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Question
What is transportation problem?
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Solution
The transportation problem deals with transporting goods from a source to a destination by a minimum cost.
Description: A Manufacturer has a number of factories which produces goods at a fixed rate.
He also has a number of warehouses, each of which has a fixed storage capacity.
There is a cost to transport goods from a factory to a warehouse.
Find the transportation of goods from factory to the warehouse that has the lowest possible cost.
Example:
Factories: A1 makes 5 units
A2 makes 4 units
A3 makes 6 units
Warehouses: b1 can store 5 units
b2 can store 3 units
b3 can store 5 units
b4 can store 2 units
Transportation costs:
| b1 | b2 | b3 | b4 | |
| A1 | 5 | 4 | 7 | 6 |
| A2 | 2 | 5 | 3 | 2 |
| A3 | 6 | 3 | 4 | 4 |
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| D1 | D2 | D3 | Supply | |
| O1 | 9 | 8 | 5 | 25 |
| O2 | 6 | 8 | 4 | 35 |
| O3 | 7 | 6 | 9 | 40 |
| Demand | 30 | 25 | 45 |
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| Sinks | |||||||
| A | B | C | D | E | Supply | ||
| P | 2 | 11 | 10 | 3 | 7 | 4 | |
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| A | 11 | 13 | 17 | 14 | 250 |
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| Destination | ||||||
| D1 | D2 | D3 | D4 | Supply | ||
| O1 | 2 | 3 | 11 | 7 | 6 | |
| Origin | O2 | 1 | 0 | 6 | 1 | 1 |
| O3 | 5 | 8 | 15 | 9 | 10 | |
| Demand | 7 | 5 | 3 | 2 | ||
