Use the extended bottleneck model to solve Problem 16.2 with the following number of parts in the system: (a) N = 3 parts and (b) N = 6 parts. Also determine the manufacturing lead time for the two cases of N in (a) and (h).
Problem 16.2
Solve Problem 16.1 except the number of servers at station 2 (CNC milling machines) = 3 and the number of servers at station 3 (CNC drill presses) = 2. Note that with the increase in the number of machines from two to five, the FMC is now an FMS according to our definitions in Section 16.1.2.
Problem 16.1
A flexible manufacturing cell consists of two machining workstations plus a load/unload station. The load/unload station is station I. Station 2 performs milling operations and consists of one server (one CNC milling machine). Station 3 has one server that performs drilling (one CNC drill press). The three stations are connected by a part handling system that has one work carrier. The mean transport time is 2.5 min. The FMC produces three parts. A, B, and C. The part mix fractions and process routings for the three parts arc presented in the table below. The operation frequency fijk = 1.0 for all operations. Determine: (a) maximum production rate of the FMC, (b) corresponding production rates of each product, (c) utilization of each machine in the system, and (d) number of busy servers at each station.