What are the steps involved in transportation problem?

Steps Involved in Transportation Problem

Transportation problems are a type of linear programming problem that deals with the optimal allocation of resources from multiple sources to multiple destinations. The goal of a transportation problem is to minimize the total cost of transportation while satisfying all demand and supply constraints.

The steps involved in solving a transportation problem are as follows:

1. Define the problem. The first step is to define the problem by specifying the sources, destinations, and the cost of transportation between each source and destination.

2. Construct the transportation table. The next step is to construct the transportation table, which is a matrix that shows the cost of transportation between each source and destination. The table also includes the supply and demand for each source and destination.

3. Find a feasible starting point. The next step is to find a feasible starting point, which is a solution that satisfies all the supply and demand constraints. There are several methods for finding a feasible starting point, such as the northwest corner rule, the Vogel's approximation method, and the least cost method.

4. Optimize the solution. The final step is to optimize the solution by finding the solution that minimizes the total cost of transportation. There are several methods for optimizing a transportation problem, such as the stepping stone method, the modified distribution method, and the simplex method.

Transportation problems are a common type of linear programming problem that can be used to solve a variety of real-world problems. By following the steps outlined above, you can solve transportation problems efficiently and effectively.