2 Machine flow

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The times required to complete each of eight jobs in a two-machine flow shop are shown in the table that follows. Each job must follow the same sequence, beginning with machine A and moving to machine B.



TIME (hours)

Job Machine A Machine B
a 16         5        
b 3         13        
c 9         6        
d 8         7        
e 2         14        
f 12         4        
g 18         14        
h 20         11        


a. Determine a sequence that will minimize makespan time.


  The sequence is .


b. Find machine B’s idle time.


  Idle time [removed] hrs  



For the sequence determined in part a, how much would machine B’s idle time be reduced by splitting the last two jobs in half?


  New idle time [removed] hrs, savings of [removed] hrs.


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