Abstract: In view of the allocation of medical examination appointment capacity， it is considered that emergency examinations that are in an idle state are added to routine examinations as temporary services， and the two together serve regular patients with appointments and walk-in patiets. With the goal of maximizing the expected return of the hospital， a medical examination appointment capacity allocation model is established， and the structure property of this model is analyzed to prove that there is an optimal appointment limit that maximizes the expected return on the day of service， and the conditions for solving the optimal appointment limit are given. Through a large number of numerical experiments， the influence of different parameters on the allocation scheme of medical examination capacity is analyzed. The results show that the number of arriving walk-in patients and temporary service ability have a greater influence on the allocation scheme.

Key words: medical examination; capacity allocation; walk-in patient; temporary service capacity; booking limit