# Transportation Problem | Set 1 (Introduction)

**Transportation problem** is a special kind of **Linear Programming Problem (LPP)** in which goods are transported from a set of sources to a set of destinations subject to the supply and demand of the sources and destination respectively such that the total cost of transportation is minimized. It is also sometimes called as Hitchcock problem.

**Types of Transportation problems:**

**Balanced:** When both supplies and demands are equal then the problem is said to be a balanced transportation problem.

**Unbalanced:** When the supply and demand are not equal then it is said to be an unbalanced transportation problem. In this type of problem, either a dummy row or a dummy column is added according to the requirement to make it a balanced problem. Then it can be solved similar to the balanced problem.

**Methods to Solve:**

To find the initial basic feasible solution there are three methods:

- NorthWest Corner Cell Method.
- Least Call Cell Method.
- Vogel’s Approximation Method (VAM).

**Basic structure of transportation problem:**

In the above table **D1**, **D2**, **D3** and **D4** are the destinations where the products/goods are to be delivered from different sources **S1**, **S2**, **S3** and **S4**. **S _{i}** is the supply from the source

**O**.

_{i}**d**is the demand of the destination

_{j}**D**.

_{j}**C**is the cost when the product is delivered from source

_{ij}**S**to destination

_{i}**D**.

_{j}## Recommended Posts:

- Transportation Problem | Set 7 ( Degeneracy in Transportation Problem )
- Transportation Problem | Set 5 ( Unbalanced )
- Transportation Problem Set 8 | Transshipment Model-1
- Transportation Problem | Set 2 (NorthWest Corner Method)
- Transportation Problem | Set 3 (Least Cost Cell Method)
- Transportation Problem | Set 4 (Vogel's Approximation Method)
- Transportation Problem | Set 6 (MODI Method - UV Method)
- Hungarian Algorithm for Assignment Problem | Set 1 (Introduction)
- Secretary Problem (A Optimal Stopping Problem)
- 21 Matchsticks Problem
- Tiling Problem
- Fibonacci problem (Value of Fib(N)*Fib(N) - Fib(N-1) * Fib(N+1))
- Josephus Problem Using Bit Magic
- Cake Distribution Problem
- Frobenius coin problem

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