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Problem 6-6

Twelve tasks, with times and precedence requirements as shown in the following table, are to be assigned to workstations that have a fixed machine cycle time of 1.5 minutes. Two heuristic rules will be tried: (1) greatest positional weight, and (2) greatest number of following tasks.
In each case, the tiebreaker will be shortest task time.


Task Length
a 0.1
b 0.2 a
c 0.9 b
d 0.6 c
e 0.1
f 0.2 d, e
g 0.4 f
h 0.1 g
i 0.2 h
j 0.7 i
k 0.3 j
l 0.2 k


b. Assign tasks to stations under each of the two rules.


(1) greatest positional weight (shortest task time as tiebreaker)


Work Station Tasks


(2) greatest number of following tasks (shortest task time as tiebreaker)


Work Station Tasks


c. Compute the percentage of idle time for each rule. (Round your answer to 2 decimal places. Omit the “%” sign in your response.)


  Percentage of idle time [removed] %


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