A company is producing a batch of five parts A, O, E, N and L using three machines X, W, M. All these parts are to be produced in the technological order X. M. W machines. The sum of the processing and set-up times, in minutes for these parts in each of these machines is given below
|
Part
|
Time on Machine, Minute
|
|
|
X
|
W
|
M
|
|
N
|
8
|
5
|
3
|
|
A
|
4
|
6
|
4
|
|
O
|
7
|
7
|
3
|
|
L
|
5
|
8
|
4
|
|
E
|
6
|
3
|
4
|
(i) Find the sequence in which parts to be produced to minimize total make span.
(ii) Are there alternative sequences?
(iii) Represent your schedule in the form of a Gantt chart with starting and ending timings. Neglect machine to machine shifting time.
(iv) What are the machine utilization percentages for each machine if no other job is taken till the completion of this batch?