HW01_key-Sp10

# HW01_key-Sp10 - Key MGMT36100:HW01 Question 1 40Points...

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HW01_key Sp10.docx Page 1 MGMT 36100: HW 01 40 Points Due: January 27, 2010 Question 1: A four-stage process consists of the following: machines B1 and B2 in parallel at stage 1, machine M1 at stage 2, then a buffer (F1), then machine D1 at stage 3 followed by machines G1 and G2 in parallel at stage 4. Processing times are (in minutes): B1: 9, B2: 9, M1: 6, D1: 5, G1: 8 and G2: 12. (a) Draw a neat process flow diagram. (b) What is the minimum TPT ? 9 + 6 +5 + 8 = 28 minutes (c) What is the hourly capacity for each stage (round off to 2 decimal places)? Stage 1: 60 [min /hour] / 9 [min/unit] + 60 [min /hour] / 9 [min/unit] = 13.33 [units/hr] Stage 2: 60 / 6 = 10 [units/hr] Stage 3: 60 / 5 = 12 [units/hr] Stage 4: 60 [min /hour]/ 8 [min/unit] + 60 [min /hour] / 12 [min/unit] = 12.5 [units/hr] (d) Identify the bottleneck stage and the process capacity . Stage 2. 10 [units/hr] (e) Suppose you can add only one machine in parallel at the bottleneck stage. A machine with higher capacity costs more. You want to buy the least expensive machine. What should be the design cycle time for the new machine so that you increase the process capacity as much as possible ? We should increase the capacity of stage 2 from 10 to 12 [units/hr]. Thus, this additional machine needs to produce 2 [units/hr] or it should have the design CT = 30 [min /unit]. Parts (f), (g) and (h) are based on the schedule described in part (f). (f) Odd numbered jobs are released to B1 starting at time 0 every 12 minutes. Even numbered jobs are released to B2 starting at time 6 every 12 minutes. At stage 4, odd numbered jobs are scheduled on G1 and even numbered jobs are scheduled on G2. Plot jobs J2, J3, J4, J5 and J6 . 0 4 8 12 16 20 24 28 32 36 40 44 48 Notice that for this schedule, we do not need the buffer. (g)

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HW01_key-Sp10 - Key MGMT36100:HW01 Question 1 40Points...

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