$3$C$-1$a Non$-$linear process evaluation using Little's Law A

transportation company has a process where they are required to

check$-$in drivers upon their return from their route. They have

conducted a study and have determined that $80\%$ of their driver$$s

logs match their on$-$board computer equipment. The remaining $20\%$ of

the driver$$s logs do not match their on$-$board computer equipment

and a manual reconciliation process must be completed.Previously, the driver check$-$in process was completed on a

first$-$come first serve basis. This process took approximately $50$

minutes on average to complete.A new system was designed which separates the process into two

areas, one for routine driver check$-$ins and another for driver

check$-$ins which must have a manual reconciliation completed. The

driver check$-$in process consists of the driver arriving back at the

terminal and waiting to see a clerk who completes the initial

inspection to determine if the driver$$s logs match the on$-$board

computer equipment. The clerk then routes the drivers to

appropriate dispatchers to complete the check$-$in process.On average $30$ drivers $/$ hour enter the driver check$-$in process.

Assume the process is stable.The clerk inspection takes on average $2$ minutes, the routine

inspection takes on average $15$ minutes, and the manual

reconciliation takes on average $45$ minutes.There are on average $5$ drivers waiting for the clerk

inspection,$2$ drivers waiting for the routine check$-$in process and$2$ drivers waiting for the manual check$-$in process.$---->$ Buffer $1------->$ clerk $--------->$ buffer $2$

$-------->$ dispatch routine $$

$$

$$

$$

$$

$$

$$

$$

$---------->$ buffer $3------------>$ dispatch

manual$$InventoryThroughputThroughputFlow TimeDriversDrivers $/$ hrDrivers $/$ minminutesBuffer $1$ClerkBuffer $2$RoutineBuffer $3$Manual ReconciliationTotalsBased on the above information, complete this table.