A hospital has four types of operating rooms, I, II, III, and IV, serving six departments, A, B, C, D, E, and F. Table 1 below summarizes the daily availability of the different types of operating rooms. Table 2 below summarizes the weekly demand for operating room hours. The limit on unmet demand is the most hours a department can be denied relative to its weekly demand. The goal of the hospital is to meet the weekly demand of all departments. Please formulate a goal programming model and use GAMS to determine the daily schedule for the utilization of operating rooms. Table 1. Operating Room Availability Available Hours Weekday Type I Type II Type III Type IV Monday Tuesday 08:00~ 15:30 08:00 17:00 08:00~ 15:30 08:00~16:00 08:00 15:30 08:0017:00 08:00~15:30 08:0016:00 08:00 15:30 08:0017:00 08:00 15:30 08:00~16:00 08:00 15:30 08:00~ 17:00 08:00~15:30 08:00~16:00 09:00~15:30 09:00~ 17:00 09:00 15:30 09:00 16:00 Thursday Friday Number of Rooms Table 2. Weekly Demand for Operating Rooms Department Weekly Demand (hours)Limit of Unmet Demand (hours) 10 10 10 10 10 189 39.4 19.9 26.3 5.4
