Discusss the below:
Q: A hospital has four types of operating rooms, 1,11.111, and IV, saving six departments, A, B, C, D, E, and F. Table below summarizes the daily availability of the different types of operating rooms. Table 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 Operating room availability
|
Weekday
|
Available Hours
|
|
|
Type I
08:00 - 15:30
|
Type 11
08:00 - 17:00
|
type III
08:00 - 15:30
|
Type IV
08:00 - 16:00
|
|
|
Monday
|
|
|
Tuesday
|
08:00 - 15:30
|
08:00 - 17:00
|
08:00 - 15:30
|
08:00 - 16:00
|
|
|
Wednesday
|
08:00- 15:30
|
08:00- 17:00
|
08:00- 15:30
|
08:00- 16:00
|
|
|
Thursday
|
08:00 - 15:30
|
08:00 - 17:00
|
08:00 - 15:30
|
08:00 - 16:00
|
|
|
Friday
|
09:00 - 15:30
|
09:00 - 17:00
|
09:00 - 15:30
|
09:00 - 16:00
|
|
|
Number of
Rooms
|
4
|
4
|
1
|
1
|
|
|
Department
|
Weekly Demand (hours)
|
Limit of Unmet Demand (hours)
|
|
A
|
189
|
10
|
|
B
|
117.4
|
10
|
|
C
|
39.4
|
10
|
|
D
|
19.9
|
10
|
|
E
|
26.3
|
10
|
|
F
|
SA
|
3
|