Processes are provided for dynamically sorting and storing items in a warehouse without the need for presorting items and without delaying or negatively impacting the efficiency of operators in the warehouse. Items are individually scanned and placed in totes of a tote-array provided on a mobile robot. An optimized route is calculated based on the items in the tote-array, and the robot navigates to a first location on the route. When the item has been put away, a replacement item is placed in the just-emptied tote of the tote-array, and an updated route is calculated. A robot capable of navigating to predefined locations for storing items is a warehouse is provided.