Develop a solution for the following line balancing problem, allowing a cycle time of 5 minutes
a. Draw the precedence diagram for the set of tasks.
b. Calculate the theoretical minimum number of workstations.
c. Balance this line using the longest task time heuristic.
d. What tasks are assigned to which stations?
e. Does the solution have the minimum number of stations? Explain.
f. How much idle time is there, summed over all workstations?
g. What is the efficiency of this line?
Work Task Task Time (seconds) Task Predecessor(s)
A 70 -
B 60 A
C 120 B
D 60 -
E 240 C, D
F 100 A
G 190 E, F
The theoretical minimum number of workstations is 3. Balance places ABDF in station 1, C in station 2, E in station 3, and G in station 4. The solution uses four stations, not three. The POM for Windows solution is shown below. Idle time is distributed 10, 180, 60, and 110 per station. There are 360 seconds of idle time in the system. Efficiency is 70.0%.
Station Task Time (seconds) Time left (seconds) Ready tasks
A,D
1 A 70. 230. D,B,F
F 100. 130. D,B
D 60. 70. B
B 60. 10. C
2 C 120. 180. E
3 E 240. 60. G
4 G 190. 110.
Summary Statistics
Cycle time 300 seconds
Time allocated (cycle time * #) 1200 seconds/cycle
Time needed (sum of task times) 840 seconds/unit
Idle time (allocated-needed) 360 seconds/cycle
Efficiency (needed/allocated) 70%
Balance Delay (1-efficiency) 30%
Min (theoretical) # of stations 3
You might also like to view...
Professional buyers often learn to use specific tactics in dealing with salespeople. List three tactics that were identified in Homer Smith's book, Selling Through Negotiation
What will be an ideal response?
William Aitchisonhad a first mortgage on his house of $300,000 with Bank A, a second mortgage of $200,000 with Bank B, and a third mortgage of $100,000 with Bank C. All of these mortgages were registered and in that order
Arthur missed his mortgage payments to Bank C. Which of the following statements is TRUE? A) No bank alone can force the sale of the house B) If the house is sold, Bank A must be paid in full before any other bank receives any money C) If Bank C forces the sale of the house, Bank C will get its $100,000 before any other bank receives any money D) If the house is sold Bank A will get 50% of the proceeds of the sale E) If the house is sold Bank C will get 33% of the proceeds of the sale
Annette lives in Texas, and has a PAP with the minimum limits of liability required by law in this state, which are 20/40/15. She drives to Alaska, where the minimum limits of liability are 50/100/25. While in Alaska, she cause an accident
What is the most that her PAP will pay for the damages she caused others to suffer? A) 20/40/15 B) 15/30/10 C) 50/100/25 D) 70/140/40
By the use of laws and the legal system, the government can:
a. change acceptable behavior b. instruct people on what is allowed in certain circumstances c. encourage certain types of business activity d. impose sanctions to try to eliminate certain business activities e. all of the other choices are included