Consider the transportation problem having the following parameter table: Source 1 2 Demand 1 6 5 30 Destination 2 7 8 40 3 4 30 Supply 40 60 Formulate the network representation of this problem as a minimum cost flow problem. Use the northwest corner rule to obtain an initial BF solution. Then use the network simplex method to solve the problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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Consider the transportation problem having the following parameter table:
Source 1
2
Demand
1
6
5
30
Destination
2
7
8
40
3
4
6
30
Supply
40
60
Formulate the network representation of this problem as a minimum cost flow problem. Use the
northwest corner rule to obtain an initial BF solution. Then use the network simplex method to solve
the problem.
Transcribed Image Text:Consider the transportation problem having the following parameter table: Source 1 2 Demand 1 6 5 30 Destination 2 7 8 40 3 4 6 30 Supply 40 60 Formulate the network representation of this problem as a minimum cost flow problem. Use the northwest corner rule to obtain an initial BF solution. Then use the network simplex method to solve the problem.
Expert Solution
Step 1

The northwest corner method is explained below:

  D1 D2 D3 Supply
S1 6 7 4 40
S2 5 8 6 60
Demand 0 40 30  

Table-1

Operations Management homework question answer, step 1, image 1

Operations Management homework question answer, step 1, image 2

Operations Management homework question answer, step 1, image 3

The minimum total transportation cost =6×30+7×10+8×30+6×30=670

 

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