기숙제 대학 안전을 위한 제세동기 배치 문제: 한동대학교 사례를 중심으로

This paper studies the location design of defibrillators in a residential college. By incorporating survival rate functions into covering models, we develop the mathematical models to install the defibrillators. The survival functions are monotonically decreasing function of the response time to a patient and they return the probability of survival for the patient in a case of cardiac arrests. We propose two mathematical models to locate the defibrillators. One is to calculate the minimum number of defibrillators to guarantee a certain value of survival probability of the patient. Another model is to maximize the value of survival probability of patient. We apply our models to the residential college based on the insurance data to propose the installation of the defibrillators. Even integer programming model 1 provides different number of defibrillators to ensure same level of patients survival rate depending on three survival rate functions, it provides same locations if number of defibrillators is fixed. Integer programming model 2 generates the optimal location of defibrillators to maximize the survival probability of patients. Based on various experiments and sensitivity analysis, we suggests that 4 defibrillators are appropriate for our target area to ensure the survival probability of 50%.