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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 (minutes)	Immediate Predecessor
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
I
II
III

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

Work Station	Tasks
I
II
III

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] %

11 years ago
31.07.2015
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