Solving the model, we get the following nonzero values for the assignment variable X:

           Variable           Value

           X( A, 2)        1.000000

           X( B, 3)        1.000000

           X( C, 4)        1.000000

           X( D, 1)        1.000000

           X( E, 3)        1.000000

           X( F, 4)        1.000000

           X( G, 4)        1.000000

           X( H, 3)        1.000000

           X( I, 3)        1.000000

           X( J, 4)        1.000000

           X( K, 4)        1.000000

Solution: ASLBAL

Summarizing this solution, we have:

Workstation

Assigned Tasks

Cycle Time

1

D

50

2

A

45

3

B, E, H, I

50

4

C, F, G, J, K

50

The cycle time for the entire line is 50 minutes--the maximum of the cycle times across all the workstations. We have a well balanced line in that only workstation 2 has slack time totaling 5 minutes.