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3 4 5 6 7 8 10 9 11 6 2 5 7 1 2 6 3 5 4 5 Station 1 Minutes per Unit 6 Station 2 7 Station 3 3 Assembly Lines Balancing Concepts Question: Suppose you load work into the three work stations below such that each will take the corresponding number of minutes as shown. What is the cycle time of this line? Answer: The cycle time of the line is always determined by the work station taking the longest time. In this problem, the cycle time of the line is 7 minutes. There is also going to be idle time at the other two work stations. Example of Line Balancing ? You’ve just been assigned the job a setting up an electric fan assembly line with the following tasks: T a s k T i m e ( M i ns ) De s c r i pti o n P r e de c e s s o r sA 2 As s e m b l e f r a m e No n eB 1 Mo u n t s w i t c h AC 3 . 2 5 As s e m b l e m o t o r h o u s i n g No n eD 1 . 2 Mo u n t m o t o r h o u s i n g i n f r a m e A, CE 0 . 5 At t a c h b l a d e DF 1 As s e m b l e a n d a t t a c h s a f e t y g r i l l EG 1 At t a c h c o r d BH 1 . 4 T e s t F, GExample of Line Balancing: Structuring the Precedence Diagram Task Predecessors A None A B A B C None C D A, C D Task Predecessors E D E F E F G B G H E, G H Example of Line Balancing: Precedence Diagram A C B D E F G H 2 1 .5 1 1 Question: Which process step defines the maximum rate of production? Answer: Task C is the cycle time of the line and therefore, the maximum rate of production. Example of Line Balancing: Determine Cycle Time R e q u i r e d C y c l e T i m e , C = P r o d u c t i o n t i m e p e r p e r i o dR e q u i r e d o u t p u t p e r p e r i o dC = 4 2 0 m i n s / d a y1 0 0 u n i t s / d a y = 4 . 2 m i n s / u n i tQuestion: Suppose we want to assemble 100 fans per day. What would our cycle time have to be? Answer: Example of Line Balancing: Determine Theoretical Minimum Number of Workstations Question: What is the theoretical minimum number of workstations for this problem? Answer: T h e o r e t i c a l M i n . N u m b e r o f Wo r k s t a t i o n s , NN = S u m o f t a s k t i m e s ( T )C y c l e t i m e ( C )ttN = 1 1 . 3 5 m i n s / u n i t4 . 2 m i n s / u n i t = 2 . 7 0 2 , o r 3tExample of Line Balancing: Rules To Follow for Loading Workstations ? Primary: Assign tasks in order of the largest number of following tasks. ? Secondary (tiebreaking): Assign tasks in order of the longest operating time A C B D E F G H 2 1 .5 1 1 Station 1 Station 2 Station 3 Task Followers Time (Mins) A 6 2 C 4 D 3 B 2 1 E 2 F 1 1 G 1 1 H 0 A C B D E F G H 2 1 .5 1 1 Station 1 Station 2 Station 3 A (=) Task Followers Time (Mins) A 6 2 C 4 D 3 B 2 1 E 2 F 1 1 G 1 1 H 0 A C B D E F G H 2 1 .5 1 1 A (=) B (=) Task Followers Time (Mins) A 6 2 C 4 D 3 B 2 1 E 2 F 1 1 G 1 1 H 0 Station 1 Station 2 Station 3 A C B D E F G H 2 1 .5 1 1 A (=) B (=) G (= .2) Idle= .2 Task Followers Time (Mins) A 6 2 C 4