Flying Lukas needs to check in at Columbia Airport to take his flight to New Yor
ID: 443591 • Letter: F
Question
Flying Lukas needs to check in at Columbia Airport to take his flight to New York. He can choose either to check in with a self-service counter or with an agent.
During busy periods, a new passenger walks to a self-service counter every minute (with a standard deviation of 1 minute). The passengers who want to check in with an agent walk in every 5 minutes (with a standard deviation of 5 minutes). There are 5 self-service counters installed, while there are two agents. A typical check-in process takes 4 minutes (with a standard deviation of 4 minutes), regardless of whether an agent or a self-service counter.
If Flying Lukas walks to a self-service counter to check in during a busy period, how long must he wait (on average) in line before he can use the machine? (Only include the waiting time, not any service time) Give your answer in minutes and round your answer to 3 decimal points.
Explanation / Answer
As per the stated data, the follwoing details are provided.
Service rate of the system = 4 min
Customer arrival rate = 1minute
Find out the waiting time as to when Flying Lukas walks to a self service counter to chrck in during busy period by using the formula shown below:
Queue’s waiting time
=