This is using excel, we have a Queue calculator we use screen shot of calculator is added, I just need to find , , and S.

The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers' parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don't get in until after the feature has started.)

1. What is the average customer time in the system?

2. What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds?

3. Would system waiting time be less than you found in (b) if a second window was opened with each server doing all three tasks?

https://puu.sh/Fv2Qo/b0d20e6840.png

Model 3: Multichannel, Poisson Arrival, Exponential Service Time Arrival Rate A = 100 Service Rate u = S= 120 2 Number of servers 3 4 5 6 7 Average number being served Average number in line Average number in system Average time in line Average time in system System Utilization P(zero units in system) Average waiting time P(wait) 0.833 0.175 1.008 0.002 0.010 0.417 0.412 0.007 0.245 0.833 0.022 0.856 0.000 0.009 0.278 0.432 0.004 0.058 0.833 0.003 0.836 0.000 0.008 0.208 0.434 0.003 0.011 0.833 0.000 0.834 0.000 0.008 0.167 0.435 0.002 0.002 0.833 0.000 0.833 0.000 0.008 0.139 0.435 0.002 0.000 0.833 0.000 0.833 0.000 0.008 0.119 0.435 0.001 0.000 Pw = Note: The Lq value in Exhibit 10.9may differ slightly from the La on this template. The value of Lg in this template is based on a queue formula