A cafeteria serving line has a coffee urn from which customers serve themselves.
ID: 368693 • Letter: A
Question
A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 4.0 per minute. In serving themselves, customers take about 12 seconds, exponentially distributed.
e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 12 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Average no of customers
f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 12 seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Expected time minute(s)
Explanation / Answer
Type B Comment Arrival rate A 240.00000 4*60 Service rate S 300.00000 3600/12 Utilization ratio U=A/S 0.80000Related Questions
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