How to Find Ui and Vj

For the routes used: U + V = cost of delivery
Let's find U i and V j step by step.
To do this, we need to enter the value of one of them. Let u2 = 0.
  Supplier   Consumer   U  
B 1 B 2 B 3 B 4
A 1
20
3
5
4
0
  
A 2
6
15
3
20
1
5
0
   u2 = 0  
A 3
10
3
20
2
7
0
  
  V       v2 = ?      
A2B2 :   v2 + u2 = 3     v2 = 3 - 0 = 3  
  Supplier   Consumer   U  
B 1 B 2 B 3 B 4
A 1
20
3
5
4
0
  
A 2
6
15
3
20
1
5
0
   u2 = 0  
A 3
10
3
20
2
7
0
  
  V       v2 = 3     v3 = ?    
A2B3 :   v3 + u2 = 1     v3 = 1 - 0 = 1  
  Supplier   Consumer   U  
B 1 B 2 B 3 B 4
A 1
20
3
5
4
0
  
A 2
6
15
3
20
1
5
0
   u2 = 0  
A 3
10
3
20
2
7
0
  
  V       v2 = 3     v3 = 1     v4 = ?  
A2B4 :   v4 + u2 = 0     v4 = 0 - 0 = 0  
  Supplier   Consumer   U  
B 1 B 2 B 3 B 4
A 1
20
3
5
4
0
  
A 2
6
15
3
20
1
5
0
   u2 = 0  
A 3
10
3
20
2
7
0
   u3 = ?  
  V       v2 = 3     v3 = 1     v4 = 0  
A3B2 :   v2 + u3 = 2     u3 = 2 - 3 = -1  
  Supplier   Consumer   U  
B 1 B 2 B 3 B 4
A 1
20
3
5
4
0
  
A 2
6
15
3
20
1
5
0
   u2 = 0  
A 3
10
3
20
2
7
0
   u3 = -1  
  V     v1 = ?     v2 = 3     v3 = 1     v4 = 0  
A3B1 :   v1 + u3 = 3     v1 = 3 - (-1) = 4  
  Supplier   Consumer   U  
B 1 B 2 B 3 B 4
A 1
20
3
5
4
0
   u1 = ?  
A 2
6
15
3
20
1
5
0
   u2 = 0  
A 3
10
3
20
2
7
0
   u3 = -1  
  V     v1 = 4     v2 = 3     v3 = 1     v4 = 0  
A1B1 :   v1 + u1 = 3     u1 = 3 - 4 = -1  
  Supplier   Consumer   U  
B 1 B 2 B 3 B 4
A 1
20
3
5
4
0
   u1 = -1  
A 2
6
15
3
20
1
5
0
   u2 = 0  
A 3
10
3
20
2
7
0
   u3 = -1  
  V     v1 = 4     v2 = 3     v3 = 1     v4 = 0  

Back to top


Please do not forget to support the site with a link.



© 2010-2023

If you have any comments, please write to siteReshmat@yandex.ru