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.

优化存储系统的设计对于卓越运营至关重要。本文的目的是探索自动存储系统设计的优化。在后者中，我们对三种不同的系统感兴趣。首先，我们重点介绍用于解决此问题的不同方法，并指出其局限性。此后，我们提出了不同的相应周期时间模型。然后，我们确定并演示了几个数学属性，将它们用作优势属性以实现有效的解析算法。我们的算法大大超越了用于设计优化问题的现有优化方法。如比较数值研究所示，所提出的方法使我们可以获得比常用方法快十倍的最优解。