PA 5-5 Consider the following four-step assembly Consider the following four-ste
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Question
PA 5-5 Consider the following four-step assembly Consider the following four-step assembly operation with quality problems. Each resource is staffed by one employee Step The first resource has a processing time of 5 minutes per unit. 1: Step The second resource has a processing time of 6 minutes per unit 2: Step The third resource has a processing time of 3minutes per unit With a 30% probability the w unit com out 3: of the third resource has to be reworked. In that case, the operations at the first, second and third resources are repeated. You can assume that (a) rework always succeeds (le a unit going through the rework loop will units The fourth resource has a processing time of 4 minutes per unit always work after the third resource) and (b) the processing times for units in rewwork are the same as for regular Step a. Where in the process is the bottleneck? O Step 1 Step 2 O Step 3 Step 4 Round your answers to 2 decimal places.) b. What is the capacity of the process? good units per hourExplanation / Answer
Since probability of rework through process 1 , 2 and 3 after coming out of process 3 = 30%,
Thus for every n items passing through process 1 , 2 and 3 , 0.3.n items get reworked
Therefore,
Effective processing time at first resource including rework= 5 minutes x ( 1 + 0.3) = 1.3 x 5 = 6.5 minutes
Effective processing time at 2nd resource including rework = 6 minutes x ( 1 + 0.3) = 1.3 x 6 = 7.8 minutes
Effective processing time at 3rd resource including rework = 3 minutes x ( 1 + 0.3 ) = 3.9 minutes
Processing time of 4th unit ( no rework required ) = 4 minutes
Since, processing time at 2nd resource is highest, it is the process bottleneck
RESOURCE 2 IS THE PROCESS BOTTLENECK
Capacity of the process will be determined by capacity of the bottleneck process.
Effective processing time of the bottleneck process = 7.8 minutes
Therefore, Capacity of the process = 60 minutes/ 7.8 minutes = 7.692 units per hour
CAPACITY OF THE PROCESS = 7.692 GOOD UNITS PER HOUR
RESOURCE 2 IS THE PROCESS BOTTLENECK
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