This paper reports an industrial experience of managing the variability of a logistics robotic system. Logistics centers need to dispatch products rapidly and accurately from huge inventories in accordance with the daily flow of orders, and autonomous logistics robotic systems provide a solution that can handle a wide variety of products without relying on manual tasks. However, the development of such systems can be challenging due to the many different operating and product characteristics that must be considered. We have therefore developed a variability management approach that models the variability of robotic systems and the items to be handled in such a way that the software components can be reused and expanded across different products and environments. This paper presents the motivation, challenges, and benefits of applying the variability management approach to a logistics robotic system.