# precedence diagram

Topics: Harshad number, Ford Motor Company, Unix Pages: 2 (448 words) Published: October 27, 2014

Problem 8
The desired daily output for an assembly line is 360 units. This assembly line will operate 450 minutes per day. The following table contains information on this product’s task times and precedence relationships. TASK TASK TIME(SECONDS) IMMEDIATEPREDECESSOR

A 30 -
B 35 A
C 30 A
D 35 B
E 15 C
F 65 C
G 40 E,F
H 25 D,G
106878243848Draw a precedence diagram

What is the workstation cycle time (takt time)? C = Production time per day/Output per day =450 mins. x 60 seconds / 360 units per day = 27000 seconds/ 360 units C = 75 N=275/75=3.66 (4) Balance this line using the largest number of following tasks. Use the longest task time as a secondary criterion. Workstation (Takt=75) Task Task Time (in Seconds)

Station 1 A,C 60
Station 2 F 65
Station 3 B,E 50
Station 4 G,D 75
Station 5 H 25
What is the efficiency of your line balance? 275/(5)(75) = .73 or 73% Efficiency Problem 10
An assembly line is to be designed to operate 7.5 hours per day and supply a steady demand of 300 units per day. Here are the tasks and their performance times. TASK PRECEDING TASKS PERFORMANCE TIME (SECONDS

A - 70
B - 40
C - 45
D A 10
E B 30
F C 20
G D 60
H E 50
I F 15
J G 25
K H,I 20
L J,K 25
Draw the precedence diagram?
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Workstation(Takt = 90) Task Task Time
(in Seconds)
Station 1 A 70
Station 2 B,E 70
Station 3 C, F 65
Station 4 G,D 70
Station 5 H,I 65
Station 6 J,K,L 70
What is the workstation cycle time? C = Production time per day/Output per day= 450 mins x 60 seconds =27000 seconds/300 units = C = 90 What is the theoretical minimum number of workstations? 410/90 N = 4.55 (5) Assign tasks to workstations using the longest operating time. What is the efficiency of your line balance? 410/(6)(90)=.759 or 76% Efficiency Suppose demand increases by 10%. How would you react to this? Assume that you can operate only 7.5 hours per day. 12700042072[Type a quote from the document or the summary of...

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