Transportation Problem | Math Avenue
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How to solve transportation problems to optimize costs

In mathematics, transportation problems refer to a class of optimization problems that involve finding the most efficient way to transport a certain amount of goods from a set of sources to a set of destinations. The transportation problem typically involves minimizing the total cost of transportation, subject to constraints on the availability of goods and the capacity of transportation vehicles.

The transportation problem can be formulated as a linear programming problem, which can be solved using various optimization algorithms. The problem is typically represented using a matrix, where each row corresponds to a source and each column corresponds to a destination. The entries in the matrix represent the cost of transporting a unit of goods from a particular source to a particular destination.

Transportation problems can arise in a variety of real-world applications, such as supply chain management, logistics, and transportation planning. Some common examples include optimizing the delivery of goods from warehouses to retail stores, minimizing the cost of shipping raw materials from suppliers to factories and scheduling the distribution of goods to customers.

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