Answered: As Patrick Sportwear Co. completes…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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%?