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Suppose a workstation receives parts automatically from a conveyor. An accumulation line has been...

Suppose a workstation receives parts automatically from a conveyor. An accumulation line has been provided at the workstation and has a storage capacity for 5 parts (N=6). Parts arrive randomly at the switching junction for the workstation; if the accumulation line is full, parts are diverted to another workstation. Parts arrive at a Poisson rate of 1 per minute; service time at the workstation is exponentially distributed with a mean of 45 seconds.

a. What is the rate at which parts enter the system?

b. Find the average number of parts in the accumulation line.

c. Suppose the production manager desires that no more than 2% of the arriving packages be diverted, how long should the accumulation line be>


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