A single server drive-thru facility has room for a maximum of 4 cars (the one being serviced and 3 in queue). Whenever the facility is full, newly arriving potential customers do not stay. Customers arrive in a Poisson manner at an average of 24 per hour. Service times are exponential with a mean of 3 minutes.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A single server drive-thru facility has room for a maximum of 4 cars (the one
being serviced and 3 in queue). Whenever the facility is full, newly arriving
potential customers do not stay. Customers arrive in a Poisson manner at
an average of 24 per hour. Service times are exponential with a mean of 3
minutes.
In a continuous 8 hour day, how long on average (per day) is the server idle?
Transcribed Image Text:A single server drive-thru facility has room for a maximum of 4 cars (the one being serviced and 3 in queue). Whenever the facility is full, newly arriving potential customers do not stay. Customers arrive in a Poisson manner at an average of 24 per hour. Service times are exponential with a mean of 3 minutes. In a continuous 8 hour day, how long on average (per day) is the server idle?
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