Regular jobs arrive at station A according to a Uniform [2,28] min inter-arrival time distribution. Rush
jobs arrive according to a Uniform [1,7] hour interarrival time distribution, and are given a higher
priority except at station C, where they are put on a conveyor and sent through a cleaning and
degreasing operations along with all other jobs. For jobs the first time through a station, processing
times are as follows.
Station Number of Machines /
Workers
Processing Time (min) Description
A 1 Uniform [10,14] Receiving clerk
B 3 Uniform [20,60] Disassembly and parts replacement
C 1 20 Degreaser
D 4 Uniform [10,90] Reassembly and adjustments
E 3 Uniform [35,45] Packing and shipping
The times listed above hold for all jobs that follow one of the two sequences 𝐴 → 𝐵 → 𝐶 → 𝐷 → 𝐸
or 𝐴 → 𝐵 → 𝐷 → 𝐸. However, about 10% of the jobs coming out of station D are sent back to B for
further work (which takes Uniform [20,40] min), and then sent to D and finally to E.
Station C breaks down at random times. The data shows that time between breakdowns follows an
Exponential distribution with mean 120 min. The repair process takes Uniform [9,11] min. When
Sample Solution