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. n each case, the tiebreaker will be shortest task time. Task 10 DUT 46.0 KH b C d e f h i j k 1 Length (minutes) 0.1 0.2 0.9 0.6 0.1 0.2 0.4 0.1 0.2 0.7 0.3 0.2 Work Station I II III Immediate Predecessor 110 DUI Work Station I a b с d, e 46.0 f h o. Assign tasks to stations under each of the two rules. 1) greatest positional weight (shortest task time as tiebreaker) i j Tasks (Click to select) (Click to select) ▼ (Click to select) ▼ 2) greatest number of following tasks (shortest task time as tiebreaker) Tasks (Click to select)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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
a
b
C
d
e
f
g
h
i
i
k
1
Length
(minutes)
0.1
0.2
0.9
0.6
0.1
0.2
0.4
0.1
0.2
0.7
0.3
0.2
Work Station
I
II
III
Immediate
Predecessor
a
Work Station
I
II
III
b
с
d, e
f
g
h
i
b. Assign tasks to stations under each of the two rules.
(1) greatest positional weight (shortest task time as tiebreaker)
j
k
Tasks
(Click to select) ▼
(Click to select) ▼
(Click to select)
(2) greatest number of following tasks (shortest task time as tiebreaker)
Tasks
(Click to select) ▼
(Click to select) ▼
(Click to select) ▼
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
%
Transcribed Image Text: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 a b C d e f g h i i k 1 Length (minutes) 0.1 0.2 0.9 0.6 0.1 0.2 0.4 0.1 0.2 0.7 0.3 0.2 Work Station I II III Immediate Predecessor a Work Station I II III b с d, e f g h i b. Assign tasks to stations under each of the two rules. (1) greatest positional weight (shortest task time as tiebreaker) j k Tasks (Click to select) ▼ (Click to select) ▼ (Click to select) (2) greatest number of following tasks (shortest task time as tiebreaker) Tasks (Click to select) ▼ (Click to select) ▼ (Click to select) ▼ 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 %
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