm greatly surpasses the existing optimization methods used for the design optimization problems. The proposed approach allows us to obtain the optimal solution ten times faster than the commonly used methods, as illustrated by a comparative numerical study.