In one embodiment, an inventory storage module has a first conveyor segment, a second conveyor segments offset from the first segment along a vertical direction, a first vertical lift at a first end of the module, and a second vertical lift at a second end of the module, which together define a movement path that is elongate along a longitudinal direction between the first and second ends. The storage module can translate inventory storage containers around the movement path until a desired one of the inventory storage containers is presented at one of the first end and the second end. In another embodiment, a plurality of instances of the storage module are arranged in a vertical stack of independently controllable storage modules.