Türkiye'deki bir hastane için sunulmuş, iki sınıflı kayıp sistemlerini içeren basitleştirilmiş yatak ayırma modeli

Hospital managers apply certain policies when developing daily schedules to admit patients to the hospital wards. Severeness of the patient, expected length of stay of the patient, expected number of incoming patients during the day or cost of the hospitalization are some factors that the manager considers during the decision making process. In this research, we develop a simplified model to understand the effects of admission, early discharge and overflow policies on the expected cost of the system. The model assumes that two hospital wards (main ward and overflow ward) serve two types of patients (severe and mild). The recovery time of a severe patient is represented by a two stage hypoexponential distribution whereas that of a mild patient follows an exponential distribution. The main ward serves both patient types, but the overflow ward can only accommodate mild patients. A mild patient may be discharged before his/her complete recovery upon an arrival of a severe patient. Early discharge decision is valid if there exists at least one type-2 patient in the system. We show that early discharge decision is not optimal unless all beds are occupied in the main ward. Furthermore, we establish the conditions which ensure that a patient type is "preferred" or "strongly preferred", where patients of a preferred type are always accepted when there is at least one free bed and patients of a strongly preferred type are accepted even when the ward is full by early discharge decision. Finally, we verify our findings with a numerical analysis whose data is taken from a private hospital in Turkey.