Question

A part arrives every ten minutes to a system having three workstations (A, B, and C), where each workstation has a single machine; the first part arrives at time 0. There are four part types, each with equal probability of arriving. The process plans for the four part types are given below. The entries for the process times are the parameters for a triangular distribution (in minutes).

Part Type	workstation/ Process Time	workstation/ Process Time	workstation/ Process Time
Part 1	A 5.5,9.5,13.5	C 8.5,14.1,19.7
Part 2	A 8.9,13.5,18.1	B 9,15,21+a	C 4.3,8.5,12.7
Part 3	A 8.4,12,15.6+b	B 5.3,9.5,13.7
Part 4	B 9.3,12.6,16.0	C 8.6,11.4,14.2

Assume that the transfer time between arrival and the first station, between all stations, and between the last station and the system exit is “a” minutes. Use the Sequence feature to direct the parts through the system. Use the Sets feature to collect cycle times (total times in system) for each of the part types separately. Use the Expressions feature for determining the processing times (rather than assigning them in the Sequence data module).

1. Develop an Arena model (including the part transfers) and collect statistics on the average part cycle time, by completing the following diagram. (5 points)

Answer 1