Abstract: A storage system having multiple storage sections, each configured for storing containers in storage cells arranged in multiple rows at various horizontal levels with respect to ground. Multiple sets of lifting transportation devices are configured for moving in a first horizontal direction along pairs of rails arranged at respective first predetermined horizontal levels in passages between adjacent storage sections. Multiple container carriages corresponding to respective sets of the lifting transportation devices are configured for moving in a second horizontal direction substantially perpendicular to the first horizontal direction. A lifting sequencer is configured for moving in a vertical direction to receive containers from the multiple container carriages and provide a sequence of containers arranged in a predetermined order.