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Consider the following tasks that must be assigned to four workers on a conveyor

ID: 343061 • Letter: C

Question

Consider the following tasks that must be assigned to four workers on a conveyor-paced assembly line (i.e., a machinepaced line flow). Each worker must perform at least one task.

Time to Complete Task (seconds):

Task 1:  27

Task 2: 25

Task 3:  15

Task 4: 21

Task 5: 15

Task 6: 20

Task 7: 54

Task 8:  15

Task 9: 20

Task 10:25

Task 11: 15

Task 12: 20

The current conveyor--paced assembly-line configuration assigns the workers in the following way:

• Worker 1: Tasks1, 2, 3

• Worker 2: Tasks 4, 5, 6

• Worker 3: Tasks 7, 8, 9

• Worker 4:  Tasks 10, 11, 12

Assume a demand rate of 19 units per minute. What would be the target manpower?

Explanation / Answer

Let us call :

Tasks 1, 2 and 3 as workstation 1 managed by worker 1

Tasks 4, 5 and 6 as workstation 2 managed by worker 2

Tasks 7,8 and 9 as workstation 3 managed by workers 3

Tasks 10,11 and 12 as workstation 4 managed by worker 4

Throughput time of workstation 1 = 27 + 25 + 15 = 67 seconds

Throughput time of workstation 2 = 21 + 15 + 20 = 56 seconds

Throughput time of workstation 3 = 54 + 15 + 20 = 89 seconds

Throughput time of workstation 4 = 25 + 15 + 20 = 60 seconds

Thus , bottleneck workstation will be workstation 3 and that will decide the cycle time of the whole conveyor line.

Thus cycle time of conveyor line under current arrangement = 89 seconds

However, required demand rate = 19 units/ minute

Or, required cycle time = 60 seconds / 19 units = 60/19 seconds per unit

The target manpower for any workstation will be

= Current throughput time/ Required cycle time ( rounded to higher whole number )

Target manpower for workstation 1 = 67/ (60/19) = 21.21 ( 22 rounded to next higher whole number)

Target manpower for workstation 2 = 56/ ( 60/19) = 17.73 ( 18 rounded to nearest whole number)

Target manpower for workstation 3 = 89/ ( 60/19) = 28.18 ( 29 rounded to nearest whole number )

Target manpower for workstation 4 = 60 / ( 60/19) = 19

Cumulative target manpower

= Sum of target manpower in 4 workstations

= 22 + 18 + 29 + 19

= 88

TARGET MANPOWER = 88 workers

TARGET MANPOWER = 88 workers