The Average Length of Time That a Customer Waits in Line

question 81

Multiple Choice

The average length of time that a customer waits in line for service is $W ( x , y ) = \frac { 1 } { x - y } , x > y$ where $y$ is the average arrival rate, written as the number of customers per unit of time, and $x$ is the average service rate, written in the same units. Evaluate $W ( 18,6 ) .$ Note: $x$ and $y$ are given as the number of customers per hour.

• A) \(7 \mathrm {~min}\)
• B) \(5 \mathrm {~min}\)
• C) \(3 \mathrm {~min}\)
• D) \(4 \mathrm {~min}\)
• E) \(6 \mathrm {~min}\)

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Definitions:

Continuous

Uninterrupted in time, sequence, substance, or extent; without cessation or gaps.

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