Results

For problem 2: Each nurse's schedule is shown if Table 3:

nurse 0:

Description travel rest serve travel rest serve
Time interval 8:00-8:25 8:25-8:50 8:50-9:10 9:10-9:24 9:24-9:40 9:40-10:00
Location (50,50)->(71,96) (71,96) (71,96) (71,96)->(55,71) (55,71) (55,71)
Description travel rest serve travel rest serve
Time interval 10:00-10:26 10:26-10:30 10:30-10:40 10:40-10:58 10:58-11:10 11:10-11:50
Location (55,71)->(6,89) (6,89) (6,89) (6,89)->(28,60) (28,60) (28,60)
Description travel rest serve rest    
Time interval 11:50-11:55 11:55-13:20 13:20-13:30 13:30-18:00    
Location (28,60)->(32,49) (32,49) (32,49) (32,49)    

nurse 1:

Description travel rest serve travel rest serve
Time interval 8:00-8:18 8:18-9:30 9:30-9:50 9:50-10:12 10:12-10:20 10:20-10:30
Location (50,50)->(13,44) (13,44) (13,44) (13,44)->(6,89) (6,89) (6,89)
Description travel rest serve travel rest serve
Time interval 10:30-10:59 10:59-11:00 11:00-11:20 11:20-11:49 11:49-14:00 14:00-14:20
Location (6,89)->(34,38) (34,38) (34,38) (34,38)->(90,57) (90,57) (90,57)
Description travel rest serve rest    
Time interval 14:20-15:04 15:04-15:20 15:20-15:40 15:40-18:00    
Location (90,57)->(19,4) (19,4) (19,4) (19,4)    

nurse 2:

Description travel rest serve travel rest serve
Time interval 8:00-8:22 8:22-9:30 9:30-9:50 9:50-9:59 9:59-10:20 10:20-10:50
Location (50,50)->(85,21) (85,21) (85,21) (85,21)->(66,16) (66,16) (66,16)
Description travel rest serve travel rest serve
Time interval 10:50-11:03 11:03-14:10 14:10-14:40 14:40-14:59 14:59-15:20 15:20-15:40
Location (66,16)->(45,32) (45,32) (45,32) (45,32)->(19,4) (19,4) (19,4)
Description serve rest        
Time interval 15:40-16:00 16:00-18:00        
Location (19,4) (19,4)        

nurse 3:

Description travel rest serve travel rest serve
Time interval 8:00-8:29 8:29-10:10 10:10-10:20 10:20-11:02 11:02-15:20 15:20-15:40
Location (50,50)->(6,89) (6,89) (6,89) (6,89)->(19,4) (19,4) (19,4)
Description travel rest serve travel rest serve
Time interval 15:40-15:40 15:40-15:40 15:40-16:00 16:00-16:28 16:28-17:10 17:10-17:30
Location (19,4) (19,4) (19,4) (19,4)->(76,11) (76,11) (76,11)

nurse 4:

Description travel rest serve travel rest serve
Time interval 8:00-8:18 8:18-10:20 10:20-10:50 10:50-11:14 11:14-15:30 15:30-15:40
Location (50,50)->(66,16) (66,16) (66,16) (66,16)->(19,4) (19,4) (19,4)
Description travel rest serve rest    
Time interval 15:40-15:40 15:40-15:40 15:40-16:00 16:00-18:00    
Location (19,4) (19,4) (19,4) (19,4)    

nurse 5:

Description travel rest serve serve rest  
Time interval 8:00-8:27 8:27-15:30 15:30-15:40 15:40-16:00 16:00-18:00  
Location (50,50)->(19,4) (19,4) (19,4) (19,4) (19,4)  

nurse 6:

Description travel rest serve travel rest serve
Time interval 8:00-8:27 8:27-15:30 15:30-15:40 15:40-16:15 16:15-16:20 16:20-16:50
Location (50,50)->(19,4) (19,4) (19,4) (19,4)->(22,75) (22,75) (22,75)

nurse 7:

Description travel rest serve rest    
Time interval 8:00-8:31 8:31-15:10 15:10-15:40 15:40-18:00    
Location (50,50)->(91,3) (91,3) (91,3) (91,3)    

nurse 8:

Description travel rest serve rest    
Time interval 8:00-8:18 8:18-15:50 15:50-16:10 16:10-18:00    
Location (50,50)->(66,16) (66,16) (66,16) (66,16)    

nurse 9:

Description travel rest serve rest    
Time interval 8:00-8:18 8:18-15:50 15:50-16:10 16:10-18:00    
Location (50,50)->(66,16) (66,16) (66,16) (66,16)    

nurse 10:

Description travel rest serve rest    
Time interval 8:00-8:18 8:18-15:50 15:50-16:10 16:10-18:00    
Location (50,50)->(66,16) (66,16) (66,16) (66,16)    

                      Table 3: time schedule of each nurse of problem 2

We can see that we need at least 11 nurses and 3 of them served maximum number of patients (5).

On average, each nurse serve 2.72 patients. efficiency is 2.72/5 =55%