Line balancing solution sheet problem 1 supplement a

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Line Balancing Solution Sheet Problem #1 Supplement a) Assign Task by <SPT> Heuristics Given: Cycle-Time = 54 Number of Work Station = 6 Total Slack Time = (7+4+3+19+19+16)=68 Efficiency= Total Time – Total Slack Time)/Time= (6*54-68)/ (6*54)= 256/324 ~ 79% A A 32 22 B, C, D C 15 7 B, D B, G B, H, I D H G 22 20 12 16 3 4 B, I B B, J (E, F) E, F (F) F I B E F J 31 23 20 3 35 35 38 19 19 16 1 2 3 4 5 6 Workstation Task Available Task Assigned Task Time Time Remaining
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Line Balancing Solution Sheet Problem #1 Supplement a) Assign Task by <SPT> Heuristics Given: Cycle-Time = 54 Work Station Task Available Task Assigned Task Time Time Remaining 1 A B,C,D A C 32 15 22 7 2 B,D B,G B,H,I D G H 22 12 16 32 20 4 3 B,I B,J I J 31 20 23 3 4 B (E,F) B 35 19 5 E,F (F) E 35 19 6 F F 38 16 Number of Work Station = 6 Total Slack Time = (7+4+3+19+19+16)=68 Efficiency= Total Time – Total Slack Time)/Time= (6*54-68)/ (6*54)= 256/324 ~ 79%
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Problem #1 Supplement a) Assign Task by <LPT> Heuristics Given: Cycle-Time = 54 Number of Work Station = 5 Total Slack Time = (0+4+4+3+3)=14 Efficiency= Total Time – Total Slack Time)/Time= (5*54-14)/ (5*54)= 256/270 ~ 95% 0 4 4 3 3 Work Station Task Availability Tasks Assigned Task Time Time Remaining 1 A B, C, D A D 32 22 22 2 B, C, D B E, F, C, G C 35 15 19 3 4 5 E, F, G F E, G G 38 12 16 E, H, I E H, I H 35 16 19 I I J J 31 20 23
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Problem #1 Supplement a) Assign Task by <LPT> Heuristics Given: Cycle-Time = 54 Work Station Task Available Task Assigned Task Time Time Remaining 1 A B,C,D A D 32 22 22 0 2 B,C,G E,F,C,G B C 35 15 19 4 3 E,F,G E,G F G 38 12 16 4 4 E,H,I H,I E H 35 16 19 3 5 I J I J 31 20 23 3 Number of Work Station = 5 Total Slack Time = (0+4+4+3+3)=14 Efficiency= Total Time – Total Slack Time)/Time= (5*54-14)/ (5*54)= 256/270 ~ 95%
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Problem #2 Supplement Given: Production Rate = 300/8 = 37.5 unit/ hour Cycle Time = (1/37.5)*60*60= 96 sec Objectives: Minimize: (No. of WS) Procedure Diagram: A B C D E F G H I J K L M N 51 22 28 32 39 20 20 42 20 12 16 12 44 20
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Problem #2 Supplement Given: Production Rate = 300/8 = 37.5 unit/ hour Cycle Time = (1/37.5)*60*60= 96 sec Objectives: Minimize: (No. of WS) Procedure Diagram: A B C D E F G H I J K L M N 51 22 28 32 39 20 20 42 20 12 16 12 44 20
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Problem #2 Supplement a) Assign Task by <SPT> Heuristics Given Cycle Time: 96 Work Station Task Available Task Assigned Task Time Time Remaining 1 A B F 3 2 C G D H 0 3 E I J 3 4 L K M N 0 Number of Workstations = 4 Total Slack Time = 6 Efficiency = (Total Time – Total Slack Time)/ Total Time = 98.4%
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Problem #2 Supplement a) Assign Task by <LPT> Heuristics Given Cycle Time: 96 Work Station Task Available Task Assigned Task Time Time Remaining 1 A E 6 2 D C B I 2 3 F G J 14 4 L H K 16 5 M N 64 Number of Workstations = 5 Total Slack Time = 102 Efficiency = (Total Time – Total Slack Time)/ Total Time = 78%
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How to select line balancing heuristics For a specific problem—how to select? * random? * try all heuristics? Guidelines: 1.Job structure: 2. Task processing time distribution: Computer expert systems have been developed for line balancing problems
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Line balancing problem 1. Single-model line: only one product is processed on the line. All items are identical- no job sequencing issues.
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