All airplane passengers at the Lake City Regional Airport mustpass through a security screening area before proceeding to theboarding area. The airport has three screening stations available,and the facility manager must decide how many to have open at anyparticular time. The service rate for processing passengers at eachscreening station is 6 passengers per minute. On Monday morning thearrival rate is 7.2 passengers per minute. Assume that processingtimes at each screening station follow an exponential distributionand that arrivals follow a Poisson distribution.
Note: Use P0 values from Table 11.4 toanswer the questions below.
- Suppose two of the three screening stations are open on Mondaymorning. Compute the operating characteristics for the screeningfacility.
Round your answer to four decimal places.
P0 = ??
Round your answers to two decimal places.
Lq = ??
L = ??
Wq = ??min
W = ??min
Round your answer to four decimal places.
Pw = ??
- Because of space considerations, the facility manager's goal isto limit the average number of passengers waiting in line to 10 orfewer. Will the two-screening-station system be able to meet themanager’s goal?
Yes or no?
- What is the average time required for a passenger to passthrough security screening? Round your answer to two decimalplaces.
?? min