In previous example, suppose that the vehicles operate according to the following scheduling rule in order to minimize the distances the vehicles travel empty: vehicles delivering raw work parts from station $1$ to stations $2,3,$ and $4$ must pick up finished parts at these respective stations for delivery to station $5.$

$($a$)$ Determine the empty travel distances associated with each delivery and develop a from$-$to chart in the format of Table

$($b$)$ The AGVs travel at a speed of $50\frac{m}{m}in,$ and the traffic factor $=0\mathrm{.}90.$ Assume reliability $=100\%.$ Determine the value of $Le.$

$($c$)$ How many automated guided vehicles will be required to ope the system?