In a job shop operation, four jobs may be performed on any of four machines. The number of hours required for each job on each machine is summarized in the table. Formulate a linear program to minimize the total time job-machine assignment.
|
Machine
|
Job
|
A
|
B
|
C
|
D
|
1
|
22
|
18
|
32
|
26
|
2
|
22
|
24
|
12
|
16
|
3
|
24
|
30
|
26
|
24
|
4
|
26
|
30
|
28
|
20
|