HW5 Q3 Task Task Task Task Task Task Time ID Time ID Time (Min) (Min) [Min] 1 0.18 7 0.38 13 0.48 In Line Balancing problems with a fixed Takt time, if any one Task is greater than the Takt 2 0.11 0.42 14 0.30 time, a common procedure is to either work overtime to meet Takt time requirements, or to 3 add one or more machines to reduce the average task time per unit. Both Gaither and Chase 0.32 9 0.30 15 0.39 have proposed a Line Balancing algorithm which automatically calculates the number of 4 0.45 10 0.18 machines required as part of the heuristic solution procedure. This method is called the 5 0.51 11 0.36 Incremental Utilization Heuristic or the IUH. This heuristic is appropriate when one or 6 0.55 12 0.42 more required task times cannot meet Takt time. The IUH proceeds as follows. Assume for simplicity that there is a single start task. Create the first Workstation with that task using a The following precedence relationships must be maintained. single machine. If the task time is greater than Takt time, add the required number of machines to that Workstation to make Workstation utilization less than one, add tasks to Task ID | Predecessor | Task ID | Predecessor |Task ID |Predecessor that workstation in order of precedence one at a time continuing to add machine capacity Tasks Tasks Tasks until Workstation utilization is equal to 100% or Utilization Decreases. When this happens, close out this Workstation; start a new one; and repeat the process until all tasks are assigned to workstations. Using the following set of data, use the IUH heuristic to 1 None 7 6 13 11,12 determine line balance, and how many Workstations and Machines are required. Calculate 2 1 8 7 14 13 both machine and line efficiency. Takt time is 0.10 Minutes. What is the minimum number 3 9 15 14 of machines required. 1 10 9 2,3,4 11 10 6 5 12 10