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A Small Diner Has One Employee and a Counter with Seating

question 36

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A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed) .Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average number of customers waiting (average queue length) ?


Definitions:

Current Liabilities

Obligations a company is required to pay within one year or an operating cycle, whichever is longer.

Due

Referring to an obligation or payment that is expected to be paid or fulfilled by a certain date.

Paid

The status of a financial obligation that has been fulfilled, indicating that no debt remains.

Year

A period of time consisting of 365 days, or 366 in a leap year, used as a basic unit of time to measure durations and align calendars.

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