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7.2 A factory manufactures two products A and B on a flexible system during
15 hours every day for 5 days per week. The cycle time of part A is 9 minutes,
and that of B is 12 minutes. The switchover time from one product to the other is
20 minutes.
The customer requires shipping equal quantities of A and B once a day in
containers of 10 parts each (separate containers for part A and for B). Only full
containers with 10 parts are being shipped. A few parts may be stored overnight
for next day delivery.
(a) How many parts are shipped to the customer every week if the system
operates with n switchovers per day, where n ¼ 1, 2, 3, 4, and 5. Calculate the
lot sizes in each case.
(b) If the customer requires shipping parts twice a day (not neces sarily at certain
times), what is the recommended n?
(c) In emergency situations the customer unexpectedly requires shipping
containers of A and B every 4 hours. What is the recommended number
of daily switchovers (n) to satisfy this requirement?
7.3 Calculate the total number of tools in the tool magazines of all machines in the
three systems depicted in Figure 7.9, if each machine is capable of producing
both part A and part B. Which of three systems in Figure 7.9 is the most
economical in your opinion?
7.4 A part has to be machined on a single machine tool and you have to recommend a
cutting speed. If the cutting speed is higher, more parts are machined, but the
tool life deteriorates exponentially, as shown in the table below:
Cutting speed (m/minute) 150 240 300 480 600
Tool life (minute) 240 80 60 20 15
Time to machine one part 16 10 8 5 4
The tool-changing time of worn tools is on average 8 minutes.
The plant is working in two shifts, each of 8 hours, with 1-hour break between
shifts.
(a) Calculate the number of parts machined in 8 hours at each of the above
speeds (reme mber to include the tool changing time in your calculations).
(b) Calculate the number of tools needed in 8 hours at each speed.
(c) If tool-changing cost is not considered, of these five speeds, what is your
recommended cutting speed?
7.5 Assuming that two machines are needed to complete a part, a robot transfers
the semi-machined part from one machine to the next in 30 seconds
(see Figure 7.13). If identical cutting speeds are used on both machines, the
202 ECONOMICS OF SYSTEM DESIGN