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Line Balancing . Example problem - Golf Club mfg/assy firm. Customer demand requires production volume of 24 finished clubs in an 8 hour shift. Example problem - Golf Club mfg/assy firm (cont.).

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## Line Balancing

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**Example problem - Golf Club mfg/assy firm**• Customer demand requires production volume of 24 finished clubs in an 8 hour shift**Example problem - Golf Club mfg/assy firm (cont.)**• How often does a club need to come off the line in order to meet the customer demand required? • Exclude initial start-up • Cycle time = (480 min/shift)/(24 clubs/shift) = 20 min/club • Takt time (for this example, same as cycle time as defined above) • Takt time = available work time/customer demand • Aligns output of a process with customer demand (or the pull of the customer) • “Takt” is a German word referring to the rhythm or beat of music • Theoretical minimum number of workstations for this operation • Total work content/cycle time • 44 min/20 min per workstation = 2.2 workstations → 3 workstations**LOT heuristic**• LOT – longest operation time heuristic • Construct precedence diagram • Arrange tasks in order of longest to shortest • Take care of longest operations first (easier to fit in shorter operations later), while maintaining precedence and not exceeding cycle time**Apply LOT to Golf Club mfg/assy firm**• Precedence diagram • Tasks in order of longest to shortest C – 13 min D – 9 min E – 7 min F – 6 min A – 5 min B – 4 min**Apply LOT to Golf Club mfg/assy firm (cont.)**• Efficiency of the line = (total work content)/(# of workstations x cycle time) = (44 min)/(3 workstations x 20 min/workstation) = 0.733 (73.3%) • Where is the bottleneck? • Capacity fully utilized • Work-in-process inventory builds up in front of workstation 2**Evaluate investment options for Golf Club mfg/assy firm**• Investment options • Invest in equipment that will automate weighting process (task C) resulting in a savings of 4 min/club • Invest in fixturing for the shaft that will result in a savings of 2 min each for trimming (task B) and finishing (task D) • Apply LOT rule to each option and see if there is any improvement in efficiency possible**Balancing another manufacturing line**• For a manufacturing line, the data below on the task precedence relationships exist (assume the tasks cannot be split)**Balancing another manufacturing line (cont.)**• Construct the precedence diagram for the tasks. • What is the theoretical minimum cycle time? • To balance the line to the cycle time determined above, what is the minimum number of work stations? • Use the "longest-operation-time" rule to balance the line to the theoretical minimum cycle time determined above. • Calculate the efficiency of the balanced line.

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