Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the...
Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 2 every 10 minutes. The average service time is 1.5 minutes. The Poisson distribution is appropriate for the arrival rate and service times are negative exponentially distributed.
q: If a second drive-through window, with its own server, were added, the average time a car is in the system = nothing minutes (round your response to two decimal places).
Homework Answers
Arrival rate, 
= 2/10 per minute = 0.2 per minute
Average service time = 1.5 minutes
Service rate, 
= 1/1.5 = 0.667 per minute
/
= 0.2/0.667
= 0.3
q)
Using two drive-through windows (servers) , it is a multiple server (M/M/s) queue model
Refer the above table, and value of
/
= 0.3, and M = 2
corresponding value of Lq = 0.007
Lq is the average queue length
Average number of cars in system, L = Lq+/
= 0.007+0.3 = 0.307
Average time in system, W = L/
= 0.307/0.2
= 1.535 cars
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