Question: Purchasing requests arrive to an agent at a rate of six per day. The time between arrivals is exponentially distributed. The agent typically requires 1

Purchasing requests arrive to an agent at a rate of six per day. The time between arrivals is exponentially distributed. The agent typically requires 1 hour to process a request. The processing time is also exponentially distributed. Assuming 8-hour working days:

a. What is the cycle time (the average time that a request spends in the process)?

b. What is the work-in-process inventory (the average number of requests in the process)?

c. How often is the WIP entirely replaced with a new set of requests?

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