A storage arrangement having multiple storage racks, a storage buffer device for interim buffering of a load during storage, a retrieval buffer device for interim buffering of a load during retrieval, and storage and retrieval devices for servicing the storage places of the storage racks is provided. The storage arrangement additionally comprises a storage vertical conveying device having multiple storage transport platforms and a retrieval vertical conveying device having multiple retrieval transport platforms. A storage conveying system is connected to the storage vertical conveying device, and a retrieval conveying system is connected to the retrieval vertical conveying device. A control system ensures that the storage transport platforms and the retrieval transport platforms are moved independently of one another. In addition, an order-picking system with a storage arrangement of the above-mentioned type and a method for operating the storage arrangement are provided.