The research found that roaming is available in the Department to report a 90 day resembles a Beta distribution. The section of re-entry permit is a Exponential distribution. The distribution of time in waiting for the service of the Department to Notify 90 days and Re-entry Permit is a Poisson distribution. The current queuing department reported a 90 Day is B / M / 1: FCFS / ∞ / ∞. Department to permit immigration is a M / M / 1: FCFS / ∞ / ∞.