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?
Definitions:
Conditional Probability
The likelihood of an event or outcome occurring, given that another event has already occurred.
Given Event
An occurrence or outcome within a probability space that has a specified probability attached to it.
Independent Events
Two or more events whose outcomes do not affect each other, meaning the occurrence of one event does not change the probability of the other.
Probability
A measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 1 indicates certainty.
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