Question: An AS/RS with four aisles is 80 m long and 18 m high. The S/R machine has a maximum speed of 1.6 m/sec in the horizontal direction. It accelerates from 0 to 1.6m/sec in a distance of 2.0 m. On approaching its target position (where the S/R machine will transfer a load onto or off of its platform), it decelerates from 1.6 m/sec to a full stop in 2.0 m. The maximum vertical speed is 0.5 m/sec, and the acceleration and deceleration distances are each 0.3 m. Rates of acceleration and deceleration are constant in both directions. Pick-and-deposit time = 12 sec. Utilization of the AS/RS is assumed to be 90%, and the number of dual command cycles equals the number of single command cycles

(a) Calculate the single command and dual command cycle times, including considerations for acceleration and deceleration.

(b) Determine the throughput rate for the system.