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

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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 1 (132.24 KiB) Viewed 41 times

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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 available hours of the different types of operating rooms. Table 2 below summarizes the number of available operating rooms on different days. Table 3 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 to determine the daily schedule for the utilization of operating rooms. Table 1. Operating Room Hours. Weekday Monday Tuesday Wednesday Thursday Friday Table 2. Operating Room Availability. Weekday Type I 4 Monday Tuesday Wednesday Thursday Friday Type I 08:00 15:30 08:00-15:30 08:00 15:30 08:00-15:30 09:00-15:30 A B C D E F 4 4 3 4 Available Hours Type II 08:00-17:00 08:00-17:00 08:00-17:00 08:00-17:00 09:00-17:00 Table 3. Weekly Demand for Operating Rooms. Department Weekly Demand (hours) 190 120 40 20 30 5 Number of Available Rooms Type II Type III 4 1 3 4 4 4 Type III 08:00 - 15:30 08:00 - 15:30 08:00 - 15:30 08:00 15:30 09:00 15:30 1 1 1 1 Type IV 08:00 - 16:00 08:00-16:00 08:00-16:00 08:00-16:00 09:00 16:00 Limit of Unmet Demand (hours) 10 10 10 10 10 3 Type IV 1 1 1 1 2