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saei

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## Homework Statement

I have a queuing problem. In an airport, 700 passengers arrive at the costume area uniformly distributed over a 20 minutes period. 65% are citizen and 35% are foreigner. we have 16 costume agents each of them handles either citizens or foreigners (not both). the times of costume agents to process citizens are exponentially distributed with 40 seconds and the service time for foreigners are exponentially distributed with mean 75 seconds. There are two queues, one for citizens and the other for foreigners. when a costume agent becomes free, the first one in appropriate queue goes to the agent. how many agents should serve citizens and home many should serve foreigners in order to minimize the mean time (time that a passenger arrive at the costume area to the time that the passenger completes service with a costume agents).

## Homework Equations

I try to Use M/M/m equations but the traffic intensity becomes greater than 1 and system will go to un-stability.