Question: Orders are received for one of four types of parts. The interarrival time between orders is exponentially distributed with a mean of 10 minutes. The table that follows shows the proportion of the parts by type and the time to fill each type of order by the single clerk.
Part Type Percentage Service Time (Minutes)
A 40 N(6.1, 1.3)
B 30 N(9.1, 2.9)
C 20 N(11.8, 4.1)
D 10 N(15.1, 4.5)
Orders of types A and B are picked up immediately after they are filled, but orders of types C and D must wait 10 ± 5 minutes to be picked up. Tabulate the distribution of time to complete delivery for all orders combined. What proportion take less than 15 minutes? What proportion take less than 25 minutes? Simulate for an 8-hour initialization period, followed by a 40-hour ron. Do not use any data collected in the 8-hour initialization period.