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We consider a queuing system where the number of active serverschanges depending on the length of the queue. As a practical example ofsuch system, we consider the security check queue at the airports. Thenumber of active servers increases when the queue grows by k customersand decreases accordingly. That allows to save server resources whilemaintaining acceptable performance (average queuing time and its variation)for customers. We obtain a closed-form solution for the servingtime, queue length...
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