Jumat, 08 Desember 2017

#TM13.Minggu.101217.Transportation Problem

Table 1

plant
TOTAL REQUIRED
A
B
C
D
Wh                1
10
9
7
11
10
2
8
6
9
7
8
3
11
12
14
11
7
4
4
6
3
9
9

Total available

11

12

5

6


Table 2 First Assignment

Plant
TOTAL REQUIRED
A
B
C
D
Wh                  1
10



10
2
1
7


8
3

5
2

7
4


3
6
9

Total available

11

12

5

6


Table 3 Revisi Cost

Plant
A
B
C
D
Wh                 1
6
4
8
2
6
4
3
8
8
4
1
3

Table 4 First Value Table



w/h
Plant
A
B
C
D
            Column v
   Row v

0

-2

0

6
Vc differences
1
7
            7          0
                    -1
                     3
                      5
Vc differences
2
5
            5          0
          3         0
                    -1
                     7
Vc differences
3
11
                         3
          9         0
         11       0
                     9
Vc differences
4
0
                       -1
                     5
           0        0
          6         0

Table 5 stepping stone method

Plant
A
B
C
D
Wh                1
              ⑩ -        ®
®
®
+
2
             ↑            
              ①+       ←
     
      ←    ⑦ -

3

     ↑   
              ⑤ +    ←
 
     ←     ② -
4


         ↑       
        ③ + ←
← ⑥  -

Table 6 second assignment

Plant
TOTAL REQUIRED
A
B
C
D
Wh                1
9



10
2
2
6


8
3

6
1

7
4


4
5
9

Total available

11

12

5

6


Table 7 second value table



w/h
Plant
A
B
C
D
            Column v
   Row v

0

-2

0


Vc differences
1
7
            7         
                   
                    
          8          
Vc differences
2
5
            5         
         3          
                   
                    
Vc differences
3
11
                         
          9         
         11      
                     
Vc differences
4
0
                       -
                    
          0         
          6