Page 110 - DCOM303_DMGT504_OPERATION_RESEARCH

Unit 5: Transportation Problem

Output Screen: Notes
Table 5.8 (b): TORA Output Screen (Vogel’s Method)

The first iteration itself is optimal, hence optimality is reached.

3. To find the total cost:
The total maximization profit associated with the solution is
Total Profit = (6 × 10) + (4 × 20) + (10 × 120) + (3 × 180) + (9 × 70) + (10 × 20)
+ (13 × 80) + (15 × 70)
= 60 + 80 + 1200 + 540 + 630 + 200 + 1040 + 1050
= ` 4800.00

5.5 Balanced Transportation Problem

When the total supplies of all the sources are equal to the total demand of all destinations, the
problem is a balanced transportation problem.
Total supply = Total demand

  
 
The problem given in Example 3.1 represents a balanced transportation problem.

5.6 Unbalanced Transportation Problem

When the total supply of all the sources is not equal to the total demand of all destinations, the
problem is an unbalanced transportation problem.

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