A facility is setting up an assembly line to produce 75 units per day, working 24 hours per day. Calculate the desired cycle time in minutes per unit.

Task Time (Min) Predecessors
A 4 -
B 3 -
C 5 A
D 5 A,B
E 3 C,D

Solution :

Given :

The production output per day = 75 units

Production time per day = 24 hours

Therefore, the cycle time is

                =    [tex]$\frac{\text{production time per day}}{\text{outpu}t \text{ per day} }$[/tex]

               [tex]$=\frac{24 \times 60}{75}$[/tex]

              = 19.2 mins

              ≈ 20 minutes

The desired cycle time = 15 minutes per unit

Given the task times of A to E from the table.

Sum of the task times (A to E) = 4 + 3 + 5 + 5 + 3

                                                  = 20 minutes

Number of workstations needed = (sun of total task times) / (cycle time)

                                                      [tex]$=\frac{20}{15}$[/tex]

                                                      = 1.33

                                                      ≈ 2 work stations

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