= The table below defines the precedence relationships and element times for a new model toy. (a) Construct the precedence diagram for this job. (b) If the ideal cycle time 1.1 min. repositioning time = 0.1 min, and uptime proportion is assumed to be 1.0, what is the theo- retical minimum number of workstations required to minimize the balance delay under the assumption that there will be one worker per station? (c) Use the largest candidate rule to assign work elements to stations. (d) Compute the balance delay for your solution.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
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The table below defines the precedence relationships and element times for a new model
toy. (a) Construct the precedence diagram for this job. (b) If the ideal cycle time = 1.1 min.
repositioning time = 0.1 min, and uptime proportion is assumed to be 1.0, what is the theo-
retical minimum number of workstations required to minimize the balance delay under the
assumption that there will be one worker per station? (c) Use the largest candidate rule to
assign work elements to stations. (d) Compute the balance delay for your solution.
Work Element
1
23456789
10
Te (min)
0.5
0.3
0.8
0.2
0.1
0.6
0.4
0.5
0.3
0.6
Immediate
Predecessors
1
1
2
2
3
4,5
3,5
7,8
6,9
Transcribed Image Text:The table below defines the precedence relationships and element times for a new model toy. (a) Construct the precedence diagram for this job. (b) If the ideal cycle time = 1.1 min. repositioning time = 0.1 min, and uptime proportion is assumed to be 1.0, what is the theo- retical minimum number of workstations required to minimize the balance delay under the assumption that there will be one worker per station? (c) Use the largest candidate rule to assign work elements to stations. (d) Compute the balance delay for your solution. Work Element 1 23456789 10 Te (min) 0.5 0.3 0.8 0.2 0.1 0.6 0.4 0.5 0.3 0.6 Immediate Predecessors 1 1 2 2 3 4,5 3,5 7,8 6,9
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