Agents at the security gate at the Hurtsfield County RegionalAirport are able to check passengers and process themthrough the security gate at the rate of 52 per hour (Poissondistributed). Passengers arrive at the gate throughout the dayat the rate of 45 per hour (Poisson distributed).a. Determine the average waiting time and waiting line.b. The passenger traffic arriving at the airport securitygate varies significantly during the day and flighttakeoffs tend to cluster making the passenger trafficvery heavy at specific times while at other times thereis little or no passenger traffic through the security gate.At the times leading up to flight takeoffs passengersarrive at a rate of 125 per hour (Poisson distributed).Develop and solve a waiting line system that canaccommodate this increased level of passenger traffic.
Agents at the security gate at the Hurtsfield County Regional
Airport are able to check passengers and process them
through the security gate at the rate of 52 per hour (Poisson
distributed). Passengers arrive at the gate throughout the day
at the rate of 45 per hour (Poisson distributed).
a. Determine the average waiting time and waiting line.b. The passenger traffic arriving at the airport security
gate varies significantly during the day and flight
takeoffs tend to cluster making the passenger traffic
very heavy at specific times while at other times there
is little or no passenger traffic through the security gate.
At the times leading up to flight takeoffs passengers
arrive at a rate of 125 per hour (Poisson distributed).
Develop and solve a waiting line system that can
accommodate this increased level of passenger traffic.
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SO what would be the L, Lq, and Wq of this problem? Assuming we are trying to develop and sovle a waiting line system that can accomodate this increased leel of passenger traffic.
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