The waiting time of patients is an important factor related with service quality of a hospital system. An appointment system of patients is not popular, in special, in a private hospital. An appointment system is expected to diversify patients in time and to reduce patient's waiting time. Three appointment rules are suggested and analyzed to compare the waiting time of appointment and walk-in patients using simulation analysis. The results of two way ANOVA show that the time slot of 30 minutes for allocating appointment patients is better than the time slot of 60 minites in view of patient's waiting time. The results of the appointment level 1 also show that the constant pattern rule and the zigzag pattern rule give shorter waiting time for walk-in patient and for appointment patient, respectively.