A car wash takes a constant time of 5.2 minutes in its automated car wash cycle. Autos arrive following a poisson distribution at the rate of 8 per hour. The owner wants to know:  (a) the average waiting time in line. (b) the average length of the line. (c) the average utilization rate. (d) the average time in the system.  (e) the average number of customers in the system.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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A car wash takes a constant time of 5.2 minutes in its automated car wash cycle. Autos arrive following a poisson distribution at the rate of 8 per hour. The owner wants to know: 

(a) the average waiting time in line.

(b) the average length of the line.

(c) the average utilization rate.

(d) the average time in the system. 

(e) the average number of customers in the system.

 

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