Consider an AS$/$RS in which an S$/$R machine is used for each aisle.

The length of the storage aisle is $280$ ft and its height $46$ft$.$

Suppose horizontal and vertical speeds of the S$/$R machine are

$200$ ft$/$min and $75$ ft$/$min respectively. The S$/$R machine requires

$20$sec$.$ to accomplish a P&D operation.

a$)$ Find the single and dual command cycle times per aisle

b$)$ Throughput per aisle under the assumptions that storage system

utilization $=90\%,$ and the number of single command and dual

command cycles are equal