As Patrick Sportwear Co. completes plans for its new assembly line in Liverpool, it identifies 30 different tasks in the production process. VP of Operations Kevin Keegan now faces the job of balancing the line. He lists precedences and provides time estimates for each step based on work-sampling techniques. His goal is to produce 1.000 football shoes per standard 35-hour workweek.
i got a question and i have answered is already half of it i need help with the rest:
As Patrick Sportwear Co. completes plans for its new assembly line in Liverpool, it identifies 30 different tasks in the production process. VP of Operations Kevin Keegan now faces the job of balancing the line. He lists precedences and provides time estimates for each step based on work-sampling techniques.
His goal is to produce 1.000 football shoes per standard 35-hour workweek.
|
Task |
Time (sec) |
Immediate Predecessors |
Task |
Time (sec) |
Immediate Predecessors |
|
B1 |
50 |
- |
E2 |
18 |
G5, F3 |
|
K4 |
24 |
B1 |
A4 |
10 |
E1 |
|
K9 |
27 |
B1 |
E3 |
109 |
F3 |
|
J1 |
66 |
B1 |
D6 |
53 |
F4 |
|
C2 |
12 |
- |
D7 |
72 |
F9, E2, E3, K9 |
|
J2 |
22 |
B1 |
C1 |
78 |
F7, A4 |
|
J3 |
3 |
C2 |
D8 |
78 |
E3, D6 |
|
D5 |
6 |
- |
D9 |
37 |
D6, A4 |
|
G4 |
79 |
K4, K9 |
C3 |
40 |
F9, D7 |
|
G5 |
29 |
K9, J1 |
B3 |
72 |
D7, D8, D9, C1 |
|
F3 |
32 |
J2 |
B5 |
108 |
C1 |
|
F4 |
92 |
J2 |
A1 |
52 |
B5 |
|
F7 |
21 |
J3 |
B7 |
18 |
A1, B3, C3 |
|
E1 |
20 |
C2 |
A2 |
72 |
B5 |
|
F9 |
126 |
G4, K4 |
A3 |
114 |
B7, A1, A2, D5 |
1A. Balance this operation using the shortest operation time rule and compute the efficiency of the line.
this one i answered its in the picture with the precedence diagram: please check the picture for precedence diagram.
Here is my working out:
CT = Cycle time:
CT: 35hrs/1000
CT: 35*60*60(seconds)/1000
CT: 126000/1000
CT = 126 seconds
N-min: theoretical minimum number of stations
Mt: sum of tasks:
N-min: sum of all task times/126
N-min: 1540/126
N-min: 12.22
N-min = 13
then i created a worksation to see how many are needed.
|
Work Station |
Eligible Task(s) |
Assign Task |
Task Time |
Time Remaining |
|
|
B1,C2,D5 |
|
|
|
|
1 |
B1,C2 |
D5 |
6 |
|
|
|
B1,J3,E1 |
C2 |
12 |
|
|
|
B1,E1,F7 |
J3 |
3 |
|
|
|
B1,F7,A4 |
E1 |
20 |
|
|
|
B1,F7 |
A4 |
10 |
|
|
|
B1,C1 |
F7 |
21 |
|
|
|
C1,K4,K9,J1,J2 |
B1 |
50 |
|
|
2 |
C1,K4,K9,J1,F3,F4 |
J2 |
22 |
|
|
|
C1,K9,J1,F3,F4 |
K4 |
24 |
|
|
|
C1,J3,F3,F4,G4 |
K9 |
27 |
|
|
|
C1,J1,F4,G4,E3 |
F3 |
32 |
12 |
|
3 |
C1,F4,G4,E3,G5 |
J1 |
66 |
|
|
|
C1,F4,G4,E3,E2 |
G5 |
29 |
|
|
|
C1,F4,G4,E3 |
E2 |
18 |
|
|
4 |
F4,G4,E3,B5 |
C1 |
78 |
|
|
5 |
F4,E3,B5,F9 |
G4 |
79 |
|
|
6 |
E3,B5,F9,D6 |
F4 |
92 |
|
|
7 |
E3,B5,F9,D9 |
D6 |
53 |
|
|
|
E3,B5,F9 |
D9 |
37 |
|
|
8 |
E3,F9,A1,A2 |
B5 |
108 |
|
|
9 |
E3,F9,A2 |
A1 |
52 |
|
|
|
E3,F9 |
A2 |
72 |
|
|
10 |
F9,D8 |
E3 |
109 |
|
|
11 |
F9 |
D8 |
78 |
|
|
12 |
D7 |
F9 |
126 |
|
|
13 |
C3,B3 |
D7 |
72 |
|
|
|
B3 |
C3 |
40 |
|
|
14 |
B7 |
B3 |
72 |
|
|
|
A3 |
B7 |
18 |
|
|
15 |
|
A3 |
114 |
|
i dont know if the above information for workstation and precedence diagram are 100% correct but this was given to me by Bartleby.
HERE ARE THE QUESTION NOW;
1A) Identify the efficiency of the operation's balance and explain/justify your answer
1B) Explain the process followed, observe and criticise your answer.
1C. Explore if this balance could be improved (7%).
ANSWER:
Select any heuristic you want (or two heuristics in case your first heuristic can not be applied) and repeat the Second, Third and Fourth step of 1A (see above), using the same tables.
1D Discuss if is it possible to improve this balance to 100%?
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