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VAM
Determine initial basic feasible solutions to the following transportation problem using
Vogel’s approximation method and north-west corner rule. (AKTU MBA, 2005)
Destination
D1 D2 D3 D4
Availability
Origin O1 1 2 1 4 20
O2 3 3 2 1 40
O3 4 2 5 9 20
O4 5 3 6 10 20
Requirement 20 40 30 10
Destination
D1 D2 D3 D4 Availability
Origin
O1
1 2 1 4
20
O2
3 3 2 1
40
O3
4 2 5 9
20
O4
5 3 6 10
20
Requirement 20 40 30 10
Destination
D1 D2 D3 D4 Availability Row Penalty
Origin
O1
1 2 1 4
20 0
O2
3 3 2 1
40 1
O3
4 2 5 9
20 2
O4
5 3 6 10
20 2
Requirement 20 40 30 10
Column Penalty 2 0 1 3
Total Cost = 20×1+30×2+10×1+20×2+20×3=190

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Vam

  • 1. VAM
  • 2. Determine initial basic feasible solutions to the following transportation problem using Vogel’s approximation method and north-west corner rule. (AKTU MBA, 2005) Destination D1 D2 D3 D4 Availability Origin O1 1 2 1 4 20 O2 3 3 2 1 40 O3 4 2 5 9 20 O4 5 3 6 10 20 Requirement 20 40 30 10
  • 3. Destination D1 D2 D3 D4 Availability Origin O1 1 2 1 4 20 O2 3 3 2 1 40 O3 4 2 5 9 20 O4 5 3 6 10 20 Requirement 20 40 30 10
  • 4. Destination D1 D2 D3 D4 Availability Row Penalty Origin O1 1 2 1 4 20 0 O2 3 3 2 1 40 1 O3 4 2 5 9 20 2 O4 5 3 6 10 20 2 Requirement 20 40 30 10 Column Penalty 2 0 1 3
  • 5.
  • 6. Total Cost = 20×1+30×2+10×1+20×2+20×3=190