Terminology
Please show your work on all problems.
Terminology
Station = work station
Machine = resources
Capacity = number of units you can produce per time period
Process time = raw process time (RPT)
1. A station has a processing time of 30 minutes. What is the capacity of the station?
60/30 = 2 per hour
2. A station has a processing time of 12 minutes. What is the capacity of the station?
60/12 = 5 per hour
3. A station has a processing time of 45 minutes. What is the capacity of the station?
60/45 = 1.33 per hour
4. A station has a processing time of 8 hours. What is the capacity of the station?
? = .125 per hour
5. A station has 2 machines that can each process one unit per hour. What is the capacity of the station?
2+1 = 2 per hour
6. A station has a RPT of 60 minutes. If there are two machines, what is the capacity of the station?
60/2= 30 minutes per station
7. A station has 6 machines that can each process 4 units per hour. What is the capacity of the station?
6*4 = 24 units per hour
8. A station has an RPT of 15 minutes. If there are 6 machines, what is the capacity of the station?
9. A station has three machines. Each machine has a process time of 20 minutes. What is the capacity of the station?
3*(60/20) = 9 per hour
10. The processing time at a station is 30 minutes. There are 4 resources at this station. What is the capacity of the station?
4*(60/30 = 8 per hour
11. A machine can process a unit in 4 hours. If there are 10 machines, what is the capacity of the station?
(ΒΌ)*10 = 2.5 per hour
12. A station has 20 machines. Each machine has an RPT of 3 minutes. What is the capacity of the station?
(?)*20=6.67 minutes
13. A line has two stations: A and B. Station A has a process time of 2 hours and station B has a process time of 3 hours. What is the capacity of each station? Which is the bottleneck? What is the capacity of the line?
14. There are three stations: A, B, C. Station A has a processing time of 4 hours and has 8 machines. Station B has a processing time of 1.5 hours and has 2 machines. Station C has a processing time of 7 hours and has 15 machines. What is the capacity of each station? Which is the bottleneck? What is the capacity of the line?
15. There are 4 stations: A, B, C, and D with processing times of 10 min, 12 min, 15 min, and 30 min respectively. There are 2 resources at station A, 2 at station B, 3 at station C, and 6 at station D. What is the capacity of each station? Which is the bottleneck? What is the capacity of the line?
16. There are 5 stations on a line: A, B, C, D and E with process times of 30 minutes, 1 hour, 2 hours, 4 hours, and 8 hours respectively. There are 2 machines at station A, 5 at station B, 8 at station C, 15 at station D, and 31 at station E. What is the capacity of each station? Which is the bottleneck? What is the capacity of the line?
17. A station has a process time of 15 minutes. A full 25% of the units produced at this station are defective. What is the capacity of the station in terms of usable units?
18. A bottleneck station has a process time of 2 hours. This station is starved 20% of the time. What is the capacity of this station in terms of actual productivity?
19. A bottleneck station has a process time of 3 minutes. This station is blocked 10% of the time. What is the capacity of this station in terms of actual productivity?
20. There are 4 stations on a line: A, B, C, D with process times of 2 min, 3 min, 5 min, and 6 min respectively. Station A is having serious quality issues and 25% of the units produced are defective and cannot be used. Station B is only 90% productive because 10% of the units going through this step are lost; the worker at this station is being investigated for theft. At station C there are no current issues. Station D is experiencing a 5% scrap rate. What would the capacity of each station be if there were no issues? What is the capacity of each station in terms of actual productivity? Where is the bottleneck? What is the capacity of the line?