Question

Francis Johnsons plant needs to design an efficient assembly line to make a new product. The assembly line needs to produce 12 units per hour, and there is room for only five workstations. The tasks and the order in which they must be performed are shown in the following table. Tasks cannot be split, and it would be too expensive to duplicate any task. TASK TIME IMMEDIATE TASK (MINUTES) PREDECESSOR 2.5 2.0 2.0 3.0 3.0 3.0 3.0 A,B, C b. What is the workstation cycle time required to produce 12 units per hour? (Round your answer to 1 decimal place.) Workstation cycle time d. Balance the line to use the fewest possible workstations to meet the cycle time found in part b. Use whatever method you feel is appropriate. What is the efficiency of your line balance, assuming the line minutes operates at the cycle time from part b? (Round your answer to 1 decimal place.) Efficiency

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Answer #1

b) Workstation cycle time = Available time/ Demand rate = 60 minutes / 12 units = 5 minutes

d) Precedence diagram Available time Desired output Workstation Cycle Time 60 12 5.00 seconds units seconds b) Available Time /Desired output or Demand rate Total Task Time Theoretical min # of w/s - Total Task time /Cycle Time 18.50 seconds rounded up d) Assignment of tasks Work- Eligible Task Task TimePredeces Assigned Task Cumulative Idle Task Time 2.50 2.00 2.00 3.00 3.00 3.00 3.00 Time 2.50 4.50 2.00 5.00 3.00 3.00 3.00 seconds sor station Time A,B,C 2.50 2.00 2.00 3.00 3.00 3.00 3.00 B,C D,E F,G 0.50 A,B,C 2.00 2.00 2.00 6.50 Tota18.50 End Total Idle Time Actual Cycle time Proposed # of w/s Lead time (seconds) Efficiency of assembly line 18.5/25 - Total Task Time/Lead Time E 5.0 25.0 Actual Cycle Time x number of stations 74.00%

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